Dynamics and thermodynamics of linear quantum open systems

Abstract

We analyze the behavior of a network of quantum oscillators coupled with a number of external environments. We show that the dynamics is such that the quantum state of the network always obeys a local master equation with a simple analytical solution. We use this to study the emergence of thermodynamical laws in the stationary regime, achieved for sufficiently long times if the environments are dissipative. We show that the validity of the second law implies the impossibility of building a quantum refrigerator without moving parts (therefore, a quantum absorption refrigerators requires non-linearity as an crucial ingredient, as recently proposed by Kosloff and others cite{Kosloff1,Kosloff2}). We also show that the third law imposes strong constraints on the low frequency behavior of the environmental spectral densities.

4 pages of main text, 6 pages of supplementary material, 1 figure; substantially modified, detailed derivations presented in the supplementary material

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Cited by in corpus (68)

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• Thermodynamics of quantum systems under dynamical control
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• Non-additive dissipation in open quantum networks out of equilibrium
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• Thermal transport in out of equilibrium quantum harmonic chains
• Photocell Optimisation Using Dark State Protection
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• A quantum Otto engine with finite heat baths: energy, correlations, and degradation
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• Continuous Measurement Boosted Adiabatic Quantum Thermal Machines
• Pushing the limits of the reaction-coordinate mapping
• Characterizing autonomous Maxwell demons
• Coherence and entanglement of mechanical oscillators mediated by coupling to different baths
• Lyapunov equation in open quantum systems and non-Hermitian physics
• From non-equilibrium Green's functions to quantum master equations for the density matrix and out-of-time-order correlators: steady state and adiabatic dynamics
• Driven quantum harmonic oscillators: A working medium for thermal machines
• Coupled Harmonic Systems as Quantum Buses in Thermal Environments
• von Neumann entropy and the entropy production of a damped harmonic oscillator
• A general framework for multimode Gaussian quantum optics and photo-detection: application to Hong-Ou-Mandel interference with filtered heralded single photon sources
• Zeroth law of thermodynamics for thermalized open quantum systems having integrals of motion
• Entanglement generation in quantum thermal machines
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• Universal Dissipationless Dynamics in Gaussian Continuous-variable Open Systems
• Non-equilibrium Dynamics of Renyi Entropy for Bosonic Many-Particle Systems
• Currents and fluctuations of quantum heat transport in harmonic chains
• Catalytic Gaussian thermal operations
• Time-resolved Stochastic Dynamics of Quantum Thermal Machines
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• Nonequilibrium Steady State and Heat Transport in Nonlinear Open Quantum Systems: Stochastic Influence Action and Functional Perturbative Analysis
• Stochastic simulation of dissipative quantum oscillators
• General theory for thermal and nonthermal quantum linear engines
• Heat transfer in a nonequilibrium spin-boson model: A perturbative approach
• Theory of the strongly-damped quantum harmonic oscillator
• Quasi-equilibrium relaxation of two identical quantum oscillators with arbitrary coupling strength
• Relaxation of two coupled quantum oscillators to quasi-equilibrium states based on path integrals
• Heat transport in overdamped quantum systems
• Dynamics and stationarity of two coupled arbitrary oscillators interacting with separate reservoirs
• Potential renormalisation, Lamb shift and mean-force Gibbs state -- to shift or not to shift?
• Pointer-based simultaneous measurements of conjugate observables in a thermal environment
• Dynamics of two externally driven coupled quantum oscillators interacting with separate baths based on path integrals
• Non-Hamiltonian modeling of squeezing and thermal disorder in driven oscillators
• Local energy assignment for two interacting quantum thermal reservoirs
• Quantum correlations for two coupled oscillators interacting with two heat baths
• Structure of Quantum Mean Force Gibbs States for Coupled Harmonic Systems
• Nonlinear stochastic and quantum motion from Coulomb forces
• Position representation of single-mode Gaussian channels beyond the Gaussian functional form
• Quantum dynamics of a bosonic mode and a two-level system interacting with several reservoirs
• Entropic uncertainty bound for open pointer-based simultaneous measurements of conjugate observables
• Heat transfer and entanglement -- non-equilibrium correlation spectra of two quantum oscillators
• Sustaining a temperature difference