Generalization of von Neumann's Approach to Thermalization
Reimann P (2015)
Physical Review Letters 115(1): 10403.
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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.
Erscheinungsjahr
2015
Zeitschriftentitel
Physical Review Letters
Band
115
Ausgabe
1
Art.-Nr.
10403
ISSN
0031-9007
Page URI
https://pub.uni-bielefeld.de/record/2764323
Zitieren
Reimann P. Generalization of von Neumann's Approach to Thermalization. Physical Review Letters. 2015;115(1): 10403.
Reimann, P. (2015). Generalization of von Neumann's Approach to Thermalization. Physical Review Letters, 115(1), 10403. doi:10.1103/PhysRevLett.115.010403
Reimann, Peter. 2015. “Generalization of von Neumann's Approach to Thermalization”. Physical Review Letters 115 (1): 10403.
Reimann, P. (2015). Generalization of von Neumann's Approach to Thermalization. Physical Review Letters 115:10403.
Reimann, P., 2015. Generalization of von Neumann's Approach to Thermalization. Physical Review Letters, 115(1): 10403.
P. Reimann, “Generalization of von Neumann's Approach to Thermalization”, Physical Review Letters, vol. 115, 2015, : 10403.
Reimann, P.: Generalization of von Neumann's Approach to Thermalization. Physical Review Letters. 115, : 10403 (2015).
Reimann, Peter. “Generalization of von Neumann's Approach to Thermalization”. Physical Review Letters 115.1 (2015): 10403.
Daten bereitgestellt von European Bioinformatics Institute (EBI)
3 Zitationen in Europe PMC
Daten bereitgestellt von Europe PubMed Central.
Dynamical Typicality Approach to Eigenstate Thermalization.
Reimann P., Phys Rev Lett 120(23), 2018
PMID: 29932722
Reimann P., Phys Rev Lett 120(23), 2018
PMID: 29932722
Saturation of entropy production in quantum many-body systems.
Kaneko K, Iyoda E, Sagawa T., Phys Rev E 96(6-1), 2017
PMID: 29347335
Kaneko K, Iyoda E, Sagawa T., Phys Rev E 96(6-1), 2017
PMID: 29347335
Typical fast thermalization processes in closed many-body systems.
Reimann P., Nat Commun 7(), 2016
PMID: 26926224
Reimann P., Nat Commun 7(), 2016
PMID: 26926224
References
Daten bereitgestellt von Europe PubMed Central.
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