izpis_h1_title_alt

Weak quantum chaos
Kukuljan, Ivan (Author), Grozdanov, Sašo (Author), Prosen, Tomaž (Author)

.pdfPDF - Presentation file, Download (1009,95 KB)
URLURL - Source URL, Visit https://journals.aps.org/prb/abstract/10.1103/PhysRevB.96.060301 This link opens in a new window

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
Tipology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Year:2017
Publisher:American Physical Society
Number of pages:str. 060301-1-060301-6
Numbering:Vol. 96, iss. 6
UDC:530.145
ISSN on article:2469-9950
DOI:10.1103/PhysRevB.96.060301 Link is opened in a new window
COBISS.SI-ID:3179364 Link is opened in a new window
Copyright:American Physical Society
Views:716
Downloads:360
Metadata:XML RDF-CHPDL DC-XML DC-RDF
 
Average score:(0 votes)
Your score:Voting is allowed only to logged in users.
:
Share:AddThis
AddThis uses cookies that require your consent. Edit consent...

Record is a part of a journal

Title:Physical review
Publisher:American Physical Society
ISSN:2469-9950
COBISS.SI-ID:2997348 This link opens in a new window

Document is financed by a project

Funder:EC - European Commission
Funding Programme:H2020
Project no.:694544
Name:Open many-body non-equilibrium systems
Acronym:OMNES

Secondary language

Language:Slovenian
Keywords:kvantna mehanika, teorija kaosa

Similar documents

Similar works from RUL:
Similar works from other Slovenian collections:

Comments

Leave comment

You have to log in to leave a comment.

Comments (0)
0 - 0 / 0
 
There are no comments!

Back