Thermodynamic consistency of the optomechanical master equation
arXiv:1806.08175 · doi:10.1103/PhysRevA.98.052123
Abstract
We investigate the thermodynamic consistency of the master equation description of heat transport through an optomechanical system attached to two heat baths, one optical and one mechanical. We employ three different master equations to describe this scenario: (i) The standard master equation used in optomechanics, where each bath acts only on the resonator that it is physically connected to; (ii) the so-called dressed-state master equation, where the mechanical bath acts on the global system; and (iii) what we call the global master equation, where both baths are treated non-locally and affect both the optical and mechanical subsystems. Our main contribution is to demonstrate that, under certain conditions including when the optomechanical coupling strength is weak, the second law of thermodynamics is violated by the first two of these pictures. In order to have a thermodynamically consistent description of an optomechanical system, therefore, one has to employ a global description of the effect of the baths on the system.
8 pages, 5 figures, comments very welcome!
References in corpus (19)
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- Single-photon Optomechanics
- Opto-mechanical transducers for long-distance quantum communication
- Proposal for an Optomechanical Traveling Wave Phonon-Photon Translator
- Markovian master equations for quantum thermal machines: local vs global approach
- Cavity Nonlinear Optics at Low Photon Numbers from Collective Atomic Motion
- Markovian Master Equations: A Critical Study
- Modeling heat transport through completely positive maps
- Photon-induced tunneling in optomechanical systems
- Optomechanical-like coupling between superconducting resonators
- Theory of an optomechanical quantum heat engine
- Full photon statistics of a light beam transmitted through an optomechanical system
- Quantum coherence in ultrastrong optomechanics
- A quantum heat engine with coupled superconducting resonators
- Quantum correlations of light due to a room temperature mechanical oscillator for force metrology
- Thermodynamic deficiencies of some simple Lindblad operators
- Quantum Optomechanics beyond Linearization
- Out-of-equilibrium Thermodynamics of Quantum Optomechanical Systems
- Heat transport in harmonic oscillator systems with correlated baths: Application to optomechanical arrays
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