Dynamical localization transition in the non-Hermitian lattice gauge theory
Abstract Local constraint in the lattice gauge theory provides an exotic mechanism that facilitates the disorder-free localization. However, the understanding of nonequilibrium dynamics in the non-Hermitian lattice gauge model remains limited. Here, we investigate the quench dynamics in a system of...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2024-02-01
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| Series: | Communications Physics |
| Online Access: | https://doi.org/10.1038/s42005-024-01544-6 |
| _version_ | 1797274386728747008 |
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| author | Jun-Qing Cheng Shuai Yin Dao-Xin Yao |
| author_facet | Jun-Qing Cheng Shuai Yin Dao-Xin Yao |
| author_sort | Jun-Qing Cheng |
| collection | DOAJ |
| description | Abstract Local constraint in the lattice gauge theory provides an exotic mechanism that facilitates the disorder-free localization. However, the understanding of nonequilibrium dynamics in the non-Hermitian lattice gauge model remains limited. Here, we investigate the quench dynamics in a system of spinless fermions with nonreciprocal hopping in the $${{\mathbb{Z}}}_{2}$$ Z 2 gauge field. By employing a duality mapping, we systematically explore the non-Hermitian skin effect, localization-delocalization transition, and real-complex transition. Through the identification of diverse scaling behaviors of quantum mutual information for fermions and spins, we propose that the non-Hermitian quantum disentangled liquids exist both in the localized and delocalized phases, the former originates from the $${{\mathbb{Z}}}_{2}$$ Z 2 gauge field and the latter arises from the non-Hermitian skin effect. Furthermore, we demonstrate that the nonreciprocal dissipation causes the flow of quantum information. Our results provide valuable insights into the nonequilibrium dynamics in the gauge field, and may be experimentally validated using quantum simulators. |
| first_indexed | 2024-03-07T14:57:38Z |
| format | Article |
| id | doaj.art-9dac048855e148f188494cafa3efec54 |
| institution | Directory Open Access Journal |
| issn | 2399-3650 |
| language | English |
| last_indexed | 2024-03-07T14:57:38Z |
| publishDate | 2024-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Communications Physics |
| spelling | doaj.art-9dac048855e148f188494cafa3efec542024-03-05T19:21:05ZengNature PortfolioCommunications Physics2399-36502024-02-01711910.1038/s42005-024-01544-6Dynamical localization transition in the non-Hermitian lattice gauge theoryJun-Qing Cheng0Shuai Yin1Dao-Xin Yao2State Key Laboratory of Optoelectronic Materials and Technologies, Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices, School of Physics, Sun Yat-Sen UniversityState Key Laboratory of Optoelectronic Materials and Technologies, Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices, School of Physics, Sun Yat-Sen UniversityState Key Laboratory of Optoelectronic Materials and Technologies, Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices, School of Physics, Sun Yat-Sen UniversityAbstract Local constraint in the lattice gauge theory provides an exotic mechanism that facilitates the disorder-free localization. However, the understanding of nonequilibrium dynamics in the non-Hermitian lattice gauge model remains limited. Here, we investigate the quench dynamics in a system of spinless fermions with nonreciprocal hopping in the $${{\mathbb{Z}}}_{2}$$ Z 2 gauge field. By employing a duality mapping, we systematically explore the non-Hermitian skin effect, localization-delocalization transition, and real-complex transition. Through the identification of diverse scaling behaviors of quantum mutual information for fermions and spins, we propose that the non-Hermitian quantum disentangled liquids exist both in the localized and delocalized phases, the former originates from the $${{\mathbb{Z}}}_{2}$$ Z 2 gauge field and the latter arises from the non-Hermitian skin effect. Furthermore, we demonstrate that the nonreciprocal dissipation causes the flow of quantum information. Our results provide valuable insights into the nonequilibrium dynamics in the gauge field, and may be experimentally validated using quantum simulators.https://doi.org/10.1038/s42005-024-01544-6 |
| spellingShingle | Jun-Qing Cheng Shuai Yin Dao-Xin Yao Dynamical localization transition in the non-Hermitian lattice gauge theory Communications Physics |
| title | Dynamical localization transition in the non-Hermitian lattice gauge theory |
| title_full | Dynamical localization transition in the non-Hermitian lattice gauge theory |
| title_fullStr | Dynamical localization transition in the non-Hermitian lattice gauge theory |
| title_full_unstemmed | Dynamical localization transition in the non-Hermitian lattice gauge theory |
| title_short | Dynamical localization transition in the non-Hermitian lattice gauge theory |
| title_sort | dynamical localization transition in the non hermitian lattice gauge theory |
| url | https://doi.org/10.1038/s42005-024-01544-6 |
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