Probing non-thermal density fluctuations in the one-dimensional Bose gas
arXiv:1704.06649 · doi:10.21468/SciPostPhys.3.3.023
Abstract
Quantum integrable models display a rich variety of non-thermal excited states with unusual properties. The most common way to probe them is by performing a quantum quench, i.e., by letting a many-body initial state unitarily evolve with an integrable Hamiltonian. At late times, these systems are locally described by a generalized Gibbs ensemble with as many effective temperatures as their local conserved quantities. The experimental measurement of this macroscopic number of temperatures remains elusive. Here we show that they can be obtained by probing the dynamical structure factor of the system after the quench and by employing a generalized fluctuation-dissipation theorem that we provide. Our procedure allows us to completely reconstruct the stationary state of a quantum integrable system from state-of-the-art experimental observations.
17 pages + appendices
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Cited by in corpus (18)
- Entanglement dynamics after quantum quenches in generic integrable systems
- Quench action and Renyi entropies in integrable systems
- Correlation Functions of the Quantum Sine-Gordon Model in and out of Equilibrium
- Entanglement spreading in non-equilibrium integrable systems
- Rényi entropies after releasing the Néel state in the XXZ spin-chain
- Particle-hole pairs and density-density correlations in the Lieb-Liniger model
- Edge singularities and quasi-long-range order in non-equilibrium steady states
- Quasi-local charges and the Generalized Gibbs Ensemble in the Lieb-Liniger model
- Quantum Quench in a Harmonically Trapped One-Dimensional Bose Gas
- Quantum quench and thermalization of one-dimensional Fermi gas via phase space hydrodynamics
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- Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations
- Non equilibrium dynamics of isolated disordered systems: the classical Hamiltonian p-spin model
- Quenched dynamics of classical isolated systems: the spherical spin model with two-body random interactions or the Neumann integrable model
- The two particle-hole pairs contribution to the dynamic correlation functions of quantum integrable models
- The relevant excitations for the one-body function in the Lieb-Liniger model
- Kubo-Martin-Schwinger relation for an interacting mobile impurity
- On computing non-equilibrium dynamics following a quench