Negative contributions to entropy production induced by quantum coherences

Abstract

The entropy production in dissipative processes is the essence of the arrow of time and the second law of thermodynamics. For dissipation of quantum systems, it was recently shown that the entropy production contains indeed two contributions: a classical one and a quantum one. Here we show that for degenerate (or near-degenerate) quantum systems there are additional quantum contributions which, remarkably, can become negative. Furthermore, such negative contributions are related to significant changes in the ongoing thermodynamics. This includes phenomena such as generation of coherences between degenerate energy levels (called horizontal coherences), alteration of energy exchanges and, last but not least, reversal of the natural convergence of the populations toward the thermal equilibrium state. Going further, we establish a complementarity relation between horizontal coherences and population convergence, particularly enlightening for understanding heat flow reversals. Conservation laws of the different types of coherences are derived. Some consequences for thermal machines and resource theory of coherence are suggested.

arXiv comment8+11 pages, 5 figures. References added. Small changes and adjustments implemented. Accepted in Phys. Rev. A - final author version

References in corpus (64)

• Quantifying Coherence
• Quantum Coherence as a Resource
• Thermodynamic uncertainty relation for biomolecular processes
• Quantum Thermodynamics
• Quantum Thermodynamic Cycles and quantum heat engines
• Fundamental limitations for quantum and nano thermodynamics
• Dissipation bounds all steady-state current fluctuations
• Entanglement generated by dissipation and steady state entanglement of two macroscopic objects
• Quantum heat engines and refrigerators: Continuous devices
• Quantum coherence, time-translation symmetry and thermodynamics
• Environment Induced Entanglement in Markovian Dissipative Dynamics
• Universal trade-off between power, efficiency, and constancy in steady-state heat engines
• Entanglement induced by a single-mode heat environment
• How to quantify coherence: Distinguishing speakable and unspeakable notions
• Entangled light from white noise
• Quantum speed limits, coherence and asymmetry
• Universal bounds on current fluctuations
• Entropy production and the arrow of time
• Nonequilibrium entropy production for open quantum systems
• Thermodynamic uncertainty relations from exchange fluctuation theorems
• Cavity Mediated Collective Spin Exchange Interactions in a Strontium Superradiant Laser
• Thermodynamics of precision in quantum non equilibrium steady states
• A Unified View of Quantum Correlations and Quantum Coherence
• Coherence effects in the performance of the quantum Otto heat engine
• The role of quantum coherence in non-equilibrium entropy production
• Cycling tames power fluctuations near optimum efficiency
• Dissipatively driven entanglement of two macroscopic atomic ensembles
• Reversing the direction of heat flow using quantum correlations
• The role of coherence in the non-equilibrium thermodynamics of quantum systems
• Entanglement and the Thermodynamic Arrow of Time
• Work fluctuations in slow processes: quantum signatures and optimal control
• The Wigner Entropy Production Rate
• Non-equilibrium quantum heat machines
• Correlating thermal machines and the second law at the nanoscale
• Cavity-induced coherence effects in spontaneous emission from pre-Selection of polarization
• Cooperative many-body enhancement of quantum thermal machine power
• Multiatom Quantum Coherences in Micromasers as Fuel for Thermal and Nonthermal Machines
• Experimental determination of irreversible entropy production in out-of-equilibrium mesoscopic quantum systems
• Long-lived quasi-stationary coherences in V-type system driven by incoherent light
• Verschraenkung versus Stosszahlansatz: Disappearance of the Thermodynamic Arrow in a High-Correlation Environment
• Quantum coherence, many-body correlations, and non-thermal effects for autonomous thermal machines
• Coherence and non-classicality of quantum Markov processes
• Role of quantum coherence in the thermodynamics of energy transfer
• Modified Bloch-Redfield Master Equation for Incoherent Excitation of Multilevel Quantum Systems
• Driven-Dissipative Quantum Dynamics in Ultra Long-lived Dipoles in an Optical Cavity
• A sufficient set of experimentally implementable thermal operations
• Temperature control in dissipative cavities by entangled dimers
• Autonomous thermal machine for amplification and control of energetic coherence
• Quantum dynamics of incoherently driven V-type system: Analytic solutions beyond the secular approximation
• Apparent temperature: demystifying the relation between quantum coherence, correlations, and heat flows
• Energetic and entropic effects of bath-induced coherences
• Quantum Thermodynamics with Degenerate Eigenstate Coherences
• Smoothed generalized free energies for thermodynamics
• Thermal production, protection and heat exchange of quantum coherences
• An Invitation to Quantum Channels
• Relaxation to Negative Temperatures in Double Domain Systems
• Cavity cooling of an ensemble spin system
• Thermodynamics from indistinguishability: mitigating and amplifying the effects of the bath
• Heat flow reversals without reversing the arrow of time: the role of internal quantum coherences and correlations
• Collective operations can extremely reduce work fluctuations
• Cavity cooling to the ground state of an ensemble quantum system
• The correlation production in thermodynamics
• Probing bath-induced entanglement in a qubit pair by measuring photon correlations
• Cavity implementation of quantum interference in a $\Lambda$-type atom

Cited by in corpus (22)

• Open quantum system dynamics and the mean force Gibbs state
• Unified Gorini-Kossakowski-Lindblad-Sudarshan quantum master equation beyond the secular approximation
• Violating the Thermodynamic Uncertainty Relation in the Three-Level Maser
• Superconducting-like heat current: Effective cancellation of current-dissipation trade off by quantum coherence
• Entanglement and thermokinetic uncertainty relations in coherent mesoscopic transport
• Roles of quantum coherences in thermal machines
• Engineering a heat engine purely driven by quantum coherence
• Role of Quantum Coherence in Kinetic Uncertainty Relations
• Full counting statistics and coherences: fluctuation symmetry in heat transport with the Unified quantum master equation
• Quantum coherence-control of thermal energy transport: The V model as a case study
• Quantum Rayleigh problem and thermocoherent Onsager relations
• Quantum and classical contributions to entropy production in fermionic and bosonic Gaussian systems
• Long-lived quantum coherent dynamics of a $\Lambda$-system driven by a thermal environment
• Boosting Biomolecular Switch Efficiency With Quantum Coherence
• A Compendious Review of Majorization-Based Resource Theories: Quantum Information and Quantum Thermodynamics
• Geometrical bounds on irreversibility in squeezed thermal bath
• Energetic advantages of non-adiabatic drives combined with non-thermal quantum states
• Experimental demonstration of generalized quantum fluctuation theorems in the presence of coherence
• Evidence of genuine quantum effects in nonequilibrium entropy production
• Violation of the thermodynamic uncertainty relation in quantum collisional models
• Entropy production versus memory effects in two-level open quantum systems
• Behavior of quantum coherence in the ultrastrong and deep strong coupling regimes of light-matter system