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 for the Bose gas in one spatial dimension 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.

Probing non-thermal density fluctuations in the one-dimensional Bose gas / De Nardis, Jacopo; Panfil, Miłosz; Gambassi, Andrea; Cugliandolo, Leticia F.; Konik, Robert; Foini, Laura. - In: SCIPOST PHYSICS. - ISSN 2542-4653. - 3:3(2017), pp. 1-27. [10.21468/SciPostPhys.3.3.023]

Probing non-thermal density fluctuations in the one-dimensional Bose gas

Gambassi, Andrea;
2017

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 for the Bose gas in one spatial dimension 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.
3
3
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023
https://arxiv.org/abs/1704.06649
De Nardis, Jacopo; Panfil, Miłosz; Gambassi, Andrea; Cugliandolo, Leticia F.; Konik, Robert; Foini, Laura
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/59057
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