Perturbative post-quench overlaps in quantum field theory
Abstract In analytic descriptions of quantum quenches, the overlaps between the initial pre-quench state and the eigenstates of the time evolving Hamiltonian are crucial ingredients. We construct perturbative expansions of these overlaps in quantum field theories where either the pre-quench or the p...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2019)047 |
| _version_ | 1818140076233719808 |
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| author | Kristóf Hódsági Márton Kormos Gábor Takács |
| author_facet | Kristóf Hódsági Márton Kormos Gábor Takács |
| author_sort | Kristóf Hódsági |
| collection | DOAJ |
| description | Abstract In analytic descriptions of quantum quenches, the overlaps between the initial pre-quench state and the eigenstates of the time evolving Hamiltonian are crucial ingredients. We construct perturbative expansions of these overlaps in quantum field theories where either the pre-quench or the post-quench Hamiltonian is integrable. Using the E 8 Ising field theory for concrete computations, we give explicit expressions for the overlaps up to second order in the quench size, and verify our results against numerical results obtained using the Truncated Conformal Space Approach. We demonstrate that the expansion using the post-quench basis is very effective, but find some serious limitations for the alternative approach using the pre-quench basis. |
| first_indexed | 2024-12-11T10:38:14Z |
| format | Article |
| id | doaj.art-785960e18a0c4ef09d2a2c428fdbe0d7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T10:38:14Z |
| publishDate | 2019-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-785960e18a0c4ef09d2a2c428fdbe0d72022-12-22T01:10:39ZengSpringerOpenJournal of High Energy Physics1029-84792019-08-012019814610.1007/JHEP08(2019)047Perturbative post-quench overlaps in quantum field theoryKristóf Hódsági0Márton Kormos1Gábor Takács2Department of Theoretical Physics, Budapest University of Technology and EconomicsDepartment of Theoretical Physics, Budapest University of Technology and EconomicsDepartment of Theoretical Physics, Budapest University of Technology and EconomicsAbstract In analytic descriptions of quantum quenches, the overlaps between the initial pre-quench state and the eigenstates of the time evolving Hamiltonian are crucial ingredients. We construct perturbative expansions of these overlaps in quantum field theories where either the pre-quench or the post-quench Hamiltonian is integrable. Using the E 8 Ising field theory for concrete computations, we give explicit expressions for the overlaps up to second order in the quench size, and verify our results against numerical results obtained using the Truncated Conformal Space Approach. We demonstrate that the expansion using the post-quench basis is very effective, but find some serious limitations for the alternative approach using the pre-quench basis.http://link.springer.com/article/10.1007/JHEP08(2019)047Bethe AnsatzBoundary Quantum Field TheoryConformal Field TheoryIntegrable Field Theories |
| spellingShingle | Kristóf Hódsági Márton Kormos Gábor Takács Perturbative post-quench overlaps in quantum field theory Journal of High Energy Physics Bethe Ansatz Boundary Quantum Field Theory Conformal Field Theory Integrable Field Theories |
| title | Perturbative post-quench overlaps in quantum field theory |
| title_full | Perturbative post-quench overlaps in quantum field theory |
| title_fullStr | Perturbative post-quench overlaps in quantum field theory |
| title_full_unstemmed | Perturbative post-quench overlaps in quantum field theory |
| title_short | Perturbative post-quench overlaps in quantum field theory |
| title_sort | perturbative post quench overlaps in quantum field theory |
| topic | Bethe Ansatz Boundary Quantum Field Theory Conformal Field Theory Integrable Field Theories |
| url | http://link.springer.com/article/10.1007/JHEP08(2019)047 |
| work_keys_str_mv | AT kristofhodsagi perturbativepostquenchoverlapsinquantumfieldtheory AT martonkormos perturbativepostquenchoverlapsinquantumfieldtheory AT gabortakacs perturbativepostquenchoverlapsinquantumfieldtheory |