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Mechanical quantum systems controlled

The control of quantum systems offers great potential for advanced information-processing and sensing applications. An approach has been demonstrated that enables such control over the motion of mechanical oscillators.
Michael R. Vanner is at the Quantum Measurement Laboratory, Department of Physics, Imperial College London, London SW7 2BW, UK.
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People tend to behave differently when they are being watched. It turns out that objects in the quantum world do, too, and that the very act of measurement can modify their behaviour. This effect is a consequence of Heisenberg’s uncertainty principle, which states that, if we measure the position of a moving object precisely, we cannot simultaneously know the object’s momentum. Writing in Nature, Rossi et al.1 report an experiment that beautifully demonstrates this tenet of quantum physics. The authors use their measurements to apply a feedback force to a mechanical oscillator — an object akin to a vibrating drumhead — to greatly suppress the oscillator’s motion. The work opens up an avenue for controlling mechanical quantum systems by continuously monitoring and manipulating their dynamics.

The use of measurements and feedback to stabilize a system is a well-developed technique in engineering and is applied in many everyday technologies. For example, the technique is used to stabilize the motion of lifts, and is also used to reduce the effects of turbulence during flights in many types of aircraft. Researchers have now extended these concepts so that measurement and feedback can be used to control the properties of individual quantum systems2.

Prominent experimental examples of quantum control include preparing and stabilizing quantum states of a microwave signal that bounces between a pair of mirrors known as an optical cavity3, and controlling the state of a superconducting quantum bit of information4. Progress in quantum control has been rapid during the past few decades, and researchers have been extending these techniques to other physical systems to exploit the advantages that different systems provide.

One such area under development is cavity quantum optomechanics, in which laser light inside an optical cavity is used to control the motion of a mechanical oscillator. Central to this field of research is the radiation–pressure interaction, whereby the reflection of light from an object modifies the object’s momentum and, concurrently, causes the light to acquire a phase shift — a shift in the crests and troughs of the light’s electric field — that depends on the object’s position. Using this interaction, physicists can both precisely measure and control mechanical motion.

A key goal in optomechanics research has been to bring mechanical motion close to its ground state — the state that describes the tiny amount of jiggling that is imposed by quantum mechanics, even at absolute zero temperature. Realizing this state is a convenient starting point for future quantum experiments that would otherwise be unfeasible because of random heat-induced fluctuations of the mechanical motion.

A common route to achieving this goal is sideband cooling — a technique that uses light to reduce mechanical fluctuations and that was previously applied to trapped ions. The method requires the light in the optical cavity to have a lifetime that is much longer than the period of the mechanical motion. This configuration of experimental parameters is known as the resolved-sideband regime, and precludes fast measurements of the mechanical motion because the cavity accumulates a signal of such motion over a relatively long timescale.

Rossi and colleagues developed an optomechanical experiment that operates well outside the resolved-sideband regime. The authors placed a millimetre-sized mechanical membrane inside an optical cavity that was continuously supplied with light from a laser (Fig. 1). They monitored the resulting phase shifts in the light using a device known as a homodyne detector, which enabled the membrane’s position to be measured continuously.

Figure 1 | Quantum measurement and feedback. a, Rossi et al.1 report an experiment in which a millimetre-sized mechanical membrane interacts with light that bounces back and forth between a pair of mirrors known as an optical cavity. The drumhead-like motion of the membrane causes the light to acquire a phase shift that depends on the position of the membrane. The black and red dashed lines indicate a mechanical displacement and such a phase shift, respectively. b, The authors continuously supplied the cavity with light (red) from a laser. They monitored the phase shift of light that was transmitted through the cavity using a device called a homodyne detector, thus enabling a continuous measurement of the membrane’s position. The signal from the detector was then used to control the intensity of a second laser. The light (blue) from this laser applied a feedback force to the membrane that brought the membrane’s motion close to its ground state — a convenient starting point for future quantum experiments.

The authors then passed the signal from the detector through a filter, which essentially converted the information about the membrane’s position into information about its momentum, and used this new signal to control the intensity of a second laser. The light from the second laser applied a feedback force to the membrane that greatly suppressed the membrane’s motion. Using this approach, the team achieved a mean thermal occupation of approximately 0.3, which means that the oscillator was in the ground state for more than 75% of the time.

Rossi and co-workers’ achievement can be viewed as the culmination of decades of research in engineering and quantum physics, and it builds on the work of several other groups around the globe that are too numerous to list here. The use of laser light to both monitor mechanical motion and apply a feedback force was first studied theoretically5 in the late 1990s, and a proof-of-concept experiment was carried out shortly thereafter6. Since then, improvements in optomechanical experiments have enabled researchers7 to achieve a thermal occupation of about 5.3, which is equivalent to a ground-state probability of 16%. The technique has also been used to stabilize the mirrors in gravitational-wave detectors8.

Key to the present work’s success was the fact that the speed with which the experiment precisely measured the position of the membrane was much faster than the rate at which the membrane returns to thermal equilibrium. Such a regime is said to have high ‘quantum cooperativity’, and allowed the physics of the Heisenberg uncertainty principle to be clearly visible in Rossi and colleagues’ experimental results.

The authors’ work not only demonstrates the utility of quantum measurement and feedback, but also highlights the richness of optomechanical experiments that operate well outside the resolved-sideband regime. Among many applications, working in this regime allows optomechanical interactions to be carried out that, when combined with the authors’ control method, offer a route towards producing ‘quantum-superposition’ states of mechanical motion9. Such states would be useful to both develop quantum technologies and probe the foundations of physics.

Nature 563, 39-40 (2018)

doi: 10.1038/d41586-018-07169-4

References

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    Rossi, M., Mason, D., Chen, J., Tsaturyan, Y. & Schliesser, A. Nature 563, 53–58 (2018).

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    Wiseman, H. M. & Milburn, G. J. Quantum Measurement and Control (Cambridge Univ. Press, 2009).

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    Sayrin, C. et al. Nature 477, 73–77 (2011).

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    Vijay, R. et al. Nature 490, 77–80 (2012).

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    Mancini, S., Vitali, D. & Tombesi, P. Phys. Rev. Lett. 80, 688–691 (1998).

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    Wilson, D. J. et al. Nature 524, 325–329 (2015).

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    Abbott, B. et al. New J. Phys. 11, 073032 (2009).

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    Ringbauer, M., Weinhold, T. J., Howard, L. A., White, A. G. & Vanner, M. R. New J. Phys. 20, 053042 (2018).

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