Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger model
We consider the time evolution of local observables after an interaction quench in the repulsive Lieb-Liniger model. The system is initialized in the ground state for vanishing interaction and then time-evolved with the Lieb-Liniger Hamiltonian for large, finite interacting strength $c$. We empl...
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| Format: | Article |
| Language: | English |
| Published: |
SciPost
2021-09-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.11.3.068 |
| Summary: | We consider the time evolution of local observables after an
interaction quench in the repulsive Lieb-Liniger model. The system is
initialized in the ground state for vanishing interaction and then
time-evolved with the Lieb-Liniger Hamiltonian for large, finite
interacting strength $c$. We employ the Quench Action approach to
express the full time evolution of local observables in terms of sums
over energy eigenstates and then derive the leading terms of a $1/c$
expansion for several one and two-point functions as a function of
time $t>0$ after the quantum quench. We observe delicate cancellations
of contributions to the spectral sums that depend on the details of
the choice of representative state in the Quench Action approach and
our final results are independent of this choice. Our results provide
a highly non-trivial confirmation of the typicality assumptions
underlying the Quench Action approach. |
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| ISSN: | 2542-4653 |