Integrable Floquet dynamics, generalized exclusion processes and ``fused matrix ansatz

DOI10.1016/j.nuclphysb.2018.02.007zbMath1382.82027arXiv1711.08884OpenAlexW2769536501MaRDI QIDQ1705627

Matthieu Vanicat

Publication date: 16 March 2018

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.08884

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23) Yang-Baxter equations (16T25)

Related Items (2)

Exactly solvable deterministic lattice model of crossover between ballistic and diffusive transport ⋮ Time-dependent matrix product ansatz for interacting reversible dynamics

Cites Work

• Unnamed Item
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• Stochastic \(R\) matrix for \(\operatorname{U}_q(A_n^{(1)})\)
• From duality to determinants for \(q\)-TASEP and ASEP
• Current moments of 1D ASEP by duality
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Yang-Baxter equation and representation theory. I
• Matrix-product states for a one-dimensional lattice gas with parallel dynamics
• Duality relations for asymmetric exclusion processes
• Exact solution of a cellular automaton for traffic
• Hirota equation as an example of an integrable symplectic map
• An algebraic construction of duality functions for the stochastic \(\mathcal U_q(A_n^{(1)})\) vertex model and its degenerations
• The asymmetric exclusion process: Comparison of update procedures
• Duality and hidden symmetries in interacting particle systems
• Exact solution to integrable open multi-species SSEP and macroscopic fluctuation theory
• Exact matrix-product states for parallel dynamics: open boundaries and excess mass on the ring
• Integrable approach to simple exclusion processes with boundaries. Review and progress
• Matrix product formula for Macdonald polynomials
• Inhomogeneous discrete-time exclusion processes
• The asymmetric exclusion model with sequential update
• Matrix product ground states for exclusion processes with parallel dynamics
• Stationary State of Integrable Systems in Matrix Product Form
• Exact matrix product decay modes of a boundary driven cellular automaton
• Bulk diffusion in a kinetically constrained lattice gas
• Exact solution of a 1D asymmetric exclusion model using a matrix formulation
• Boundary conditions for integrable quantum systems
• Integrable Stochastic Dualities and the Deformed Knizhnik–Zamolodchikov Equation
• Non-equilibrium steady states: fluctuations and large deviations of the density and of the current
• A complete Bethe ansatz solution for the open spin-s XXZchain with general integrable boundary terms
• Family of commuting operators for the totally asymmetric exclusion process
• Nonequilibrium steady states of matrix-product form: a solver's guide

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