Universal Upper Bound on Ergotropy and No-Go Theorem by the Eigenstate Thermalization Hypothesis

Abstract

We show that the maximum extractable work (ergotropy) from a quantum many-body system is constrained by local athermality of an initial state and local entropy decrease brought about by quantum operations. The obtained universal upper bound on ergotropy implies that the eigenstate thermalization hypothesis prohibits work extraction from energy eigenstates by means of finite-time unitary operations. This no-go property implies that Planck's principle, a form of the second law of thermodynamics, holds even for pure quantum states. Our result bridges two independently studied concepts of quantum thermodynamics, the second law and thermalization, via intrasystem correlations in many-body systems as a resource for work extraction.

6 pages, 1 figure (Supplemental Material: 6 pages); typos corrected

References in corpus (20)

• Thermalization and its mechanism for generic isolated quantum systems
• Second Law of Thermodynamics with Discrete Quantum Feedback Control
• Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
• Ultracold atoms out of equilibrium
• Proof of the Ergodic Theorem and the H-Theorem in Quantum Mechanics
• Passivity and practical work extraction using Gaussian operations
• Upper bounds on entangling rates of bipartite Hamiltonians
• Strong Local Passivity in Finite Quantum Systems
• Work extraction from unknown quantum sources
• Bounds in Nonequilibrium Quantum Dynamics
• Direct observation of hydrodynamization and local prethermalization
• Bound on Ergotropic Gap for Bipartite Separable States
• Ergotropy from quantum and classical correlations
• Extraction of ergotropy: free energy bound and application to open cycle engines
• Optimal local work extraction from bipartite quantum systems in the presence of Hamiltonian couplings
• Weak universality, quantum many-body scars and anomalous infinite-temperature autocorrelations in a one-dimensional spin model with duality
• Effective light cone and digital quantum simulation of interacting bosons
• Exact Thermal Eigenstates of Nonintegrable Spin Chains at Infinite Temperature
• Characterizing symmetry-protected thermal equilibrium by work extraction
• Quantum Ergotropy and Quantum Feedback Control

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• Spectral Bounds on Entropy and Ergotropy via Statistical Effective Temperature in Classical Polarization and Quantum Thermal States
• Ergotropy in Quantum Batteries
• Typical Positivity of Nonequilibrium Entropy Production for Pure States
• Cluster Ising quantum batteries can mimic super-extensive charging power
• Optimal Work Extraction from Finite-Time Closed Quantum Dynamics