Contributions from populations and coherences in non-equilibrium entropy production
arXiv:2102.11244 · doi:10.1088/1367-2630/abfe20
Abstract
The entropy produced when a quantum system is driven away from equilibrium can be decomposed in two parts, one related with populations and the other with quantum coherences. The latter is usually based on the so-called relative entropy of coherence, a widely used quantifier in quantum resource theories. In this paper we argue that, despite satisfying fluctuation theorems and having a clear resource-theoretic interpretation, this splitting has shortcomings. First, it predicts that at low temperatures the entropy production will always be dominated by the classical term, irrespective of the quantum nature of the process. Second, for infinitesimal quenches, the radius of convergence diverges exponentially as the temperature decreases, rendering the functions non-analytic. Motivated by this, we provide here a complementary approach, where the entropy production is split in a way such that the contributions from populations and coherences are written in terms of a thermal state of a specially dephased Hamiltonian. The physical interpretation of our proposal is discussed in detail. We also contrast the two approaches by studying work protocols in a transverse field Ising chain, and a macrospin of varying dimension.
arXiv commentComments are welcome!
References in corpus (78)
- A nonequilibrium equality for free energy differences
- Quantifying Coherence
- Bell nonlocality
- Quantum Coherence as a Resource
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Fluctuation theorem for stochastic dynamics
- Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
- Quantum Thermodynamics
- The role of quantum information in thermodynamics --- a topical review
- Fundamental limitations for quantum and nano thermodynamics
- Fluctuation theorems: Work is not an observable
- Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
- The Resource Theory of Quantum States Out of Thermal Equilibrium
- A nano heat engine beyond the Carnot limit
- Maximal work extraction from quantum systems
- Enhancing the charging power of quantum batteries
- Dissipation: The phase-space perspective
- Quantum Equivalence and Quantum Signatures in Heat Engines
- Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
- Experimental reconstruction of work distribution and verification of fluctuation relations at the full quantum level
- Exact Large Deviation Function in the Asymmetric Exclusion Process
- Entanglement Generation is Not Necessary for Optimal Work Extraction
- The extraction of work from quantum coherence
- Towards fully quantum second laws of thermodynamics: limitations on the evolution of quantum coherences
- Quantum-enhanced absorption refrigerators
- Reconciliation of quantum local master equations with thermodynamics
- Generalized Clausius inequality for nonequilibrium quantum processes
- Quantum Coherence and Ergotropy
- Entropy production and the arrow of time
- Bounds on the capacity and power of quantum batteries
- An experimental test of the Jarzynski equality in a mechanical experiment
- Test of Jarzynski and Crooks fluctuation relations in an electronic system
- Entropy production and thermodynamic power of the squeezed thermal reservoir
- Non-equilibrium quantum fluctuations of work
- The role of quantum coherence in non-equilibrium entropy production
- Emergent thermodynamics in a quenched quantum many-body system
- Dissipation and lag in irreversible processes
- Reversing the direction of heat flow using quantum correlations
- The role of coherence in the non-equilibrium thermodynamics of quantum systems
- Irreversibility and the arrow of time in a quenched quantum system
- Covariance and Fisher information in quantum mechanics
- Entanglement and the Thermodynamic Arrow of Time
- Autonomous Quantum Refrigerator in a Circuit-QED Architecture Based on a Josephson Junction
- Thermodynamics of weakly coherent collisional models
- Distribution of Entropy Production in a Single-Electron Box
- Optimal work extraction and thermodynamics of quantum measurements and correlations
- Work fluctuations in slow processes: quantum signatures and optimal control
- Quantum fluctuation theorems beyond two-point measurements
- Distribution of Entropy Production for a Colloidal Particle in a Nonequilibrium Steady State
- Quantum work statistics close to equilibrium
- A quasiprobability distribution for heat fluctuations in the quantum regime
- Assessing the non-equilibrium thermodynamics in a quenched quantum many-body system via single projective measurements
- Quantum fluctuations hinder finite-time information erasure near the Landauer limit
- Concepts of work in autonomous quantum heat engines
- Work and Quantum Phase Transitions: Is there Quantum Latency?
- Verification of the Quantum Nonequilibrium Work Relation in the Presence of Decoherence
- Exact results for fidelity susceptibility of the quantum Ising model: The interplay between parity, system size, and magnetic field
- Exchange Fluctuation Theorem for correlated quantum systems
- Experimental demonstration of work fluctuations along a shortcut to adiabaticity with a superconducting Xmon qubit
- Thermodynamics of Optical Bloch Equations
- Optimal work extraction from quantum states by photo-assisted Cooper pair tunneling
- Nonequilibrium critical scaling from quantum thermodynamics
- Energetic footprints of irreversibility in the quantum regime
- Out-of-equilibrium dynamics driven by localized time-dependent perturbations at quantum phase transitions
- Scaling properties of work fluctuations after quenches at quantum transitions
- Quantum coherence and criticality in irreversible work
- Exact work statistics of quantum quenches in the anisotropic XY model
- One and two-dimensional quantum models: quenches and the scaling of irreversible entropy
- Quantum work statistics and resource theories: bridging the gap through Renyi divergences
- Quantum thermodynamics with missing reference frames: Decompositions of free energy into non-increasing components
- Effects of the Dzyaloshinsky-Moriya interaction on nonequilibrium thermodynamics in the chain in a transverse field
- Relations between Dissipated Work and Rényi Divergences
- Non-equilibrium quantum thermodynamics in Coulomb crystals
- Particle-number scaling of the quantum work statistics and Loschmidt echo in Fermi gases with time-dependent traps
- Irreversible Work versus Fidelity Susceptibility for infinitesimal quenches
- Work distribution in a photonic system
Cited by in corpus (10)
- Impact of non-Markovian quantum Brownian motion on quantum batteries
- Entropy of the quantum work distribution
- Optimal control of dissipation and work fluctuations for rapidly driven systems
- Quantum and classical contributions to entropy production in fermionic and bosonic Gaussian systems
- Quantum quench thermodynamics at high temperatures
- Geometrical bounds on irreversibility in squeezed thermal bath
- Entropy Production from Maximum Entropy Principle: a Unifying Approach
- Evidence of genuine quantum effects in nonequilibrium entropy production
- The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
- Squeezing generation crossing a mean-field critical point: Work statistics, irreversibility and critical fingerprints