Matthieu Vanicat (Avtor), Lenart Zadnik (Avtor), Tomaž Prosen (Avtor)

Povzetek

We discuss a general procedure to construct an integrable real–time trotterization of interacting lattice models. As an illustrative example we consider a spin-1/2 chain, with continuous time dynamics described by the isotropic (XXX) Heisenberg Hamiltonian. For periodic boundary conditions local conservation laws are derived from an inhomogeneous transfer matrix and a boost operator is constructed. In the continuous time limit these local charges reduce to the known integrals of motion of the Heisenberg chain. In a simple Kraus representation we also examine the nonequilibrium setting, where our integrable cellular automaton is driven by stochastic processes at the boundaries. We show explicitly, how an exact nonequilibrium steady state density matrix can be written in terms of a staggered matrix product ansatz. This simple trotterization scheme, in particular in the open system framework, could prove to be a useful tool for experimental simulations of the lattice models in terms of trapped ion and atom optics setups.

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: 3289700 Povezava se bo odprla v novem oknu
ISSN: 0031-9007
Št. ogledov: 780
Št. prenosov: 478
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;
Strani: str. 030606-1-030606-6
Letnik: ǂVol. ǂ121
Zvezek: ǂiss. ǂ3
Čas izdaje: 2018
DOI: 10.1103/PhysRevLett.121.030606
ID: 11009746