A Monte Carlo sampling scheme evaluates Lehmann representations for quench dynamics in integrable models, applied to the order parameter evolution in the repulsive Lieb-Liniger gas across interaction strengths.
Eigenstate thermalization
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abstract
We provide a pedagogical introduction to eigenstate thermalization. This phenomenon, which occurs in generic quantum systems, allows one to understand why thermalization takes place in isolated systems under unitary dynamics. We motivate eigenstate thermalization using random matrix theory and discuss recent complementary results for the volume-law entanglement entropy of Haar-random states. We discuss numerical results that highlight the corresponding behaviors in quantum many-body systems.
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Graph-energy centrality applied to Fock-space graphs captures weak ergodicity-breaking transitions in quantum many-body systems and scales to hundreds of sites or the thermodynamic limit.
Typical entanglement entropy with fixed global charge is given by the local thermal entropy at fixed charge density for both U(1) and SU(2) symmetries in the thermodynamic limit.
Extends gauge invariance via operator shifting in quantum statistical mechanics, deriving sum rules and hyperdensity functionals for equilibrium and nonequilibrium cases.
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Non-equilibrium quantum dynamics of interacting integrable models by Monte Carlo sampling Lehmann representations
A Monte Carlo sampling scheme evaluates Lehmann representations for quench dynamics in integrable models, applied to the order parameter evolution in the repulsive Lieb-Liniger gas across interaction strengths.
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Graph-theory measures capture weak ergodicity breaking on large quantum systems
Graph-energy centrality applied to Fock-space graphs captures weak ergodicity-breaking transitions in quantum many-body systems and scales to hundreds of sites or the thermodynamic limit.
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Typical entanglement entropy with charge conservation
Typical entanglement entropy with fixed global charge is given by the local thermal entropy at fixed charge density for both U(1) and SU(2) symmetries in the thermodynamic limit.
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Quantum statistical mechanics: Gauge invariance, operator shifting, hyperdensity functionals, and nonequilibrium sum rules
Extends gauge invariance via operator shifting in quantum statistical mechanics, deriving sum rules and hyperdensity functionals for equilibrium and nonequilibrium cases.