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

Abstract

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.

Keywords

kvantna mehanika;quantum mechanics;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 530.145
COBISS: 3289700 Link will open in a new window
ISSN: 0031-9007
Views: 780
Downloads: 478
Average score: 0 (0 votes)
Metadata: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Other data

Secondary language: Slovenian
Secondary keywords: kvantna mehanika;
Pages: str. 030606-1-030606-6
Volume: ǂVol. ǂ121
Issue: ǂiss. ǂ3
Chronology: 2018
DOI: 10.1103/PhysRevLett.121.030606
ID: 11009746