Typicality for Generalized Microcanonical Ensembles

By Peter Reimann. 2007

198 citations recorded by the source corpus.

For a macroscopic, isolated quantum system in an unknown pure state, the expectation value of any given observable is shown to hardly deviate from the ensemble average with extremely high probability under generic equilibrium and nonequilibrium conditions. Special care is devoted to the uncontrollable microscopic details of the system state. For a subsystem weakly coupled to a large heat bath, the canonical ensemble is recovered under much more general and realistic assumptions than those implicit in the usual microcanonical description of the composite system at equilibrium.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4a6eda75f0dff843e9e4cb0d458c548a8f1c4ccb

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In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Thermodynamics (2021, unknown): “[50], it was investigated thoroughly which minimum requirements the randomly chosen wave function components of the state Ψ( β = 0) need to fulfill for the state to be a TPQS resulting in the following two constraints: • The components c n are uncorrelated.”
Long-time behavior of macroscopic quantum systems (2010, background): “, the fact that, for most wave functions from a narrow energy shell of a large system, the reduced density matrix of a small subsystem is approximately canonical) [19,24,52,54].”
Ergodicity Breaking Arising from Hilbert Space Fragmentation in Dipole-Conserving Hamiltonians (2019, methodology): “[76] Peter Reimann, “Typicality for generalized microcanon-”
Statistical localization: From strong fragmentation to strong edge modes (2019, background): “[70] Peter Reimann, “Typicality for generalized microcanonical ensembles,” Phys.”