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Matrix product state of multi-time correlations
ID Klobas, Katja (Avtor), ID Vanicat, Matthieu (Avtor), ID Garrahan, Juan P. (Avtor), ID Prosen, Tomaž (Avtor)

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Izvleček
For an interacting spatio-temporal lattice system we introduce a formal way of expressing multi-time correlation functions of local observables located at the same spatial point with a time state, i.e. a statistical distribution of configurations observed along a time lattice. Such a time state is defined with respect to a particular equilibrium state that is invariant under space and time translations. The concept is developed within the rule 54 reversible cellular automaton, for which we explicitly construct a matrix product form of the time state, with matrices that act on the three-dimensional auxiliary space. We use the matrix-product state to express equal-space time-dependent density-density correlation function, which, for special maximum-entropy values of equilibrium parameters, agrees with the previous results. Additionally, we obtain an explicit expression for the probabilities of observing all multi-time configurations, which enables us to study distributions of times between consecutive excitations and prove the absence of decoupling of timescales in the rule 54 model.

Jezik:Angleški jezik
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:FMF - Fakulteta za matematiko in fiziko
Leto izida:2020
Status objave pri reviji:Objavljeno
Verzija članka:Postprint, avtorjeva končna recenzirana različica članka, sprejeta v objavo
Št. strani:17 str.
Številčenje:Vol. 53, art. no. 335001
UDK:51-7:53
ISSN pri članku:1751-8113
DOI:10.1088/1751-8121/ab8c62 Povezava se odpre v novem oknu
COBISS.SI-ID:25249283 Povezava se odpre v novem oknu
Datum objave v RUL:17.08.2020
Število ogledov:376
Število prenosov:89
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Gradivo je del revije

Naslov:Journal of physics
Skrajšan naslov:J. phys., A, Math. theor.
Založnik:IOP Publishing
ISSN:1751-8113
COBISS.SI-ID:3692314 Povezava se odpre v novem oknu

Gradivo je financirano iz projekta

Financer:EC - European Commission
Program financ.:H2020
Številka projekta:694544
Naslov:Open Many-body Non-Equilibrium Systems
Akronim:OMNES

Financer:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije (ARRS)
Številka projekta:P1-0402
Naslov:Matematična fizika

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