Non-equilibrium quantum thermodynamics of a particle trapped in a controllable time-varying potential
arXiv:2303.05289 · doi:10.1117/12.2657707
Abstract
Non-equilibrium thermodynamics can provide strong advantages when compared to more standard equilibrium situations. Here, we present a general framework to study its application to concrete problems, which is valid also beyond the assumption of a Gaussian dynamics. We consider two different problems: 1) the dynamics of a levitated nanoparticle undergoing the transition from an harmonic to a double-well potential; 2) the transfer of a quantum state across a double-well potential through classical and quantum protocols. In both cases, we assume that the system undergoes to decoherence and thermalisation. In case 1), we construct a numerical approach to the problem and study the non-equilibrium thermodynamics of the system. In case 2), we introduce a new figure of merit to quantify the efficiency of a state-transfer protocol and apply it to quantum and classical versions of such protocols.
References in corpus (25)
- Cavity Optomechanics
- The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
- Shortcuts to adiabaticity: concepts, methods, and applications
- The role of quantum information in thermodynamics --- a topical review
- Quantum Thermodynamics
- Motional Quantum Ground State of a Levitated Nanoparticle from Room Temperature
- A nano heat engine beyond the Carnot limit
- Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
- Irreversible entropy production, from quantum to classical
- Levitodynamics: Levitation and control of microscopic objects in vacuum
- Real-time optimal quantum control of mechanical motion at room temperature
- Classical and Quantum Fluctuation Theorems for Heat Exchange
- Quantum control of a nanoparticle optically levitated in cryogenic free space
- Optomechanics with Levitated Particles
- The Wigner Entropy Production Rate
- Experimental determination of irreversible entropy production in out-of-equilibrium mesoscopic quantum systems
- Spin Quantum Heat Engine Quantified by Quantum Steering
- Optimizing autonomous thermal machines powered by energetic coherence
- Exact resummation of the Holstein-Primakoff expansion and differential equation approach to operator square-roots
- Quantum Fluctuation Theorems
- Spin-phase-space-entropy production
- Non-equilibrium quantum thermodynamics of a particle trapped in a controllable time-varying potential
- Quantifying protocol efficiency: a thermodynamic figure of merit for classical and quantum state-transfer protocols
- Non-equilibrium quantum thermodynamics of a particle trapped in a controllable time-varying potential
- An Introduction to the Holstein-Primakoff Transformation, with Applications in Magnetic Resonance