Eric Bertin (Avtor), Matthieu Vanicat (Avtor)

Povzetek

Many one-dimensional lattice particle models with open boundaries, like the paradigmatic asymmetric simple exclusion process (ASEP), have their stationary states represented in the form of a matrix product, with matrices that do not explicitly depend on the lattice site. In contrast, the stationary state of the open 1D zero-range process (ZRP) takes an inhomogeneous factorized form, with site-dependent probability weights. We show that in spite of the absence of correlations, the stationary state of the open ZRP can also be represented in a matrix product form, where the matrices are site-independent, non-commuting and determined from algebraic relations resulting from the master equation. We recover the known distribution of the open ZRP in two different ways: first, using an explicit representation of the matrices and boundary vectors; second, from the sole knowledge of the algebraic relations satisfied by these matrices and vectors. Finally, an interpretation of the relation between the matrix product form and the inhomogeneous factorized form is proposed within the framework of hidden Markov chains.

Ključne besede

kvantna mehanika;quantum mechanics;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FMF - Fakulteta za matematiko in fiziko
UDK: 530.145
COBISS: 3265124 Povezava se bo odprla v novem oknu
ISSN: 1751-8113
Št. ogledov: 725
Št. prenosov: 419
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Sekundarni jezik: Slovenski jezik
Sekundarne ključne besede: kvantna mehanika;
Konec prepovedi (OpenAIRE): 2019-05-21
Strani: str. 1-11
Letnik: ǂVol. ǂ51
Zvezek: ǂissue ǂ24
Čas izdaje: May 2018
DOI: 10.1088/1751-8121/aac196
ID: 10983611