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Weak quantum chaos
ID
Kukuljan, Ivan
(
Avtor
),
ID
Grozdanov, Sašo
(
Avtor
),
ID
Prosen, Tomaž
(
Avtor
)
PDF - Predstavitvena datoteka,
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(1009,95 KB)
MD5: B21BBB45655DEA551CB664D834183667
PID:
20.500.12556/rul/ef3b3a32-462d-4439-9545-d13c0a2ab9e7
URL - Izvorni URL, za dostop obiščite
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.96.060301
Galerija slik
Izvleček
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.
Jezik:
Angleški jezik
Ključne besede:
quantum mechanics
,
quantum chaos
Tipologija:
1.01 - Izvirni znanstveni članek
Organizacija:
FMF - Fakulteta za matematiko in fiziko
Status publikacije:
Objavljeno
Različica publikacije:
Recenzirani rokopis
Založnik:
American Physical Society
Leto izida:
2017
Št. strani:
Str. 060301-1-060301-6
Številčenje:
Vol. 96, iss. 6
PID:
20.500.12556/RUL-100088
UDK:
530.145
ISSN pri članku:
2469-9950
DOI:
10.1103/PhysRevB.96.060301
COBISS.SI-ID:
3179364
Avtorske pravice:
American Physical Society
Datum objave v RUL:
05.03.2018
Število ogledov:
2169
Število prenosov:
843
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Objavi na:
Gradivo je del revije
Naslov:
Physical review
Založnik:
American Physical Society
ISSN:
2469-9950
COBISS.SI-ID:
2997348
Sekundarni jezik
Jezik:
Slovenski jezik
Ključne besede:
kvantna mehanika
,
teorija kaosa
Projekti
Financer:
EC - European Commission
Program financ.:
H2020
Številka projekta:
694544
Naslov:
Open many-body non-equilibrium systems
Akronim:
OMNES
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