Measuring postquench entanglement entropy through density correlations
Following a sudden change of interactions in an integrable system of one-dimensional fermions, we analyze the dependence of the static structure factor on the observation time after the quantum quench. At small waiting times after the quench, we map the system to noninteracting bosons such that we a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-04-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.L022023 |
| _version_ | 1797210801986076672 |
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| author | Adrian Del Maestro Hatem Barghathi Bernd Rosenow |
| author_facet | Adrian Del Maestro Hatem Barghathi Bernd Rosenow |
| author_sort | Adrian Del Maestro |
| collection | DOAJ |
| description | Following a sudden change of interactions in an integrable system of one-dimensional fermions, we analyze the dependence of the static structure factor on the observation time after the quantum quench. At small waiting times after the quench, we map the system to noninteracting bosons such that we are able to extract their occupation numbers from the Fourier transform of the density-density correlation function, and use these to compute a bosonic entropy from a diagonal ensemble. By comparing this bosonic entropy with the asymptotic steady-state entanglement entropy per fermion computed with exact diagonalization, we find excellent agreement. |
| first_indexed | 2024-04-24T10:16:23Z |
| format | Article |
| id | doaj.art-8e636b2fbc70462c9a155b0e58138063 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:16:23Z |
| publishDate | 2022-04-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-8e636b2fbc70462c9a155b0e581380632024-04-12T17:20:20ZengAmerican Physical SocietyPhysical Review Research2643-15642022-04-0142L02202310.1103/PhysRevResearch.4.L022023Measuring postquench entanglement entropy through density correlationsAdrian Del MaestroHatem BarghathiBernd RosenowFollowing a sudden change of interactions in an integrable system of one-dimensional fermions, we analyze the dependence of the static structure factor on the observation time after the quantum quench. At small waiting times after the quench, we map the system to noninteracting bosons such that we are able to extract their occupation numbers from the Fourier transform of the density-density correlation function, and use these to compute a bosonic entropy from a diagonal ensemble. By comparing this bosonic entropy with the asymptotic steady-state entanglement entropy per fermion computed with exact diagonalization, we find excellent agreement.http://doi.org/10.1103/PhysRevResearch.4.L022023 |
| spellingShingle | Adrian Del Maestro Hatem Barghathi Bernd Rosenow Measuring postquench entanglement entropy through density correlations Physical Review Research |
| title | Measuring postquench entanglement entropy through density correlations |
| title_full | Measuring postquench entanglement entropy through density correlations |
| title_fullStr | Measuring postquench entanglement entropy through density correlations |
| title_full_unstemmed | Measuring postquench entanglement entropy through density correlations |
| title_short | Measuring postquench entanglement entropy through density correlations |
| title_sort | measuring postquench entanglement entropy through density correlations |
| url | http://doi.org/10.1103/PhysRevResearch.4.L022023 |
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