Dynamical quantum phase transition and thermal equilibrium in the lattice Thirring model
Using tensor network methods, we simulate the real-time evolution of the lattice Thirring model quenched out of equilibrium in both the critical and massive phases and study the appearance of dynamical quantum phase transitions, as nonanalyticities in the Loschmidt rate. Although the presence of a d...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-05-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.023194 |
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| _version_ | 1850108623811772416 |
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| author | Mari Carmen Bañuls Krzysztof Cichy Hao-Ti Hung Ying-Jer Kao C.-J. David Lin Amit Singh |
| author_facet | Mari Carmen Bañuls Krzysztof Cichy Hao-Ti Hung Ying-Jer Kao C.-J. David Lin Amit Singh |
| author_sort | Mari Carmen Bañuls |
| collection | DOAJ |
| description | Using tensor network methods, we simulate the real-time evolution of the lattice Thirring model quenched out of equilibrium in both the critical and massive phases and study the appearance of dynamical quantum phase transitions, as nonanalyticities in the Loschmidt rate. Although the presence of a dynamical quantum phase transition in the model does not correspond to quenches across the critical line of the equilibrium phase diagram at zero temperature, we identify a threshold in the energy density of the initial state, necessary for a dynamical quantum phase transition to be present. Moreover, in the case of the gapped quench Hamiltonian, we unveil a connection of this threshold to a transition between different regions in the finite-temperature phase diagram. |
| format | Article |
| id | doaj-art-741cbc8d0c6a435fb4fe6c56e287e950 |
| institution | OA Journals |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-741cbc8d0c6a435fb4fe6c56e287e9502025-08-20T02:38:18ZengAmerican Physical SocietyPhysical Review Research2643-15642025-05-017202319410.1103/PhysRevResearch.7.023194Dynamical quantum phase transition and thermal equilibrium in the lattice Thirring modelMari Carmen BañulsKrzysztof CichyHao-Ti HungYing-Jer KaoC.-J. David LinAmit SinghUsing tensor network methods, we simulate the real-time evolution of the lattice Thirring model quenched out of equilibrium in both the critical and massive phases and study the appearance of dynamical quantum phase transitions, as nonanalyticities in the Loschmidt rate. Although the presence of a dynamical quantum phase transition in the model does not correspond to quenches across the critical line of the equilibrium phase diagram at zero temperature, we identify a threshold in the energy density of the initial state, necessary for a dynamical quantum phase transition to be present. Moreover, in the case of the gapped quench Hamiltonian, we unveil a connection of this threshold to a transition between different regions in the finite-temperature phase diagram.http://doi.org/10.1103/PhysRevResearch.7.023194 |
| spellingShingle | Mari Carmen Bañuls Krzysztof Cichy Hao-Ti Hung Ying-Jer Kao C.-J. David Lin Amit Singh Dynamical quantum phase transition and thermal equilibrium in the lattice Thirring model Physical Review Research |
| title | Dynamical quantum phase transition and thermal equilibrium in the lattice Thirring model |
| title_full | Dynamical quantum phase transition and thermal equilibrium in the lattice Thirring model |
| title_fullStr | Dynamical quantum phase transition and thermal equilibrium in the lattice Thirring model |
| title_full_unstemmed | Dynamical quantum phase transition and thermal equilibrium in the lattice Thirring model |
| title_short | Dynamical quantum phase transition and thermal equilibrium in the lattice Thirring model |
| title_sort | dynamical quantum phase transition and thermal equilibrium in the lattice thirring model |
| url | http://doi.org/10.1103/PhysRevResearch.7.023194 |
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