Many-body non-Hermitian skin effect under dynamic gauge coupling
We study an atom-cavity hybrid system where fermionic atoms in a one-dimensional lattice are subject to a cavity-induced dynamic gauge potential. The gauge coupling leads to highly degenerate steady states in which the fermions accumulate to one edge of the lattice under an open boundary condition....
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-09-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.033173 |
| _version_ | 1797210382618591232 |
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| author | Haowei Li Haojie Wu Wei Zheng Wei Yi |
| author_facet | Haowei Li Haojie Wu Wei Zheng Wei Yi |
| author_sort | Haowei Li |
| collection | DOAJ |
| description | We study an atom-cavity hybrid system where fermionic atoms in a one-dimensional lattice are subject to a cavity-induced dynamic gauge potential. The gauge coupling leads to highly degenerate steady states in which the fermions accumulate to one edge of the lattice under an open boundary condition. Such a phenomenon originates from the many-body Liouvillian superoperator of the system, which, being intrinsically non-Hermitian, is unstable against boundary perturbations and manifests the non-Hermitian skin effect. Contrary to the single-body case, the steady state of a multiatom system is approached much slower under the open boundary condition, as the long-time damping of the cavity mode exhibits distinct rates at different times. This stagewise slowdown is attributed to the competition between light-assisted hopping and the dynamic gauge coupling, which significantly reduces the steady-state degeneracy under the open boundary condition, as distinct hosts of quasisteady states dominate the dynamics at different timescales. |
| first_indexed | 2024-04-24T10:09:43Z |
| format | Article |
| id | doaj.art-8552883db1a8492bbb770501b4913bf8 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:09:43Z |
| publishDate | 2023-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-8552883db1a8492bbb770501b4913bf82024-04-12T17:33:55ZengAmerican Physical SocietyPhysical Review Research2643-15642023-09-015303317310.1103/PhysRevResearch.5.033173Many-body non-Hermitian skin effect under dynamic gauge couplingHaowei LiHaojie WuWei ZhengWei YiWe study an atom-cavity hybrid system where fermionic atoms in a one-dimensional lattice are subject to a cavity-induced dynamic gauge potential. The gauge coupling leads to highly degenerate steady states in which the fermions accumulate to one edge of the lattice under an open boundary condition. Such a phenomenon originates from the many-body Liouvillian superoperator of the system, which, being intrinsically non-Hermitian, is unstable against boundary perturbations and manifests the non-Hermitian skin effect. Contrary to the single-body case, the steady state of a multiatom system is approached much slower under the open boundary condition, as the long-time damping of the cavity mode exhibits distinct rates at different times. This stagewise slowdown is attributed to the competition between light-assisted hopping and the dynamic gauge coupling, which significantly reduces the steady-state degeneracy under the open boundary condition, as distinct hosts of quasisteady states dominate the dynamics at different timescales.http://doi.org/10.1103/PhysRevResearch.5.033173 |
| spellingShingle | Haowei Li Haojie Wu Wei Zheng Wei Yi Many-body non-Hermitian skin effect under dynamic gauge coupling Physical Review Research |
| title | Many-body non-Hermitian skin effect under dynamic gauge coupling |
| title_full | Many-body non-Hermitian skin effect under dynamic gauge coupling |
| title_fullStr | Many-body non-Hermitian skin effect under dynamic gauge coupling |
| title_full_unstemmed | Many-body non-Hermitian skin effect under dynamic gauge coupling |
| title_short | Many-body non-Hermitian skin effect under dynamic gauge coupling |
| title_sort | many body non hermitian skin effect under dynamic gauge coupling |
| url | http://doi.org/10.1103/PhysRevResearch.5.033173 |
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