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 ar...
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SciPost
2017-09-01
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Series: | SciPost Physics |
Online Access: | https://scipost.org/SciPostPhys.3.3.023 |
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author | Jacopo De Nardis, Miłosz Panfil, Andrea Gambassi, Leticia F. Cugliandolo, Robert Konik, Laura Foini |
author_facet | Jacopo De Nardis, Miłosz Panfil, Andrea Gambassi, Leticia F. Cugliandolo, Robert Konik, Laura Foini |
author_sort | Jacopo De Nardis, Miłosz Panfil, Andrea Gambassi, Leticia F. Cugliandolo, Robert Konik, Laura Foini |
collection | DOAJ |
description | 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. |
first_indexed | 2024-12-21T19:15:27Z |
format | Article |
id | doaj.art-88afa79b709840b0bf5d40c5740bd95a |
institution | Directory Open Access Journal |
issn | 2542-4653 |
language | English |
last_indexed | 2024-12-21T19:15:27Z |
publishDate | 2017-09-01 |
publisher | SciPost |
record_format | Article |
series | SciPost Physics |
spelling | doaj.art-88afa79b709840b0bf5d40c5740bd95a2022-12-21T18:53:05ZengSciPostSciPost Physics2542-46532017-09-013302310.21468/SciPostPhys.3.3.023Probing non-thermal density fluctuations in the one-dimensional Bose gasJacopo De Nardis, Miłosz Panfil, Andrea Gambassi, Leticia F. Cugliandolo, Robert Konik, Laura FoiniQuantum 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.https://scipost.org/SciPostPhys.3.3.023 |
spellingShingle | Jacopo De Nardis, Miłosz Panfil, Andrea Gambassi, Leticia F. Cugliandolo, Robert Konik, Laura Foini Probing non-thermal density fluctuations in the one-dimensional Bose gas SciPost Physics |
title | Probing non-thermal density fluctuations in the one-dimensional Bose gas |
title_full | Probing non-thermal density fluctuations in the one-dimensional Bose gas |
title_fullStr | Probing non-thermal density fluctuations in the one-dimensional Bose gas |
title_full_unstemmed | Probing non-thermal density fluctuations in the one-dimensional Bose gas |
title_short | Probing non-thermal density fluctuations in the one-dimensional Bose gas |
title_sort | probing non thermal density fluctuations in the one dimensional bose gas |
url | https://scipost.org/SciPostPhys.3.3.023 |
work_keys_str_mv | AT jacopodenardismiłoszpanfilandreagambassileticiafcugliandolorobertkoniklaurafoini probingnonthermaldensityfluctuationsintheonedimensionalbosegas |