Entanglement Hamiltonian of Many-Body Dynamics in Strongly Correlated Systems
A powerful perspective in understanding nonequilibrium quantum dynamics is through the time evolution of its entanglement content. Yet apart from a few guiding principles for the entanglement entropy, to date, much less is known about the refined characteristics of entanglement propagation. Here, we...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society (APS)
2020
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| Online Access: | https://hdl.handle.net/1721.1/126092 |
| _version_ | 1826199813940576256 |
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| author | Zhu, W. Huang, Zhoushen He, Yin-Chen Wen, Xueda |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Zhu, W. Huang, Zhoushen He, Yin-Chen Wen, Xueda |
| author_sort | Zhu, W. |
| collection | MIT |
| description | A powerful perspective in understanding nonequilibrium quantum dynamics is through the time evolution of its entanglement content. Yet apart from a few guiding principles for the entanglement entropy, to date, much less is known about the refined characteristics of entanglement propagation. Here, we unveil signatures of the entanglement evolving and information propagating out of equilibrium, from the view of the entanglement Hamiltonian. We investigate quantum quench dynamics of prototypical Bose-Hubbard model using state-of-the-art numerical technique combined with conformal field theory. Before reaching equilibrium, it is found that a current operator emerges in the entanglement Hamiltonian, implying that entanglement spreading is carried by particle flow. In the long-time limit the subsystem enters a steady phase, evidenced by the dynamic convergence of the entanglement Hamiltonian to the expectation of a thermal ensemble. Importantly, the entanglement temperature in steady state is spatially independent, which provides an intuitive trait of equilibrium. These findings not only provide crucial information on how equilibrium statistical mechanics emerges in many-body dynamics, but also add a tool to exploring quantum dynamics from the perspective of the entanglement Hamiltonian. Keywords: Quantum entanglement; Quantum quench; Strongly correlated systems; Conformal field theory; Density matrix renormalization group; many-body techniques |
| first_indexed | 2024-09-23T11:26:28Z |
| format | Article |
| id | mit-1721.1/126092 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:26:28Z |
| publishDate | 2020 |
| publisher | American Physical Society (APS) |
| record_format | dspace |
| spelling | mit-1721.1/1260922022-10-01T03:39:21Z Entanglement Hamiltonian of Many-Body Dynamics in Strongly Correlated Systems Zhu, W. Huang, Zhoushen He, Yin-Chen Wen, Xueda Massachusetts Institute of Technology. Department of Physics A powerful perspective in understanding nonequilibrium quantum dynamics is through the time evolution of its entanglement content. Yet apart from a few guiding principles for the entanglement entropy, to date, much less is known about the refined characteristics of entanglement propagation. Here, we unveil signatures of the entanglement evolving and information propagating out of equilibrium, from the view of the entanglement Hamiltonian. We investigate quantum quench dynamics of prototypical Bose-Hubbard model using state-of-the-art numerical technique combined with conformal field theory. Before reaching equilibrium, it is found that a current operator emerges in the entanglement Hamiltonian, implying that entanglement spreading is carried by particle flow. In the long-time limit the subsystem enters a steady phase, evidenced by the dynamic convergence of the entanglement Hamiltonian to the expectation of a thermal ensemble. Importantly, the entanglement temperature in steady state is spatially independent, which provides an intuitive trait of equilibrium. These findings not only provide crucial information on how equilibrium statistical mechanics emerges in many-body dynamics, but also add a tool to exploring quantum dynamics from the perspective of the entanglement Hamiltonian. Keywords: Quantum entanglement; Quantum quench; Strongly correlated systems; Conformal field theory; Density matrix renormalization group; many-body techniques Project No. 11974288 supported by NSFC ANL LDRD Project No. 1007112 Gordon and Betty Moore Foundation’s EPiQS initiativethrough Grant No. GBMF430 2020-07-08T19:33:15Z 2020-07-08T19:33:15Z 2020-03 2019-09 2020-03-13T14:10:22Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 https://hdl.handle.net/1721.1/126092 Zhu, W. et al. "Entanglement Hamiltonian of Many-Body Dynamics in Strongly Correlated Systems." Physical Review Letters, 124, 10 (March 2020): 100605. © 2020 American Physical Society en http://dx.doi.org/10.1103/PhysRevLett.124.100605 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society (APS) American Physical Society |
| spellingShingle | Zhu, W. Huang, Zhoushen He, Yin-Chen Wen, Xueda Entanglement Hamiltonian of Many-Body Dynamics in Strongly Correlated Systems |
| title | Entanglement Hamiltonian of Many-Body Dynamics in Strongly Correlated Systems |
| title_full | Entanglement Hamiltonian of Many-Body Dynamics in Strongly Correlated Systems |
| title_fullStr | Entanglement Hamiltonian of Many-Body Dynamics in Strongly Correlated Systems |
| title_full_unstemmed | Entanglement Hamiltonian of Many-Body Dynamics in Strongly Correlated Systems |
| title_short | Entanglement Hamiltonian of Many-Body Dynamics in Strongly Correlated Systems |
| title_sort | entanglement hamiltonian of many body dynamics in strongly correlated systems |
| url | https://hdl.handle.net/1721.1/126092 |
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