Dynamical Typicality Approach to Eigenstate Thermalization

Reimann P (2018)
PHYSICAL REVIEW LETTERS 120(23): 6.

Zeitschriftenaufsatz | Veröffentlicht| Englisch
 
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Abstract / Bemerkung
We consider the set of all initial states within a microcanonical energy shell of an isolated many-body quantum system, which exhibit an arbitrary but fixed nonequilibrium expectation value for some given observable A. On the condition that this set is not too small, it is shown by means of a dynamical typicality approach that most such initial states exhibit thermalization if and only if A satisfies the so-called weak eigenstate thermalization hypothesis (wETH). Here, thermalization means that the expectation value of A spends most of its time close to the microcanonical value after initial transients have died out. The wETH means that, within the energy shell, most eigenstates of the pertinent system Hamiltonian exhibit very similar expectation values of A.
Erscheinungsjahr
2018
Zeitschriftentitel
PHYSICAL REVIEW LETTERS
Band
120
Ausgabe
23
Art.-Nr.
6
ISSN
0031-9007
eISSN
1079-7114
Page URI
https://pub.uni-bielefeld.de/record/2920946

Zitieren

Reimann P. Dynamical Typicality Approach to Eigenstate Thermalization. PHYSICAL REVIEW LETTERS. 2018;120(23): 6.
Reimann, P. (2018). Dynamical Typicality Approach to Eigenstate Thermalization. PHYSICAL REVIEW LETTERS, 120(23), 6. doi:10.1103/PhysRevLett.120.230601
Reimann, P. (2018). Dynamical Typicality Approach to Eigenstate Thermalization. PHYSICAL REVIEW LETTERS 120:6.
Reimann, P., 2018. Dynamical Typicality Approach to Eigenstate Thermalization. PHYSICAL REVIEW LETTERS, 120(23): 6.
P. Reimann, “Dynamical Typicality Approach to Eigenstate Thermalization”, PHYSICAL REVIEW LETTERS, vol. 120, 2018, : 6.
Reimann, P.: Dynamical Typicality Approach to Eigenstate Thermalization. PHYSICAL REVIEW LETTERS. 120, : 6 (2018).
Reimann, Peter. “Dynamical Typicality Approach to Eigenstate Thermalization”. PHYSICAL REVIEW LETTERS 120.23 (2018): 6.

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