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The foundations of statistical mechanics from entanglement: Individual states vs. averages

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arxiv quant-ph/0511225 v3 pith:DLK7LERH submitted 2005-11-23 quant-ph cond-mat.stat-mech

classification quant-phcond-mat.stat-mech
keywords statessystementanglementenvironmentfoundationsmechanicspurestatistical
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We consider an alternative approach to the foundations of statistical mechanics, in which subjective randomness, ensemble-averaging or time-averaging are not required. Instead, the universe (i.e. the system together with a sufficiently large environment) is in a quantum pure state subject to a global constraint, and thermalisation results from entanglement between system and environment. We formulate and prove a "General Canonical Principle", which states that the system will be thermalised for almost all pure states of the universe, and provide rigorous quantitative bounds using Levy's Lemma.

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Cited by 6 Pith papers

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

  1. Maximum channel entropy principle and microcanonical channels

    quant-ph 2025-08 unverdicted novelty 7.0 of 10

    A maximum-entropy principle for quantum channels yields thermal channels with exponential form, analogous to thermal states.

  2. Holographic multipartite entanglement dynamics in AdS$_3$-Vaidya

    hep-th 2026-08 conditional novelty 6.0 of 10

    During a holographic global quench, multipartite entanglement's spatial range first expands then contracts, with higher-party entanglement relaxing later, while some tripartite signals persist or return to vacuum values.

  3. Revisiting the Page curve and its moments. A combinatorial approach

    quant-ph 2026-06 unverdicted novelty 6.0 of 10

    Derives closed expressions for power moments of entanglement entropy of random states via Schur-Weyl duality and S_N character theory.

  4. The Maximal Entanglement Limit in Statistical and High Energy Physics

    quant-ph 2026-01 unverdicted novelty 6.0 of 10

    Quantum systems reach a Maximal Entanglement Limit where entanglement geometry produces thermal reduced density matrices and probabilistic behavior in statistical and high-energy physics.

  5. Thermalization with partial information

    quant-ph 2025-08 unverdicted novelty 6.0 of 10

    A maximum channel entropy principle, backed by a microcanonical-style derivation, identifies the canonical noisy channel that models thermalization under partial information.

  6. Krylov Complexity in Periodically Driven CFTs and Critical Fermions

    hep-th 2026-05 unverdicted novelty 5.0 of 10

    Arnoldi coefficients approach unity exponentially in heating phases of driven CFTs but oscillate in non-heating phases; lattice realizations show distinct spectral and graph signatures despite similar CFT Krylov growth.

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