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 employ the...
| Asıl Yazarlar: | , |
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| Materyal Türü: | Journal article |
| Dil: | English |
| Baskı/Yayın Bilgisi: |
SciPost
2021
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| _version_ | 1826301342803558400 |
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| author | Granet, E Essler, FHL |
| author_facet | Granet, E Essler, FHL |
| author_sort | Granet, E |
| collection | OXFORD |
| description | 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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| first_indexed | 2024-03-07T05:30:58Z |
| format | Journal article |
| id | oxford-uuid:e24356ed-6644-4b47-ba48-2a86395e33b3 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:30:58Z |
| publishDate | 2021 |
| publisher | SciPost |
| record_format | dspace |
| spelling | oxford-uuid:e24356ed-6644-4b47-ba48-2a86395e33b32022-03-27T09:59:55ZSystematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger modelJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e24356ed-6644-4b47-ba48-2a86395e33b3EnglishSymplectic ElementsSciPost2021Granet, EEssler, FHLWe 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. |
| spellingShingle | Granet, E Essler, FHL Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger model |
| title | Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger model |
| title_full | Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger model |
| title_fullStr | Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger model |
| title_full_unstemmed | Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger model |
| title_short | Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger model |
| title_sort | systematic strong coupling expansion for out of equilibrium dynamics in the lieb liniger model |
| work_keys_str_mv | AT granete systematicstrongcouplingexpansionforoutofequilibriumdynamicsinthelieblinigermodel AT esslerfhl systematicstrongcouplingexpansionforoutofequilibriumdynamicsinthelieblinigermodel |