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Weak quantum chaos
ID
Kukuljan, Ivan
(
Author
),
ID
Grozdanov, Sašo
(
Author
),
ID
Prosen, Tomaž
(
Author
)
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MD5: B21BBB45655DEA551CB664D834183667
PID:
20.500.12556/rul/ef3b3a32-462d-4439-9545-d13c0a2ab9e7
URL - Source URL, Visit
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.96.060301
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Abstract
Out-of-time-ordered correlation functions (OTOCs) are presently being extensively debated as quantifiers of dynamical chaos in interacting quantum many-body systems. We argue that in quantum spin and fermionic systems, where all local operators are bounded, an OTOC of local observables is bounded as well and thus its exponential growth is merely transient. As a better measure of quantum chaos in such systems, we propose, and study, the density of the OTOC of extensive sums of local observables, which can exhibit indefinite growth in the thermodynamic limit. We demonstrate this for the kicked quantum Ising model by using large-scale numerical results and an analytic solution in the integrable regime. In a generic case, we observe the growth of the OTOC density to be linear in time. We prove that this density in general, locally interacting, nonintegrable quantum spin and fermionic dynamical systems exhibits growth that is at most polynomial in time—a phenomenon, which we term weak quantum chaos. In the special case of the model being integrable and the observables under consideration quadratic, the OTOC density saturates to a plateau.
Language:
English
Keywords:
quantum mechanics
,
quantum chaos
Typology:
1.01 - Original Scientific Article
Organization:
FMF - Faculty of Mathematics and Physics
Publication status:
Published
Publication version:
Author Accepted Manuscript
Publisher:
American Physical Society
Year:
2017
Number of pages:
Str. 060301-1-060301-6
Numbering:
Vol. 96, iss. 6
PID:
20.500.12556/RUL-100088
UDC:
530.145
ISSN on article:
2469-9950
DOI:
10.1103/PhysRevB.96.060301
COBISS.SI-ID:
3179364
Copyright:
American Physical Society
Publication date in RUL:
05.03.2018
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2220
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856
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Record is a part of a journal
Title:
Physical review
Publisher:
American Physical Society
ISSN:
2469-9950
COBISS.SI-ID:
2997348
Secondary language
Language:
Slovenian
Keywords:
kvantna mehanika
,
teorija kaosa
Projects
Funder:
EC - European Commission
Funding programme:
H2020
Project number:
694544
Name:
Open many-body non-equilibrium systems
Acronym:
OMNES
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