Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
The non-equilibrium evolution of the block entanglement entropy is investigated in the XY chain in a transverse magnetic field after the Hamiltonian parameters are suddenly changed from and to arbitrary values. Using Toeplitz matrix representation and multidimensional phase methods, we provide analy...
| Главные авторы: | , |
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| Формат: | Journal article |
| Язык: | English |
| Опубликовано: |
2008
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| _version_ | 1826274526148689920 |
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| author | Fagotti, M Calabrese, P |
| author_facet | Fagotti, M Calabrese, P |
| author_sort | Fagotti, M |
| collection | OXFORD |
| description | The non-equilibrium evolution of the block entanglement entropy is investigated in the XY chain in a transverse magnetic field after the Hamiltonian parameters are suddenly changed from and to arbitrary values. Using Toeplitz matrix representation and multidimensional phase methods, we provide analytic results for large blocks and for all times, showing explicitly the linear growth in time followed by saturation. The consequences of these analytic results are discussed and the effects of a finite block length is taken into account numerically. |
| first_indexed | 2024-03-06T22:44:46Z |
| format | Journal article |
| id | oxford-uuid:5ccaf9b5-dc64-48d0-ab1b-5f3ceedc4fb5 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:44:46Z |
| publishDate | 2008 |
| record_format | dspace |
| spelling | oxford-uuid:5ccaf9b5-dc64-48d0-ab1b-5f3ceedc4fb52022-03-26T17:30:21ZEvolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic fieldJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5ccaf9b5-dc64-48d0-ab1b-5f3ceedc4fb5EnglishSymplectic Elements at Oxford2008Fagotti, MCalabrese, PThe non-equilibrium evolution of the block entanglement entropy is investigated in the XY chain in a transverse magnetic field after the Hamiltonian parameters are suddenly changed from and to arbitrary values. Using Toeplitz matrix representation and multidimensional phase methods, we provide analytic results for large blocks and for all times, showing explicitly the linear growth in time followed by saturation. The consequences of these analytic results are discussed and the effects of a finite block length is taken into account numerically. |
| spellingShingle | Fagotti, M Calabrese, P Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field |
| title | Evolution of entanglement entropy following a quantum quench: Analytic
results for the XY chain in a transverse magnetic field |
| title_full | Evolution of entanglement entropy following a quantum quench: Analytic
results for the XY chain in a transverse magnetic field |
| title_fullStr | Evolution of entanglement entropy following a quantum quench: Analytic
results for the XY chain in a transverse magnetic field |
| title_full_unstemmed | Evolution of entanglement entropy following a quantum quench: Analytic
results for the XY chain in a transverse magnetic field |
| title_short | Evolution of entanglement entropy following a quantum quench: Analytic
results for the XY chain in a transverse magnetic field |
| title_sort | evolution of entanglement entropy following a quantum quench analytic results for the xy chain in a transverse magnetic field |
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