On the XY-model on two-sided infinite chain
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Publication:796798
DOI10.2977/PRIMS/1195181608zbMath0544.46040OpenAlexW2073911581MaRDI QIDQ796798
Publication date: 1984
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1195181608
XY-modelspin lattice systemscanonical anticommutation relationsasymptotic abelianReturn to equilibrium
Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10)
Related Items (30)
On a \(C^ *\)-algebra approach to phase transition in the two-dimensional Ising model. II ⋮ Operator algebras in statistical mechanics and noncommutative probability theory ⋮ Return to equilibrium in the XY model ⋮ One-dimensional XY model: ergodic properties and hydrodynamic limit ⋮ Master symmetries of the XY model ⋮ Non-zero entropy density in the XY chain out of equilibrium ⋮ VARIATIONAL PRINCIPLE FOR NON-EQUILIBRIUM STEADY STATES OF THE XX MODEL ⋮ Out of equilibrium correlations in the XY chain ⋮ Multiple phases and return to equilibrium ⋮ Entropic fluctuations in \(XY\) chains and reflectionless Jacobi matrices ⋮ On Araki’s extension of the Jordan–Wigner transformation ⋮ Super-exponential distinguishability of correlated quantum states ⋮ Exact solution of Markovian master equations for quadratic Fermi systems: thermal baths, open XY spin chains and non-equilibrium phase transition ⋮ ON HAAG DUALITY FOR PURE STATES OF QUANTUM SPIN CHAINS ⋮ PASSIVITY OF GROUND STATES OF QUANTUM SYSTEMS ⋮ Local perturbations of free dynamics of quantum systems ⋮ Exponential spatial decay of spin-spin correlations in translation invariant quasifree states ⋮ Thermodynamic Bethe ansatz for non-equilibrium steady states: exact energy current and fluctuations in integrable QFT ⋮ Approach to equilibrium for a class of random quantum models of infinite range ⋮ Broken translation invariance in quasifree fermionic correlations out of equilibrium ⋮ Time asymptotics and entanglement generation of Clifford quantum cellular automata ⋮ BOSONIC CENTRAL LIMIT THEOREM FOR THE ONE-DIMENSIONAL XY MODEL ⋮ Heat flux in general quasifree fermionic right mover/left mover systems ⋮ FROM THE MICROSCOPIC TO THE VAN HOVE REGIME IN THE XY CHAIN OUT OF EQUILIBRIUM ⋮ ENTANGLEMENT, HAAG-DUALITY AND TYPE PROPERTIES OF INFINITE QUANTUM SPIN CHAINS ⋮ On a \(C^*\)-algebra approach to phase transition in the two-dimensional Ising model ⋮ On the sharpness of the zero-entropy-density conjecture ⋮ Nonequilibrium stationary states of noninteracting electrons in a one-dimensional lattice ⋮ BOUNDEDNESS OF ENTANGLEMENT ENTROPY AND SPLIT PROPERTY OF QUANTUM SPIN CHAINS ⋮ Ground states of the XY-model
Cites Work
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- On the dynamics and ergodic properties of the XY model
- On uniqueness of KmMS states of one-dimensional quantum lattice systems
- Dissipations and derivations
- On uniqueness of KMS states of one-dimensional quantum lattice systems
- Two soluble models of an antiferromagnetic chain
- On quasifree states of CAR and Bogoliubov automorphisms
- Relaxation of Local Thermal Deviations from Equilibrium
- Return to equilibrium
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