Prethermalization in coupled one-dimensional quantum gases
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929414503137280 |
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| author | Łebek, Maciej Panfil, Miłosz Konik, Robert M. |
| author_facet | Łebek, Maciej Panfil, Miłosz Konik, Robert M. |
| contents | We consider the problem of the development of steady states in one-dimensional Bose gas tubes that are weakly coupled to one another through a density-density interaction. We analyze this development through a Boltzmann collision integral approach. We argue that when the leading order of the collision integral, where single particle-hole excitations are created in individual gases, is dominant, the state of the gas evolves first to a non-thermal fixed point, i.e. a prethermalization plateau. This order is dominant when a pair of tubes are inequivalent with, say, different temperatures or different effective interaction parameters, $γ$. We characterize this non-thermal prethermalization plateau, constructing both the quasi-conserved quantities that control the existence of this plateau as well as the associated generalized Gibbs ensemble. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_12490 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Prethermalization in coupled one-dimensional quantum gases Łebek, Maciej Panfil, Miłosz Konik, Robert M. Quantum Gases Statistical Mechanics Quantum Physics We consider the problem of the development of steady states in one-dimensional Bose gas tubes that are weakly coupled to one another through a density-density interaction. We analyze this development through a Boltzmann collision integral approach. We argue that when the leading order of the collision integral, where single particle-hole excitations are created in individual gases, is dominant, the state of the gas evolves first to a non-thermal fixed point, i.e. a prethermalization plateau. This order is dominant when a pair of tubes are inequivalent with, say, different temperatures or different effective interaction parameters, $γ$. We characterize this non-thermal prethermalization plateau, constructing both the quasi-conserved quantities that control the existence of this plateau as well as the associated generalized Gibbs ensemble. |
| title | Prethermalization in coupled one-dimensional quantum gases |
| topic | Quantum Gases Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2303.12490 |