Prethermalization in coupled one-dimensional quantum gases
- URL: http://arxiv.org/abs/2303.12490v2
- Date: Thu, 14 Mar 2024 15:06:04 GMT
- Title: Prethermalization in coupled one-dimensional quantum gases
- Authors: Maciej Łebek, Miłosz Panfil, Robert M. Konik,
- Abstract summary: We consider the problem of steady states in one-dimensional Bose gas tubes that are weakly coupled to one another through a density-density interaction.
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.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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, $\gamma$. 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.
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