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Article overview
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Emergent eigenstate solution and emergent Gibbs ensemble for expansion dynamics in optical lattices | | L. Vidmar
; W. Xu
; M. Rigol
; | | Date: |
4 Apr 2017 | | Abstract: | Within the emergent eigenstate solution to quantum dynamics
[arXiv:1512.05373], one can construct a local operator (an emergent
Hamiltonian) of which the time-evolving state is an eigenstate. Here we show
that such a solution exists for the expansion dynamics of Tonks-Girardeau gases
in optical lattices after turning off power-law (e.g., harmonic or quartic)
confining potentials. For systems that are initially in the ground state and
undergo dynamical fermionization during the expansion, we show that they remain
in the ground state of the emergent local Hamiltonian at all times. On the
other hand, for systems at nonzero initial temperatures, the expansion dynamics
can be described constructing a Gibbs ensemble for the emergent local
Hamiltonian (an emergent Gibbs ensemble). | | Source: | arXiv, 1704.1125 | | Services: | Forum | Review | PDF | Favorites | |
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