Prethermalization in coupled one-dimensional quantum gases
Maciej Łebek, Miłosz Panfil, Robert M. Konik
SciPost Phys. 17, 007 (2024) · published 10 July 2024
- doi: 10.21468/SciPostPhys.17.1.007
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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, $\gamma$. When both tubes are in the strongly interacting regime we additionally characterize this non-thermal prethermalization plateau by constructing the quasi-conserved quantities that control the existence of this plateau as well as the associated generalized Gibbs ensemble.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Maciej Łebek,
- 1 Miłosz Panfil,
- 2 Robert M. Konik