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

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.
Authors:
 [1] ;  [2] ; ORCiD logo [3] ;  [4] ; ORCiD logo [5] ;  [6]
  1. French National Centre for Scientific Research, École Normale Supérieure
  2. University of Warsaw
  3. National Institute of Nuclear Physics (at SISSA)
  4. Laboratory of Theoretical and High Energy Physics
  5. Brookhaven National Laboratory
  6. École Normale Supérieure
Publication Date:
Grant/Contract Number:
AC02-98CH10886
Type:
Published Article
Journal Name:
SciPost Physics
Additional Journal Information:
Journal Name: SciPost Physics Journal Volume: 3 Journal Issue: 3; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Sponsoring Org:
USDOE
Country of Publication:
Country unknown/Code not available
Language:
English
OSTI Identifier:
1395184

De Nardis, Jacopo, Panfil, Milosz, Gambassi, Andrea, Cugliandolo, Leticia, Konik, Robert, and Foini, Laura. Probing non-thermal density fluctuations in the one-dimensional Bose gas. Country unknown/Code not available: N. p., Web. doi:10.21468/SciPostPhys.3.3.023.
De Nardis, Jacopo, Panfil, Milosz, Gambassi, Andrea, Cugliandolo, Leticia, Konik, Robert, & Foini, Laura. Probing non-thermal density fluctuations in the one-dimensional Bose gas. Country unknown/Code not available. doi:10.21468/SciPostPhys.3.3.023.
De Nardis, Jacopo, Panfil, Milosz, Gambassi, Andrea, Cugliandolo, Leticia, Konik, Robert, and Foini, Laura. 2017. "Probing non-thermal density fluctuations in the one-dimensional Bose gas". Country unknown/Code not available. doi:10.21468/SciPostPhys.3.3.023.
@article{osti_1395184,
title = {Probing non-thermal density fluctuations in the one-dimensional Bose gas},
author = {De Nardis, Jacopo and Panfil, Milosz and Gambassi, Andrea and Cugliandolo, Leticia and Konik, Robert and Foini, Laura},
abstractNote = {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.},
doi = {10.21468/SciPostPhys.3.3.023},
journal = {SciPost Physics},
number = 3,
volume = 3,
place = {Country unknown/Code not available},
year = {2017},
month = {9}
}