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Št. zadetkov: 7
Matrix product representation of the stationary state of the open zero range process
Eric Bertin, Matthieu Vanicat
Izvirni znanstveni članek
Oznake: kvantna mehanika;quantum mechanics;
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 ...
Leto: 2018 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Matrix product solution to multi-species ASEP with open boundaries
C. Finn, E. Ragoucy, Matthieu Vanicat
Izvirni znanstveni članek
Oznake: statistična mehanika;statistical mechanics;
We study a class of multi-species ASEP with open boundaries. The boundaries are chosen in such a way that all species of particles interact non-trivially with the boundaries, and are present in the stationary state. We give the exact expression of the stationary state in a matrix product form, and ...
Leto: 2018 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Integrable Trotterization: local conservation laws and boundary driving
Matthieu Vanicat, Lenart Zadnik, Tomaž Prosen
Izvirni znanstveni članek
Oznake: kvantna mehanika;quantum mechanics;
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 con ...
Leto: 2018 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Time-dependent matrix product ansatz for interacting reversible dynamics
Katja Klobas, Marko Medenjak, Tomaž Prosen, Matthieu Vanicat
Izvirni znanstveni članek
Oznake:
We present an explicit time-dependent matrix product ansatz (tMPA), which describes the time-evolution of any local observable in an interacting and deterministic lattice gas, specifically for the rule 54 reversible cellular automaton of Bobenko et al. (Commun Math Phys 158(1):127, 1993. https://doi ...
Leto: 2019 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Exact large deviation statistics and trajectory phase transition of a deterministic boundary driven cellular automaton
Berislav Buča, Juan P. Garrahan, Tomaž Prosen, Matthieu Vanicat
Izvirni znanstveni članek
Oznake: neravnovesna statistična mehanika;celični avtomati;nonequilibrium statistical physics;cellular automata;
We study the statistical properties of the long-time dynamics of the rule 54 reversible cellular automaton (CA), driven stochastically at its boundaries. This CA can be considered as a discrete-time and deterministic version of the Fredrickson-Andersen kinetically constrained model (KCM). By means o ...
Leto: 2019 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Two-species hardcore reversible cellular automaton: matrix ansatz for dynamics and nonequilibrium stationary state
Marko Medenjak, Vladislav Popkov, Tomaž Prosen, E. Ragoucy, Matthieu Vanicat
Izvirni znanstveni članek
Oznake:
In this paper we study the statistical properties of a reversible cellular automaton in two out-of-equilibrium settings. In the first part we consider two instances of the initial value problem, corresponding to the inhomogeneous quench and the local quench. Our main result is an exact matrix produc ...
Leto: 2019 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Matrix product state of multi-time correlations
Katja Klobas, Matthieu Vanicat, Juan P. Garrahan, Tomaž Prosen
Izvirni znanstveni članek
Oznake:
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 d ...
Leto: 2020 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 7
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