Families of quasilocal conservation laws and quantum spin transport.
Tomaž Prosen,Enej Ilievski +1 more
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A general procedure for defining a continuous family of quasilocal operators whose time derivative is supported near the two boundary sites only is outlined, resulting in improved rigorous estimates for the high temperature spin Drude weight.Abstract:
For fundamental integrable quantum chains with deformed symmetries we outline a general procedure for defining a continuous family of quasilocal operators whose time derivative is supported near the two boundary sites only. The program is implemented for a spin 1/2 XXZ chain, resulting in improved rigorous estimates for the high temperature spin Drude weight.read more
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Quantum Inverse Scattering Method and Correlation Functions
TL;DR: One-dimensional Bose-gas One-dimensional Heisenberg magnet Massive Thirring model Classical r-matrix Fundamentals of inverse scattering method Algebraic Bethe ansatz Quantum field theory integral models on a lattice Theory of scalar products Form factors Mean value of operator Q Assymptotics of correlation functions Temperature correlation functions Appendices References as discussed by the authors
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Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems.
Christian Gogolin,Jens Eisert +1 more
TL;DR: This work reviews selected advances in the theoretical understanding of complex quantum many-body systems with regard to emergent notions of quantum statistical mechanics and elucidate the role played by key concepts, such as Lieb-Robinson bounds, entanglement growth, typicality arguments, quantum maximum entropy principles and the generalised Gibbs ensembles.
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Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems.
Christian Gogolin,Jens Eisert +1 more
TL;DR: In this article, the authors review selected advances in the theoretical understanding of complex quantum many-body systems with regard to emergent notions of quantum statistical mechanics, such as equilibration and thermalisation in pure state statistical mechanics.
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Quench dynamics and relaxation in isolated integrable quantum spin chains
TL;DR: In this paper, the dynamics after quantum quenches in integrable quantum spin chains are reviewed, and a pedagogical introduction to relaxation in isolated quantum systems is given, and the description of the steady state by Gibbs ensembles is discussed.
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Quasilocal charges in integrable lattice systems
TL;DR: In this article, the concept of quasilocal conserved quantities has been studied in integrable quantum lattice systems, and two systematic procedures to rigorously construct families of conserved operators based on quantum transfer matrices are outlined, specializing on anisotropic Heisenberg XXZ spin 1/2 chain.
References
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Quantum physics in one dimension
TL;DR: In this paper, the Sine-Gordon F.1. Peculiarities of d = 1 2. Bosonization 3. Luttinger liquids 4. Refinements 5. Microscopic methods 6. Spin 1/2 chains 7. Interacting fermions on a lattice 8. Coupled fermionic chains 9. Disordered systems 10. Boundaries and isolated impurities 11.
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Thermalization and its mechanism for generic isolated quantum systems
TL;DR: It is demonstrated that a generic isolated quantum many-body system does relax to a state well described by the standard statistical-mechanical prescription, and it is shown that time evolution itself plays a merely auxiliary role in relaxation, and that thermalization instead happens at the level of individual eigenstates, as first proposed by Deutsch and Srednicki.
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Quantum Inverse Scattering Method and Correlation Functions
TL;DR: In this article, a detailed explanation of Bethe Ansatz, Quantum Inverse Scattering Method and Algebraic Bether Ansatz as well as main models are Nonlinear Schrodinger equation (one dimensional Bose gas), Sine-Gordon and Thiring models.
Quantum Inverse Scattering Method and Correlation Functions
TL;DR: One-dimensional Bose-gas One-dimensional Heisenberg magnet Massive Thirring model Classical r-matrix Fundamentals of inverse scattering method Algebraic Bethe ansatz Quantum field theory integral models on a lattice Theory of scalar products Form factors Mean value of operator Q Assymptotics of correlation functions Temperature correlation functions Appendices References as discussed by the authors
Journal ArticleDOI
Quantum simulation of antiferromagnetic spin chains in an optical lattice
TL;DR: Using an ultracold gas of rubidium atoms confined in an optical lattice, Simon et al. as discussed by the authors simulate quantum magnetism in a chain of spins and observe a quantum phase transition from a paramagnetic phase into an antiferromagnetic phase.