Quench action approach for releasing the Néel state into the spin-1/2 XXZ chain

DOI10.1088/1742-5468/2014/12/P12009zbMath1456.82233arXiv1408.5075MaRDI QIDQ3301835

B. Wouters, Jacopo de Nardis, Michael Brockmann, Rogier Vlijm, J.-S. Caux, Davide Fioretto

Publication date: 11 August 2020

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

Full work available at URL: https://arxiv.org/abs/1408.5075

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

• Unnamed Item
• Unnamed Item
• Conformal weights of RSOS lattice models and their fusion hierarchies
• Calculation of norms of Bethe wave functions
• Quasilocal conservation laws in \textit{XXZ} spin-1/2 chains: open, periodic and twisted boundary conditions
• Elliptic functions and applications
• QUANTUM INTEGRALS OF MOTION FOR THE HEISENBERG SPIN CHAIN
• Generalized TBA and generalized Gibbs
• Recursive formulas for the overlaps between Bethe states and product states in XXZ Heisenberg chains
• Néel-XXZ state overlaps: odd particle numbers and Lieb–Liniger scaling limit
• Surface free energy of the open XXZ spin-1/2 chain
• The dynamical free energy and the Loschmidt echo for a class of quantum quenches in the Heisenberg spin chain
• The generalized Gibbs ensemble for Heisenberg spin chains
• Stationary behaviour of observables after a quantum quench in the spin-1/2 Heisenberg XXZ chain
• Quantum quench in the sine-Gordon model
• Quantum quenches and generalized Gibbs ensemble in a Bethe Ansatz solvable lattice model of interacting bosons
• Analytical expression for a post-quench time evolution of the one-body density matrix of one-dimensional hard-core bosons
• Overlaps ofq-raised Néel states with XXZ Bethe states and their relation to the Lieb–Liniger Bose gas
• Validity of the GGE for quantum quenches from interacting to noninteracting models
• Failure of the generalized eigenstate thermalization hypothesis in integrable models with multiple particle species
• Exactly conserved quasilocal operators for the XXZ spin chain
• Bethe ansatz approach to quench dynamics in the Richardson model
• On the physical part of the factorized correlation functions of the XXZ chain
• Spinons in magnetic chains of arbitrary spins at finite temperatures
• A quantum central limit theorem for non-equilibrium systems: exact local relaxation of correlated states
• Quantum quench dynamics of the sine-Gordon model in some solvable limits
• Quantum quenches in integrable field theories
• Integral representations for correlation functions of theXXZchain at finite temperature
• Determinant formula for the six-vertex model with reflecting end
• Thermodynamics of One-Dimensional Solvable Models
• The finite temperature density matrix and two-point correlations in the antiferromagneticXXZchain
• Quench dynamics of the Tomonaga–Luttinger model with momentum-dependent interaction
• A Gaudin-like determinant for overlaps of Néel and XXZ Bethe states
• Quantum quenches from excited states in the Ising chain
• Deformed strings in the Heisenberg model

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