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How to make a better quantum thermometer

A theoretical framework for creating practical quantum thermometers that are optimized for taking the temperature of tiny structures as varied as living cells and quantum bits has been created by physicists in Spain and the UK. The work identifies an important trade-off between the precision and operating range of such quantum probes, and also describes how they could be used in the lab.

The temperature of an everyday object can easily be taken by putting it into contact with a thermometer. But this is much trickier when the object is extremely cold, extremely small or both. This is because heat will be exchanged between the thermometer and the object, ultimately affecting the measurement. The growing interest in creating nanometre-sized quantum devices for use in computing, metrology and other applications means that physicists must gain an understanding of the thermodynamics of these systems. This requires the ability to measure the temperature of such devices to nanometre precision – an ability that could also be also useful for taking the temperature of living cells.

Gold and diamond thermometers

In 2013, for example, Mikhail Lukin of Harvard University and colleagues used a tiny diamond (just 100 nm in diameter) to measure the temperature within a living cell at a spatial resolution of 200 nm (see “Nanodiamond thermometer takes temperature of biological cells“). Other researchers have shown that quantum dots – tiny pieces of semiconductor – can be used to measure the temperature of electrons in samples cooled below 1 K.

These tiny probes can be thought of as “quantum thermometers” because they sense the effect of heat energy on the fragile quantum states of an otherwise isolated system. Such systems are very sensitive to external stimuli such as heat, which makes them very good temperature probes. However, their development is in its infancy, and much work must be done to create quantum probes that are optimized for use in specific situations.

Now, Luis Correa, Mohammad Mehboudi and Anna Sanpera of the Universitat Autònoma de Barcelona, along with Gerado Adesso of the University of Nottingham, have done a theoretical investigation of what types of quantum systems make the best temperature probes. They have also done calculations to find out what are the best ways of operating these hypothetical devices.

Fully thermalized

The team looked at “fully thermalized thermometers”, which are devices that are in thermal equilibrium with the system they are measuring. This is much like a traditional mercury or alcohol thermometer immersed in a beaker of water.

The team’s calculations revealed that the probe’s heat capacity – the amount of energy required to raise its temperature by one degree – is an important parameter in the design of a quantum thermometer. The heat capacity is related to the number of different ways that the system can be excited from its ground state – its degrees of freedom – and the calculations show that increasing the number of degrees of freedom boosts the precision of the measurement.

However, the team found that increasing the degrees of freedom also narrows the range of temperatures in which the probe is effective – which means that designing a practical probe would involve a trade-off between precision and range.

Range versus precision

In the case of the Lukin’s diamond thermometer, thermal energy can excite the ground state of its atom-like system into one of two degenerate excited states (degrees of freedom). If more degenerate excited states were available, then the diamond thermometer would be more precise, but would function over a narrower range of temperatures. This trade-off suggests that other quantum systems that do not have a large number of degenerate excited states – such as the harmonic oscillator – could be used as practical temperature probes that work over wide temperature ranges.

The team points out that an effective way of probing the temperature of a tiny object would involve first using a low-precision, wide-range probe to make a rough measurement. Then successively more precise probes would be used to reduce the uncertainty in the measurement.

The team also looked at “partially thermalized thermometers” that are able to take the temperature of an object without being at thermal equilibrium with it. Such a probe would be useful if the system to be measured was unstable and existed for a time that is much shorter than the time it would take for probe and object to equilibrate. In this case, they found that the probe should be at its lowest possible temperature when applied. They also found that while the precision of a partially thermalized measurement increases with the number of degrees of freedom, the temperature range of the probe remains constant.

Correa and colleagues hope that their theoretical framework will help to improve experiments that measure heat dissipation in nanometre-sized circuits, and also guide scientists in developing new ways to study the transfer of heat in living cells.

The research is described in Physical Review Letters.

Success, failure and women in physics

xkcd comic

By Margaret Harris

Giving out science careers advice is tricky. On the one hand, you want to be encouraging – not least because if you aren’t, there is a chance that your advisee will go on to win a Nobel prize, and you will then look extremely silly. But on the other hand, you also want to prepare the person, mentally, for the possibility of failure. Otherwise, when they do fall short, they may not know how to recover and try again.

The need for balance between encouraging big dreams and preparing for failure was one of the central insights to come out of Sunday’s panel on “Feminism, sexism and bringing up girls” at the Cheltenham Science Festival. After one of the panel members, psychologist Tanya Byron, noted that in clinical practice she sees many bright, successful girls whose fear of failure is “absolutely destroying them”, her fellow panellist Gabriel Weston put her finger on the heart of the problem. How, Weston asked, do we celebrate young women’s achievements and encourage their dreams without also pushing them to be “perfect little glass statues” who shatter under pressure?

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Table-top spectroscopy technique tracks phonons

Researchers at the Massachusetts Institute of Technology (MIT) have measured how far heat-carrying lattice vibrations – or phonons – travel in a material using a table-top optical spectroscopy technique. Phonons are normally studied using neutron scattering and other methods that require access to major facilities, so the new method makes it easier to characterize the thermal properties of materials. Indeed, the technique could help in the design of computer chips that run cooler and lead to better thermoelectric materials that convert heat into electricity.

The diffusion of heat in relatively large objects is well described by Fourier’s law, which relates the rate of heat transfer to the difference in temperature between hot and cold regions. Heat energy is carried through materials by phonons, and Fourier’s law applies when the distance a phonon can travel before scattering – its mean free path – is much smaller than the object. However, this does not apply to many of the nanostructures in today’s computer chips, making it difficult to understand how heat flows out of these objects without having detailed knowledge of how the phonons behave.

Large facilities

To further complicate matters, different phonon modes in the same material can have different mean free paths, which must be taken into consideration when working out heat transfer at the nanoscale. However, measuring the mean free paths of phonons in materials is an onerous task, as lead researcher Gang Chen explains. “Extracting the mean free path of phonons normally relies on techniques such as inelastic neutron scattering on single crystals, which requires large facilities that are not always readily available or accessible,” he says. “Our work shows that we can do it on an optical table in the lab.”

The researchers studied heat dissipation from tiny metallic dots – the smallest measuring around 30 nm across – patterned on a substrate such as silicon or silicon–germanium crystals. They began by heating their samples using an intense, ultrashort laser pulse. The dots are heated by absorbing the energy from the laser and the heat is conducted to the underlying material. A second and much weaker laser pulse is then fired at the dot to measure its temperature using an established technique called time-domain thermoreflectance.

“Since some of the phonons in our sample have longer mean free paths than the size of the dots, we cannot describe heat conduction by the ‘classic’ Fourier heat-diffusion theory,” Chen explains. “Instead, heat is conducted in a regime that we call ‘quasi-ballistic’. By varying the dot size, we sample different phonons with different mean free paths. And since laser beams may excite both electrons and holes in the semiconductors we studied (something that complicates the signal), we design the structures in such a way as to avoid this problem.”

Hotter than predicted

He adds that the technique is a new way to extract phonon mean free paths in solids. “Our work also reveals that when the heat source is smaller than the distance travelled by phonons, the Fourier law underestimates how hot the heat source becomes. This has implications for modelling the thermal properties of materials and designing microelectronics devices, which are in fact currently modelled as obeying the Fourier law,” he says.

The results imply that in the drain region of semiconductor devices such as metal-oxide-semiconductor field-effect transistors (MOSFETs), the temperature rise may be higher than predictions based on the bulk thermal conductivity. Heat is typically dissipated in this region, which is around tens of nanometres thick.

Many applications

Controlling the thermal properties of such materials is important for many applications, including thermoelectrics, for thermal insulation, and for dissipating waste heat in integrated circuits. However, doing this is more difficult than it might seem, since thermal transport in solids generally involves heat carriers travelling over varying distances and it is not easy to determine how these carriers distribute themselves in a sample.

The team, which includes Mildred Dresselhaus of MIT, Lingping Zeng, who is in Chen’s group at MIT, Yongjie Hu of the University of California, Los Angeles, and Austin Minnich of the California Institute of Technology, says that it is now busy further improving and simplifying its technique so that it can be used to characterize the thermal properties of a host of other materials.

The research is described in Nature Nanotechnology.

Liquid droplets create logic circuits

Multiple droplets of a magnetic fluid have been used to create all of the fundamental logic circuits within a computer. Created by researchers in the US, the circuits are made by having the interacting droplets move through a matrix of interconnected tracks while under the influence of an applied magnetic field. While still at an early stage, the research could provide a new platform for creating lab-on-a-chip technologies, as well as provide insights into the fundamental physics of collective behaviour.

While electronic computers process abstract information, it is often the case that their ultimate function is to control a real physical system such as a manufacturing or sensing process. Now, Manu Prakash and colleagues at Stanford University in California have created a system that combines the control of both information and matter at the same time.

Their circuits are based on droplets of water that contain magnetic nanoparticles, which are sandwiched between a thin layer of oil and a piece of glass embedded with iron tracks. When a rotating magnetic field is applied, it creates a set of rotating energy minima.

Ratcheting and repulsion

If the base was just a sheet of iron with no tracks, the droplets would travel around in circles, following the energy minima created by the field. However, by carefully designing the iron tracks and incorporating breaks at the right places, the researchers can create a “ratchet” effect whereby every complete rotation causes a droplet to move into an adjacent energy minimum. Therefore, instead of travelling in circles, a droplet moves in a specific direction through the circuit. Furthermore, by creating two tracks that are mirror images of each other, two droplets will rotate in opposite directions in response to the same field.

The droplets also repel each other because of a combination of hydrodynamic and magnetic forces. Prakash says that this mutual repulsion between droplets allows the team to create “the droplet equivalent of a transistor” in which the presence (or absence) of one droplet will dictate the path taken by another droplet. Using this, and denoting the binary numbers 1 and 0 by the presence and absence of a droplet, respectively, the researchers created droplet logic gates. These gates can perform the complete set of Boolean-logic operations, which forms the basis of computer programs.

By combining these gates appropriately, says Prakash, the researchers could, in principle, execute any computer program. Crucially, Prakash explains, all of the droplet logic operations run at exactly the same clock frequency – that of the applied field. This enables the parallel processing crucial to electronic logic, in which, for example, the output of one logical operation can depend on two inputs, each of which is, in turn, the output of separate previous logical operations. The universal clock frequency ensures that both inputs arrive at exactly the same time and are read correctly by the logic gate.

Manipulating matter

Prakash stresses that the purpose of the research is not to supersede the electronic computer, but instead to enable what he describes as “algorithmic manipulation of matter”. A droplet moving through such a circuit can encase molecules or cells, thereby delivering them to particular places or ordering them in specific ways. This could be useful for the chemical or biological analysis of samples in lab-on-a-chip systems or in the directed or self-assembly of larger structures from components carried in droplets.

Manoj Chaudhary of Lehigh University in Pennsylvania says that he found the research “quite fascinating”. “People have been working on what we call digital fluidics for quite some time,” he says, “but they have been controlling the motion of droplets one after another. The researchers have tried to build a new philosophy here by controlling multiple droplets simultaneously.” Chaudhary suspects that the research may have applications to fundamental physics by building in noise or nonlinearity, and looking for signs of collective behaviour emerging from large numbers of interacting droplets.

In the video below, Manu Prakash and colleagues explain how their droplet logic circuits work.

The research is described in Nature Physics.

Is dark energy becoming marginalized?

By Tushna Commissariat

Here at Physics World, we enjoy a good debate and late last week, a paper appeared on the arXiv server that is bound to kick up quite the storm, once it has been peer-reviewed and published. Titled “Marginal evidence for cosmic acceleration from type Ia supernovae”, the paper was written by Subir Sarkar of the Particle Theory Group at the University of Oxford and the Niels Bohr Institute in Copenhagen, together with colleagues Alberto Guffanti and Jeppe Trøst Nielsen. It suggests that the cosmic expansion may not be occurring at an accelerating rate after all, contrary to the findings of previous Nobel prize-winning work and most of our current standard cosmological models, including that of dark energy.

Indeed, the researchers’ work suggests that the evidence for acceleration is nowhere near as strong as previously suggested – it is closer to 3σ rather than 5σ, and allows for expansion at a constant velocity. Nielsen et al. have come to this conclusion after studying a much larger database of type Ia supernovae – 50 of which were studied in the original work, while this study looks at 740 – that are used as “standard candles” to detect cosmic acceleration.

This study is sure to make many cosmologists sit up and take notice, and an interesting discussion is sure to follow. So watch this space and check back in with us, once the paper is published and we catch up with Sarkar and his colleagues.

Getting into the mind of Maxwell

Malcolm Longair on the beauty of Maxwell's equations

By Matin Durrani

In case you’ve forgotten – and shame on you if you have – 2015 has been designated the International Year of Light and Light-based Technologies (IYL 2015).  There’s been loads going on all over the globe, which you can follow on the excellent IYL 2015 blog, and we at Physics World have been in on the act too don’t forget. Our March 2015 issue was devoted to light and we also produced a digital-only collection of our 10 best features on light, which you can read free here.

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The landscapes of CERN, 20 years of BECs and the truth about toilet swirl

 

By Hamish Johnston

Everyone knows that water in a draining sink or toilet swirls in opposite directions on opposite sides of the equator…or does it? For the answer, watch the instructions in the above video and then go to “The truth about toilet swirl”.

Physicists at CERN are a lucky bunch. As well as having the world’s most energetic collider at their disposal, they are also surrounded by the natural beauty of the Alps and the Jura mountains. However, I've always felt that the CERN site itself and the flat farmland that overlays the Large Hadron Collider (LHC) are rather dull.

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Ultracold ions put friction to the test

"Dragging" ultracold ions across an optical lattice has provided important insights into friction. By tweaking the distance between the ions, Alexei Bylinskii, Dorian Gangloff and Vladan Vuletić of the Massachusetts Institute of Technology in the US were able to reduce the friction between the two by a factor of 100. Their work could provide important insights into "superlubricity" and further the development of tiny mechanical devices.

Friction often occurs as a "stick–slip" process whereby two objects slide over each other with a jerking motion. While this suggests that the objects are alternatively grabbing and then releasing each other, the exact physical process is not well understood at the atomic scale. Even more puzzling is the phenomenon of superlubricity, in which some objects can slide over each other with zero friction.

Stuck in the gaps

One possible explanation for these processes is that friction is greatest when the spacing between atoms at the surface of one object is the same or commensurate with the spacing at the surface of the other object. In this case, all of the atoms on one surface will become stuck in the gaps between atoms in the other surface. When a sliding force is applied, it must be large enough to wrench all of these atoms out of the gaps before they slip into the next gap and become stuck again. If the gaps and atoms are incommensurate, fewer atoms will get stuck and friction will be weaker. If the mismatch is very large, then superlubricity could occur. This is the essence of the Frenkel–Kontorova (FK) model of friction, which was first suggested more than 75 years ago.

To understand how this transition from slip–stick to superlubricity occurs, Vuletić's team looked at what happens when a line of equally spaced ions slides across a 1D optical lattice – which is essentially a standing wave of light with peaks and troughs of intensity. The experiment involves cooling ytterbium ions to a temperature of near absolute zero (48 μK), and holding as many as six ions in a line using electric fields. The mutual electrical repulsion of the ions causes them to separate with a spacing of 6 μm. The wavelength of the optical lattice is about 185 nm.

Drag and drop

The line of ions is "dragged" across the lattice by applying an electric field in that direction. When an ion "slips" from one trough to the next, it emits fluorescent light, which is detected by a microscope. When the ions and the lattice are commensurate, the team measures a relatively large friction force. When the experiment is repeated several times using ion separations that are increasingly incommensurate, friction falls by a factor of 100.

By observing the light emitted by the ions as they move, the team showed that all of the ions in a commensurate line were sticking simultaneously after a slip. However, in a mismatched line only some of the ions appeared to be sticking after a slip – behaviour that is predicted by the FK model.

"What we can do is adjust at will the distance between the ions to either be matched to the optical lattice for maximum friction, or mismatched for no friction," Vuletić says. He describes the commensurate stick–slip process as being like an earthquake: "There's force building up, and then there's suddenly a catastrophic release of energy." In contrast, incommensurate sliding is much smoother, with some ions sticking in troughs and others ending up at peaks where they are free to move. An animation of both motions is shown in the video above.

Temperature dependent

The researchers also found evidence that temperature had a very significant effect on the friction – even at 48 μK. This is because their observations are best described by a model that includes the thermal motion of the ions.

Friction is important for those trying to build extremely small machines, because frictional processes that have little effect on large devices can completely gum up a nanoscale device. Therefore, the insights from this latest research could lead to the development of materials with tailored frictional properties. The work could also provide important insights into the operation of "molecular motors" in living organisms, which make clever use of friction.

The research is reported in Science.

Single-molecule diode has record-breaking current

A single-molecule diode with the highest on–off current (or rectification) ratio to date has been unveiled by a team of physicists and chemists in the US. While single-molecule diodes have been made in the past, they suffered from low conductance and very low rectification ratios. The new diode could be used to study the fundamental electronic properties of materials on the molecular scale, and might lead to the development of better nanoscale electronic devices.

Electronic devices made from single molecules, including single-electron transistors, memory elements and optical switches, have been around since the 1990s. However, making single-molecule diodes – the most basic of all electronic elements – has proved to be a difficult task.

A single-molecule diode is a two-terminal electronic component that allows current to flow in only one direction; the idea of such a device was first proposed more than 40 years ago in a theory paper. The concept involved an asymmetric "donor-bridge-acceptor" molecule, and was expected to work like the semiconductor p–n junction in a conventional diode. Since then, researchers have made several single-molecule diodes featuring asymmetric molecules. However, despite improvements in the properties of these devices over the decades, they still suffer from low conductance and low rectification ratios (of less than 11). They also require high operating voltages of around 1 V.

Symmetric molecule works

A molecular diode normally needs to have an asymmetric structure so that the current flow is also asymmetric in terms of direction. This is usually achieved by using an inherently asymmetric molecule or by using electrodes made from different materials. Now, a team of researchers led by Latha Venkataraman of Columbia University in New York has succeeded in building asymmetry into a molecular diode using a symmetric molecule and electrodes made from the same metal (gold). This was done by adjusting the electrostatic environments where the molecule is attached to each electrode, which involved having one end of the molecule in contact with a planar electrode with a large surface area. The other end of the molecule is in contact with a sharp-tipped electrode coated with wax, so it offers a much smaller surface area (see figure). The researchers also operated the device in a polar solvent and exposed different areas of the electrodes to this ionic medium.

Asymmetric charge distribution

The result of this interface asymmetry is that double layers of differing charge densities develop at the two electrodes–molecule interfaces. These double layers originate from ions in the solvent that propagate towards the interfaces to screen out the electric field generated by electrical charges in the gold. "This asymmetric charge distribution is responsible for the enhanced current rectification we observed," explains Venkataraman.

"Our technique to enhance current rectification in these single-molecule structures is simple and robust. It also alleviates the need for complex synthesis strategies required to design asymmetric molecules," says team member Brian Capozzi.

The researchers say they achieved rectification ratios of more than 200 at voltages as low as 370 mV using molecules comprising symmetric oligomers of thiophene-1,1-dioxide. The same junctions immersed in non-polar solvents do not show any rectification, which the team says proves that the environment around the electrodes plays a key role in the operation of the devices.

Fundamental electronic structure

"Combined with the high rectification and currents that we have measured, our technique might also be used to make real-world devices, and could be applied to other nanoscale device components, not just single-molecule junctions," says Venkataraman. And that is not all: the method provides a way to experimentally probe how energy levels are aligned in single-molecule junctions – something that could be useful for studying the fundamental electronic structure of a variety of other device components.

The team, which includes groups lead by Luis Campos of Columbia University and Jeffrey Neaton of the University of California, Berkeley, says that it is now busy optimizing and developing even better single-molecule diodes.

The devices are described in Nature Nanotechnology.

Black elephants: scientific issues that we don’t talk about

A few months ago the New York Times used the curious term "black elephant", attributing it to the London-based investor and environmentalist Adam Sweidan. The term crosses two already familiar expressions. One is "black swan" – a name for something whose repercussions force you to throw out key theories that you took for granted, such as the premise that "all swans are white". The other term is "elephant in the room" – something whose presence everyone knows but nobody seriously addresses out of fear or embarrassment.

Sweidan's examples of "black elephants" were environmental and included global warming, ocean acidification and pollution of water supplies. To address these issues on the required scale, Sweidan said, would profoundly disrupt current political activity. So we ignore them. A black elephant is therefore something that changes everything, but which no-one wants to deal with.

I believe black elephants are found in pure science as well. In January, for example, I wrote about shutdown ceremonies for synchrotron radiation sources. I noted that such mundane, even cliquey, events are natural and spring from the special character of the scientific community and the feelings of its participants. Yet you won't find these events mentioned in books on how science works, nor could anybody I spoke to could clearly describe their value.

I had "captured it well", e-mailed one scientist, mentioning his mixed feelings of pride and gratitude, affection and loss at the closing ceremony for a machine he had worked on. His remark convinced me that, in shutdown ceremonies, I had spotted a black elephant. In science, in other words, a black elephant is a familiar feature that is routinely excluded from formal accounts of how science works, and could not be incorporated without ruining them.

Why some elephants are black

The scientific world is a sprawling and untidy place whose inhabitants practise their craft in myriad ways. Attempts are periodically made to bring order to this world by building model homes in it, so to speak, and declaring that what's inside is what science is really like – all the activities outside being imperfect versions. That way, we can easily teach it and tell outsiders what it's about.

Two such homes are particularly attention-grabbing. The first is orderly, its atmosphere logical, and its disputes calmly resolved by proposing theories and taking data. Experiments are good when they get the true result, wrong when they don't. This house does not have normal people inside – the inhabitants are so exacting and rule-abiding that they live and act quite differently from the rest of us. Discoveries made inside this house are universal, reflecting truths about nature outside. This house was built by traditional philosophy of science.

Another house was erected in reaction to the first. Its inhabitants behave exactly as non-scientists do, motivated by the same social and psychological forces. Experiments are good when they get a result everyone accepts. What's found in the room is not universal but local – arising from what's happening in that room. Obtaining consensus about a result is a matter of swapping interests, like the work of diplomats. This home, built by "social constructivists", has real people inside but no real nature.

My characterization is simplified, and each model house has undergone modifications. Still, it's a good first approximation. The model houses might be different, but they have in common that they seek to give an abstract, formalized representation of the scientific process from the perspective of someone outside the territory. They differ in what they include and omit. The first, to oversimplify, gets rid of human beings, who disrupt the rationality inside the house. The second gets rid of nature, which would resist, define and frustrate the negotiations.

Each house has a different set of black elephants, common and easily recognizable features of the scientific life that it would be impolitic to discuss. In the first house, one black elephant is the example I mentioned – shutdown ceremonies at machines that are integral to the lives and work of communities of scientists. In the second house, however, a shutdown ceremony is not a black elephant; such events might be read, for instance, as deliberate attempts to consolidate and reinforce a community in preparation for a political drive to request a new facility.

The cost of house-building is illustrated by recent silly debates about whether string theory can truly be considered science if it has no testable predictions. String theory doesn't fit into the first model house. But the scandal here is not about the flawed character of string theory as science, but about the flawed architecture of the first house. The scandal should even cause us to examine our fascination for house-building.

The critical point

"We learn how to do science," Steven Weinberg writes in his new book To Explain the World, "not by making rules about how to do science, but from the experience of doing science, driven by desire for the pleasure we get when our methods succeed in explaining something."

Science is a way of making sense of the world and has gone on for centuries. It has continually accreted knowledge during that time and is always being extended further, but – as Weinberg says – not in a form that can be reduced to rules or negotiating interests. If you are trying to describe science – rather than just do it – you have to beware of your assumptions, including why you are looking at it and what you are hoping to find; you also have to be ready to revise them when necessary.

So in describing how science works we shouldn't aim at building permanent houses. Instead, we should create temporary tents that let us watch science in action – ready to be taken down and moved. That way we can appreciate the elephants, rather than paint them black.

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