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Does Quantum Chaos Explain Quantum Statistical Mechanics?

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arxiv cond-mat/9410046 v2 pith:UDQNXRLP submitted 1994-10-14 cond-mat chao-dynhep-phhep-thnlin.CD

Mark Srednicki This is my paper · ORCID
classification cond-matchao-dynhep-phhep-thnlin.CD
keywords quantumstatesysteminitialranglethermalvalueaccessible
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abstract

If a many-body quantum system approaches thermal equilibrium from a generic initial state, then the expectation value $\langle\psi(t)|A_i|\psi(t)\rangle$, where $|\psi(t)\rangle$ is the system's state vector and $A_i$ is an experimentally accessible observable, should approach a constant value which is independent of the initial state, and equal to a thermal average of $A_i$ at an appropriate temperature. We show that this is the case for all simple observables whenever the system is classically chaotic.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Violating the All-or-Nothing Picture of Local Charges in Non-Hermitian Bosonic Chains

    cond-mat.stat-mech 2026-03 unverdicted novelty 7.0 of 10

    Non-Hermitian bosonic chains with symmetric hopping can host k-local charges for selected k only, providing counterexamples to all-or-nothing integrability and showing the Grabowski-Mathieu 3-local test is not universal.

  2. Grand-Canonical Typicality

    quant-ph 2026-01 unverdicted novelty 5.0 of 10

    The paper establishes that typical states in a grand-canonical micro-canonical Hilbert subspace produce the grand-canonical density matrix and a GAP/Scrooge wave-function distribution for the subsystem.

  3. Wigner Cat Phases: A finely tunable system for exploring the transition to quantum chaos

    quant-ph 2025-12 reject novelty 3.0 of 10

    Repeatedly padding eigenvalues from mixed-size GOE matrices produces heavy-tailed level statistics that the paper labels 'Wigner Cat Phases.'

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