Pozsgai, Balázs (2013) Dynamical free energy and the Loschmidt-echo for a class of quantum quenches in the Heisenberg spin chain. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2013 (10). ISSN 1742-5468
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Abstract
We consider a class of global quantum quenches in the Heisenberg XXZ spin chain, where the initial states are given by products of local two-site states. The two main examples are the Néel state and the dimer state. We derive an exact analytic result for the „Loschmidt echo per site” at imaginary times and also consider the analytic continuation back to real times. As a by-product we obtain an exact result for the „overlap per site” between the Néel state and the ground state of the XXZ Hamiltonian in the massive regime.
| Item Type: | Article |
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| Uncontrolled Keywords: | SYSTEMS; quantum integrability (Bethe ansatz); integrable spin chains (vertex models); exact results; |
| Subjects: | Q Science / természettudomány > QC Physics / fizika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 13 Aug 2024 11:16 |
| Last Modified: | 13 Aug 2024 11:16 |
| URI: | https://real.mtak.hu/id/eprint/202507 |
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