Generalization of von Neumann's Approach to Thermalization

Reimann P (2015)
Physical Review Letters 115(1): 010403.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
Abstract / Bemerkung
Thermalization of isolated many-body systems is demonstrated by generalizing an approach originally due to von Neumann: For arbitrary initial states with a macroscopically well-defined energy, quantum mechanical expectation values become indistinguishable from the corresponding microcanonical expectation values for the overwhelming majority of all sufficiently late times. As in von Neumann's work, the eigenvectors of the Hamiltonian and of the considered observable are required to not exhibit any specially tailored (untypical) orientation relative to each other. But all of von Neumann's further assumptions about the admitted observables are abandoned.
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Zeitschriftentitel
Physical Review Letters
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115
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1
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010403
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Reimann P. Generalization of von Neumann's Approach to Thermalization. Physical Review Letters. 2015;115(1):010403.
Reimann, P. (2015). Generalization of von Neumann's Approach to Thermalization. Physical Review Letters, 115(1), 010403. doi:10.1103/PhysRevLett.115.010403
Reimann, P. (2015). Generalization of von Neumann's Approach to Thermalization. Physical Review Letters 115, 010403.
Reimann, P., 2015. Generalization of von Neumann's Approach to Thermalization. Physical Review Letters, 115(1), p 010403.
P. Reimann, “Generalization of von Neumann's Approach to Thermalization”, Physical Review Letters, vol. 115, 2015, pp. 010403.
Reimann, P.: Generalization of von Neumann's Approach to Thermalization. Physical Review Letters. 115, 010403 (2015).
Reimann, Peter. “Generalization of von Neumann's Approach to Thermalization”. Physical Review Letters 115.1 (2015): 010403.

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Saturation of entropy production in quantum many-body systems.
Kaneko K, Iyoda E, Sagawa T., Phys Rev E 96(6-1), 2017
PMID: 29347335

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