Construction of the steady state density matrix and quasilocal charges for the spin-1/2 XXZ chain with boundary magnetic fields

DOI10.1088/1751-8121/aa82dbzbMath1377.82020arXiv1705.09105OpenAlexW3101608272MaRDI QIDQ4588417

Tomaž Prosen, Chihiro Matsui

Publication date: 26 October 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09105

zbMATH Keywords

integrable XXZ modelboundary driven quantum chainsmatrix product solutionsquasilocal charges

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) Groups and algebras in quantum theory and relations with integrable systems (81R12) Statistical mechanics of magnetic materials (82D40)

Cites Work

• Unnamed Item
• Unnamed Item
• Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model
• Quasilocal conservation laws in \textit{XXZ} spin-1/2 chains: open, periodic and twisted boundary conditions
• On the generators of quantum dynamical semigroups
• Correlation functions of the \(XXZ\) Heisenberg spin-\({1\over 2}\) chain in a magnetic field
• Thermodyamic bounds on Drude weights in terms of almost-conserved quantities
• Generalized Gibbs ensemble in integrable lattice models
• Matrix product solutions of boundary driven quantum chains
• Exact solution of a 1D asymmetric exclusion model using a matrix formulation
• Boundary conditions for integrable quantum systems
• Completely positive dynamical semigroups of N-level systems

This page was built for publication: Construction of the steady state density matrix and quasilocal charges for the spin-1/2 XXZ chain with boundary magnetic fields