Non-equilibrium quantum thermodynamics of a particle trapped in a controllable time-varying potential

Abstract

Many advanced quantum techniques feature non-Gaussian dynamics, and the ability to manipulate the system in that domain is the next-stage in many experiments. One example of meaningful non-Gaussian dynamics is that of a double-well potential. Here we study the dynamics of a levitated nanoparticle undergoing the transition from an harmonic potential to a double-well in a realistic setting, subjecting to both thermalisation and localisation. We characterise the dynamics of the nanoparticle from a thermodynamic point-of-view, investigating the dynamics with the Wehrl entropy production and its rates. Furthermore, we investigate coupling regimes where the the quantum effect and thermal effect are of the same magnitude, and look at suitable squeezing of the initial state that provides the maximum coherence. The effects and the competitions of the unitary and the dissipative parts onto the system are demonstrated. We quantify the requirements to relate our results to a bonafide experiment with the presence of the environment, and discuss the experimental interpretations of our results in the end.

12 pages, 6 figures. Comments are welcome

References in corpus (8)

• Motional Quantum Ground State of a Levitated Nanoparticle from Room Temperature
• Quantum Decoherence
• Tools for quantum simulation with ultracold atoms in optical lattices
• Levitodynamics: Levitation and control of microscopic objects in vacuum
• Quantum control of a nanoparticle optically levitated in cryogenic free space
• The Wigner Entropy Production Rate
• Assessing the non-equilibrium thermodynamics in a quenched quantum many-body system via single projective measurements
• Testing collapse models with levitated nanoparticles: the detection challenge

Cited by in corpus (5)

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• Nonlinear Phase Gates as Airy Transforms of the Wigner Function
• Interference of longitudinal and transversal fragmentations in the Josephson tunneling dynamics of Bose-Einstein condensates
• Non-equilibrium quantum thermodynamics of a particle trapped in a controllable time-varying potential