Eigenstate Thermalization Hypothesis and Quantum Jarzynski Relation for Pure Initial States

Abstract

Since the first suggestion of the Jarzynski equality many derivations of this equality have been presented in both, the classical and the quantum context. While the approaches and settings greatly differ from one to another, they all appear to rely on the initial state being a thermal Gibbs state. Here, we present an investigation of work distributions in driven isolated quantum systems, starting off from pure states that are close to energy eigenstates of the initial Hamiltonian. We find that, for the nonintegrable system in quest, the Jarzynski equality is fulfilled to good accuracy.

9 pages, 7 figures

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Cited by in corpus (17)

• First and Second Law of Quantum Thermodynamics: A Consistent Derivation Based on a Microscopic Definition of Entropy
• Fluctuation Theorem for Many-Body Pure Quantum States
• Quantum thermodynamics in strong coupling: heat transport and refrigeration
• Why are macroscopic experiments reproducible? Imitating the behavior of an ensemble by single pure states
• Real-Time Dynamics of Typical and Untypical States in Non-Integrable Systems
• Quantum coherence and criticality in irreversible work
• Work Extraction from a Single Energy Eigenstate
• Stiffness of Probability Distributions of Work and Jarzynski Relation for Non-Gibbsian Initial States
• Eigenstate Fluctuation Theorem in the Short and Long Time Regimes
• Quantum master equation from the eigenstate thermalization hypothesis
• The role of quantum work statistics in many-body physics
• Comparison between quantum jumps and master equation in the presence of a finite environment
• Calorimetric measurement of work for a driven harmonic oscillator
• The second law of thermodynamics from concavity of energy eigenvalues
• Modified Jarzynski equality in a microcanonical ensemble
• Typical Positivity of Nonequilibrium Entropy Production for Pure States
• The second law of thermodynamics from concave energy in classical mechanics