The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas
We theoretically investigate the effects of atom losses in the one-dimensional (1D) Bose gas with repulsive contact interactions, a famous quantum integrable system also known as the Lieb-Liniger gas. The generic case of K-body losses (K = 1,2,3,...) is considered. We assume that the loss rate is...
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| Format: | Article |
| Language: | English |
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SciPost
2020-10-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.9.4.044 |
| _version_ | 1819039877756354560 |
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| author | Isabelle Bouchoule, Benjamin Doyon, Jerome Dubail |
| author_facet | Isabelle Bouchoule, Benjamin Doyon, Jerome Dubail |
| author_sort | Isabelle Bouchoule, Benjamin Doyon, Jerome Dubail |
| collection | DOAJ |
| description | We theoretically investigate the effects of atom losses in the
one-dimensional (1D) Bose gas with repulsive contact interactions, a famous
quantum integrable system also known as the Lieb-Liniger gas. The generic case
of K-body losses (K = 1,2,3,...) is considered. We assume that the loss rate is
much smaller than the rate of intrinsic relaxation of the system, so that at
any time the state of the system is captured by its rapidity distribution (or,
equivalently, by a Generalized Gibbs Ensemble). We give the equation governing
the time evolution of the rapidity distribution and we propose a general
numerical procedure to solve it. In the asymptotic regimes of vanishing
repulsion -- where the gas behaves like an ideal Bose gas -- and hard-core
repulsion -- where the gas is mapped to a non-interacting Fermi gas -- we
derive analytic formulas. In the latter case, our analytic result shows that
losses affect the rapidity distribution in a non-trivial way, the time
derivative of the rapidity distribution being both non-linear and non-local in
rapidity space. |
| first_indexed | 2024-12-21T09:00:11Z |
| format | Article |
| id | doaj.art-8fc374cf0d3e4f2cbfbbc9e76bdef172 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-21T09:00:11Z |
| publishDate | 2020-10-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-8fc374cf0d3e4f2cbfbbc9e76bdef1722022-12-21T19:09:29ZengSciPostSciPost Physics2542-46532020-10-019404410.21468/SciPostPhys.9.4.044The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gasIsabelle Bouchoule, Benjamin Doyon, Jerome DubailWe theoretically investigate the effects of atom losses in the one-dimensional (1D) Bose gas with repulsive contact interactions, a famous quantum integrable system also known as the Lieb-Liniger gas. The generic case of K-body losses (K = 1,2,3,...) is considered. We assume that the loss rate is much smaller than the rate of intrinsic relaxation of the system, so that at any time the state of the system is captured by its rapidity distribution (or, equivalently, by a Generalized Gibbs Ensemble). We give the equation governing the time evolution of the rapidity distribution and we propose a general numerical procedure to solve it. In the asymptotic regimes of vanishing repulsion -- where the gas behaves like an ideal Bose gas -- and hard-core repulsion -- where the gas is mapped to a non-interacting Fermi gas -- we derive analytic formulas. In the latter case, our analytic result shows that losses affect the rapidity distribution in a non-trivial way, the time derivative of the rapidity distribution being both non-linear and non-local in rapidity space.https://scipost.org/SciPostPhys.9.4.044 |
| spellingShingle | Isabelle Bouchoule, Benjamin Doyon, Jerome Dubail The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas SciPost Physics |
| title | The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas |
| title_full | The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas |
| title_fullStr | The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas |
| title_full_unstemmed | The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas |
| title_short | The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas |
| title_sort | effect of atom losses on the distribution of rapidities in the one dimensional bose gas |
| url | https://scipost.org/SciPostPhys.9.4.044 |
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