Thermodynamics of trajectories of a quantum harmonic oscillator coupled to $N$ baths

Abstract

We undertake a thorough analysis of the thermodynamics of the trajectories followed by a quantum harmonic oscillator coupled to $N$ dissipative baths by using a new approach to large-deviation theory inspired by phase-space quantum optics. As an illustrative example, we study the archetypal case of a harmonic oscillator coupled to two thermal baths, allowing for a comparison with the analogous classical result. In the low-temperature limit, we find a significant quantum suppression in the rate of work exchanged between the system and each bath. We further show how the presented method is capable of giving analytical results even for the case of a driven harmonic oscillator. Based on that result, we analyse the laser cooling of the motion of a trapped ion or optomechanical system, illustrating how the emission statistics can be controllably altered by the driving force.

5 pages, 3 figures

References in corpus (8)

• The large deviation approach to statistical mechanics
• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• Non-Markovian effects on the dynamics of entanglement
• Fluctuation-Dissipation: Response Theory in Statistical Physics
• Work fluctuations for a Brownian particle between two thermostats
• Generalised Dicke non-equilibrium dynamics in trapped ions
• Bound particle coupled to two thermostats
• Dynamical symmetries and crossovers in a three-spin system with collective dissipation

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• Exploring quantum thermodynamics with NMR
• Landauer Principle and Thermodynamics of Computation
• Thermodynamics of trajectories and local fluctuation theorems for harmonic quantum networks
• Thermodynamics of trajectories of open quantum systems, step by step
• Exact nonequilibrium quantum observable statistics: A large-deviation approach
• Transport through a quantum critical system: A thermodynamically consistent approach
• Vibrational assisted conduction in a molecular wire
• Complexity of Quantum Trajectories