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Progress in Quantum Electronics

Quantum non-Gaussian optomechanics and electromechanics

Andrey A. Rakhubovsky, Darren W. Moore, Radim Filip

Published Dec 6, 2023• 16 citations
Publisher

Abstract

Mechanical systems prepared in quantum non-Gaussian states constitute a new advanced class of phenomena breaking the laws of classical physics. Specifically, such mechanical states cannot be described as any mixture of the Gaussian states produced by operations described by Hamiltonians at most quadratic in position and momentum, such as phase rotations, squeezing operations and linear driving. Therefore, they form a class of resourceful states for quantum technological tasks such as metrology, sensing, simulation and computation. Quantum opto- and electromechanics are advanced platforms for quantum mechanical experiments with broad applications offering various methods for preparing such mechanical quantum non-Gaussian states. The suitability of these platforms as transducers additionally allows the integration of such mechanical states into a variety of other related platforms. Here, we summarise the current techniques for creating these states, emphasizing those that have had experimental success and looking to methods that show promise for future experiments. By collating these results, we expect to stimulate new ideas for non-Gaussian state preparation in these fields, resulting in the realisation of further experiments. Moreover, we provide concise and clear explanations of the milestones of research in the quantum non-Gaussianity of mechanical states and its implementation and verification in a laboratory setting.

DOI
10.1016/j.pquantelec.2023.100495

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Mechanical systems prepared in quantum non-Gaussian states constitute a new advanced class of phenomena breaking the laws of classical physics. Specifically, such mechanical states cannot be described as any mixture of the Gaussian states produced by operations described by Hamiltonians at most quadratic in position and momentum, such as phase rotations, squeezing operations and linear driving. Therefore, they form a class of resourceful states for quantum technological tasks such as metrology, sensing, simulation and computation. Quantum opto- and electromechanics are advanced platforms for quantum mechanical experiments with broad applications offering various methods for preparing such mechanical quantum non-Gaussian states. The suitability of these platforms as transducers additionally allows the integration of such mechanical states into a variety of other related platforms. Here, we summarise the current techniques for creating these states, emphasizing those that have had experimental success and looking to methods that show promise for future experiments. By collating these results, we expect to stimulate new ideas for non-Gaussian state preparation in these fields, resulting in the realisation of further experiments. Moreover, we provide concise and clear explanations of the milestones of research in the quantum non-Gaussianity of mechanical states and its implementation and verification in a laboratory setting.
The ability to control the motion of mechanical systems through interaction with light has opened the door to a plethora of applications in fundamental and applied physics. With experiments routinely reaching the quantum regime, the focus has now turned towards creating and exploiting interesting non-classical states of motion and entanglement in optomechanical systems. Quantumness has also shifted from being the very reason why experiments are constructed to becoming a resource for the investigation of fundamental physics and the creation of quantum technologies. Here, by focusing on opto- and electromechanical platforms we review recent progress in quantum state preparation and entanglement of mechanical systems, together with applications to signal processing and transduction, quantum sensing and topological physics, as well as small-scale thermodynamics.
Cavity quantum optomechanics has emerged as a new platform for quantum science and technology and has applications ranging from quantum-information processing to tests of the foundations of physics. Of crucial importance for optomechanics is the generation and verification of non-Gaussian states of motion and a key outstanding challenge is the observation of a canonical two-mode Schrodinger-cat state in the displacement of two mechanical oscillators. In this work, we introduce a protocol that utilizes the nonlinearity of the radiation-pressure interaction combined with photon-counting measurements to generate this bipartite non-Gaussian mechanical state. Our protocol employs short optical pulses to both generate the mechanical quantum state, and to then measure arbitrary mechanical quadrature moments, which we utilize to verify the non-Gaussian entanglement. Our entanglement-verification procedure can be used to evaluate an entire class of inseparability criteria and also provides a route for experimental characterisation of a broad range of single- and multi-partite mechanical states. Key experimental factors, such as optical loss and mechanical decoherence, are carefully analyzed and we show that the scheme is feasible with only minor improvements to current experiments that operate outside the resolved-sideband regime. Our scheme provides a new avenue for quantum experiments with entangled mechanical oscillators and offers significant potential for further research and development that utilizes such non-Gaussian states for quantum-information and sensing applications, and for studying the quantum-to-classical transition.
As a cornerstone of quantum science and technology, quantum precision measurement aims to transcend the standard quantum limit (SQL) and achieve sensitivities unattainable by classical approaches by harnessing distinctive quantum resources such as entanglement, squeezing and non-Gaussianity. Within this framework, Gaussian states have historically played a central role, underpinning a series of seminal experimental advances; however, their utility in metrology is fundamentally bounded by theoretical constraints that preclude unlimited gains in measurement precision. In contrast, a growing body of recent research has revealed that non-Gaussian states–endowed with stronger quantum correlations and more pronounced non-classical characteristics — can significantly surpass Gaussian counterparts in key tasks such as phase estimation, quantum imaging and quantum sensing. Under specific conditions, these states even exhibit the potential to approach or saturate the ultimate Heisenberg limit. This review offers a comprehensive overview of the theoretical underpinnings, representative preparation methodologies, experimental progress and emerging applications of non-Gaussian states in quantum metrology. Special attention is devoted to illustrating their transformative potential for the development of next-generation quantum sensors and high-precision measurement instruments, while also addressing prevailing challenges and delineating promising future research trajectories in this rapidly advancing field.
Quantum opto- and electromechanical systems interface mechanical motion with the electromagnetic modes of optical resonators and microwave circuits. The capabilities and promise of these hybrid devices have been showcased through a variety of recent experimental advances that demonstrated exquisite control over the quantum state of solid-state mechanical objects. In this perspective, we offer an overview of the current state, as well as an outlook of the future directions, challenges, and opportunities for this growing field of research. We focus, in particular, on the prospects for ground state cooling of mechanical modes and their use in quantum circuits, transducers, and networks.
Optomechanics with levitated nanoparticles is a promising way to combine very different types of quantum non-Gaussian aspects induced by continuous dynamics in a nonlinear or time-varying potential with the ones coming from discrete quantum elements in dynamics or measurement. First, it is necessary to prepare quantum non-Gaussian states using both methods. The nonlinear and time-varying potentials have been widely analyzed for this purpose. However, feasible preparation of provably quantum non-Gaussian states in a single mechanical mode using discrete photon detection has not been proposed yet for optical levitation. We explore pulsed optomechanical interactions combined with non-linear photon detection techniques to approach mechanical Fock states and confirm their quantum non-Gaussianity. We also predict the conditions under which the optomechanical interaction can induce multiple-phonon addition processes, which are relevant for nnn-phonon quantum non-Gaussianity. The practical applicability of quantum non-Gaussian states for sensing phase-randomized displacements is shown. Besides such applications, generating quantum non-Gaussian states of levitated nanoparticles can help to study fundamental questions of quantum thermodynamics, and macroscopic quantum effects.
Abstract Cavity quantum optomechanics has emerged as a new platform for quantum science and technology with applications ranging from quantum-information processing to tests of the foundations of physics. Of crucial importance for optomechanics is the generation and verification of non-Gaussian states of motion and a key outstanding challenge is the observation of a canonical two-mode Schrödinger-cat state in the displacement of two mechanical oscillators. In this work, we introduce a pulsed approach that utilizes the nonlinearity of the radiation–pressure interaction combined with photon-counting measurements to generate this entangled non-Gaussian mechanical state, and, importantly, describe a protocol using subsequent pulsed interactions to verify the non-Gaussian entanglement generated. Our pulsed verification protocol allows quadrature moments of the two mechanical oscillators to be measured up to any finite order providing a toolset for experimental characterisation of bipartite mechanical quantum states and allowing a broad range of inseparability criteria to be evaluated. Key experimental factors, such as optical loss and open-system dynamics, are carefully analyzed and we show that the scheme is feasible with only minor improvements to current experiments that operate outside the resolved-sideband regime. Our scheme provides a new avenue for quantum experiments with entangled mechanical oscillators and offers significant potential for further research and development that utilizes such non-Gaussian states for quantum-information and sensing applications, and for studying the quantum-to-classical transition.