Eigenstates of triangularisable open XXX spin chains and closed-form solutions for the steady state of the open SSEP

DOI10.1088/1742-5468/ab7af3zbMath1457.82067arXiv1910.13163OpenAlexW2982690195MaRDI QIDQ5135006

Rouven Frassek

Publication date: 19 November 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.13163

zbMATH Keywords

stationary statesstochastic particle dynamicsquantum integrability (Bethe ansatz)integrable spin chains and vertex models

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (5)

Exact solution of an integrable non-equilibrium particle system ⋮ Integrable heat conduction model ⋮ The steady state of the boundary-driven multiparticle asymmetric diffusion model ⋮ Consistent particle systems and duality ⋮ Algebraic Bethe ansatz for Q-operators of the open XXX Heisenberg chain with arbitrary spin

Cites Work

• Unnamed Item
• Unnamed Item
• Algebraic Bethe ansatz for open XXX model with triangular boundary matrices
• Generalized coordinate Bethe ansatz for non-diagonal boundaries
• Bethe ansatz for the \(XXX\)-\(S\) chain with non-diagonal open boundaries
• Entropy of open lattice systems
• Algebraic Bethe ansatz for the XXX chain with triangular boundaries and Gaudin model
• Modified algebraic Bethe ansatz for XXZ chain on the segment - I: Triangular cases
• Large deviation of the density profile in the steady state of the open symmetric simple exclusion process.
• Non-compact quantum spin chains as integrable stochastic particle processes
• Off-diagonal Bethe ansatz solution of the XXX spin chain with arbitrary boundary conditions
• Heisenberg XXX model with general boundaries: eigenvectors from algebraic Bethe ansatz
• Exact solution to integrable open multi-species SSEP and macroscopic fluctuation theory
• An inhomogeneousT-Qequation for the open XXX chain with general boundary terms: completeness and arbitrary spin
• Algebraic Bethe ansatz for the six vertex model with upper triangularK-matrices
• Matrix product solution to a 2-species TASEP with open integrable boundaries
• Integrable approach to simple exclusion processes with boundaries. Review and progress
• Retrieve the Bethe states of quantum integrable models solved via the off-diagonal Bethe Ansatz
• The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics
• Exact solution of a 1D asymmetric exclusion model using a matrix formulation
• Boundary conditions for integrable quantum systems
• Asymmetric simple exclusion process with open boundaries and Askey–Wilson polynomials
• Matrix product solution to multi-species ASEP with open boundaries
• The non-compact XXZ spin chain as stochastic particle process
• Exactly Solvable Models for Many-Body Systems Far from Equilibrium
• On separation of variables for reflection algebras
• Non-equilibrium steady states: fluctuations and large deviations of the density and of the current
• The open XXX spin chain in the SoV framework: scalar product of separate states
• Nonequilibrium steady states of matrix-product form: a solver's guide

This page was built for publication: Eigenstates of triangularisable open XXX spin chains and closed-form solutions for the steady state of the open SSEP