Thermalization and non-monotonic entanglement growth in an exactly solvable model
Abstract We study quantum quenches and subsequent non-equilibrium dynamics of free Dirac fermions in 1 + 1 spacetime dimensions using time dependent mass. The final state is a normalized boundary state which is called generalized Calabrese-Cardy (gCC) state and the system thermalizes to a generalize...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13678-6 |
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| author | Shruti Paranjape Nilakash Sorokhaibam |
| author_facet | Shruti Paranjape Nilakash Sorokhaibam |
| author_sort | Shruti Paranjape |
| collection | DOAJ |
| description | Abstract We study quantum quenches and subsequent non-equilibrium dynamics of free Dirac fermions in 1 + 1 spacetime dimensions using time dependent mass. The final state is a normalized boundary state which is called generalized Calabrese-Cardy (gCC) state and the system thermalizes to a generalized Gibb’s Ensemble(GGE). We can also tune the initial states so that the final states are exact Calabrese-Cardy (CC) state and special gCC states. The system in the CC state thermalizes to a Gibb’s ensemble. We derive closed-form analytic expressions for the growth of entanglement entropy of subsystems consisting of arbitrary number of disjoint intervals in CC state. We show that the entanglement entropy of a single interval grows monotonically before saturation. In case of certain gCC states, for particular charges, the entanglement entropy of a single interval grows non-monotonically when the effective chemical potential is increased beyond a critical value. We argue that the non-monotonic growth of entanglement entropy is a boundary effect which arises due to increase in long range correlation and decrease in short range correlation at early times. |
| format | Article |
| id | doaj-art-df471a8924fd45f3b5b20120b9f31977 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-df471a8924fd45f3b5b20120b9f319772025-02-02T12:38:52ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-12-01841212410.1140/epjc/s10052-024-13678-6Thermalization and non-monotonic entanglement growth in an exactly solvable modelShruti Paranjape0Nilakash Sorokhaibam1Center for Quantum Mathematics and Physics (QMAP), Department of Physics, University of CaliforniaDepartment of Physics, Tezpur UniversityAbstract We study quantum quenches and subsequent non-equilibrium dynamics of free Dirac fermions in 1 + 1 spacetime dimensions using time dependent mass. The final state is a normalized boundary state which is called generalized Calabrese-Cardy (gCC) state and the system thermalizes to a generalized Gibb’s Ensemble(GGE). We can also tune the initial states so that the final states are exact Calabrese-Cardy (CC) state and special gCC states. The system in the CC state thermalizes to a Gibb’s ensemble. We derive closed-form analytic expressions for the growth of entanglement entropy of subsystems consisting of arbitrary number of disjoint intervals in CC state. We show that the entanglement entropy of a single interval grows monotonically before saturation. In case of certain gCC states, for particular charges, the entanglement entropy of a single interval grows non-monotonically when the effective chemical potential is increased beyond a critical value. We argue that the non-monotonic growth of entanglement entropy is a boundary effect which arises due to increase in long range correlation and decrease in short range correlation at early times.https://doi.org/10.1140/epjc/s10052-024-13678-6 |
| spellingShingle | Shruti Paranjape Nilakash Sorokhaibam Thermalization and non-monotonic entanglement growth in an exactly solvable model European Physical Journal C: Particles and Fields |
| title | Thermalization and non-monotonic entanglement growth in an exactly solvable model |
| title_full | Thermalization and non-monotonic entanglement growth in an exactly solvable model |
| title_fullStr | Thermalization and non-monotonic entanglement growth in an exactly solvable model |
| title_full_unstemmed | Thermalization and non-monotonic entanglement growth in an exactly solvable model |
| title_short | Thermalization and non-monotonic entanglement growth in an exactly solvable model |
| title_sort | thermalization and non monotonic entanglement growth in an exactly solvable model |
| url | https://doi.org/10.1140/epjc/s10052-024-13678-6 |
| work_keys_str_mv | AT shrutiparanjape thermalizationandnonmonotonicentanglementgrowthinanexactlysolvablemodel AT nilakashsorokhaibam thermalizationandnonmonotonicentanglementgrowthinanexactlysolvablemodel |