Local non-Hermitian Hamiltonian formalism for dissipative fermionic systems and loss-induced population increase in Fermi superfluids
Summary: We examine a standard scheme to obtain the non-Hermitian Hamiltonian (NHH) from the Lindblad master equation by neglecting its jump term, and propose an alternative approach to address its limitations. The NHH obtained by the conventional scheme fails to provide a good approximation for fer...
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Elsevier
2025-06-01
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2589004225009022 |
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| author | Teng Xiao Gentaro Watanabe |
| author_facet | Teng Xiao Gentaro Watanabe |
| author_sort | Teng Xiao |
| collection | DOAJ |
| description | Summary: We examine a standard scheme to obtain the non-Hermitian Hamiltonian (NHH) from the Lindblad master equation by neglecting its jump term, and propose an alternative approach to address its limitations. The NHH obtained by the conventional scheme fails to provide a good approximation for fermionic many-body systems, even on short timescales. To resolve this issue, we present a framework called the local NHH formalism, which describes the loss process in each individual mode locally. This formalism is applicable to general dissipative fermionic systems and remains consistent with the underlying Lindblad master equation at the level of the equations of motion of local observables. The local NHH formalism also provides a convenient framework for spectral analysis, compared to the Lindblad master equation. As an illustration, we consider a fermionic superfluid subject to one-body loss and find the loss-induced population increase. The conventional NHH fails to capture these unique phenomena. |
| format | Article |
| id | doaj-art-716b9bf4ea73475bb7d8b2ad5dd3cd1b |
| institution | DOAJ |
| issn | 2589-0042 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | iScience |
| spelling | doaj-art-716b9bf4ea73475bb7d8b2ad5dd3cd1b2025-08-20T03:05:42ZengElsevieriScience2589-00422025-06-0128611264110.1016/j.isci.2025.112641Local non-Hermitian Hamiltonian formalism for dissipative fermionic systems and loss-induced population increase in Fermi superfluidsTeng Xiao0Gentaro Watanabe1School of Physics and Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China; State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing 100084, P.R. China; Corresponding authorSchool of Physics and Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China; Zhejiang Province Key Laboratory of Quantum Technology and Device, Zhejiang University, Hangzhou, Zhejiang 310027, China; Corresponding authorSummary: We examine a standard scheme to obtain the non-Hermitian Hamiltonian (NHH) from the Lindblad master equation by neglecting its jump term, and propose an alternative approach to address its limitations. The NHH obtained by the conventional scheme fails to provide a good approximation for fermionic many-body systems, even on short timescales. To resolve this issue, we present a framework called the local NHH formalism, which describes the loss process in each individual mode locally. This formalism is applicable to general dissipative fermionic systems and remains consistent with the underlying Lindblad master equation at the level of the equations of motion of local observables. The local NHH formalism also provides a convenient framework for spectral analysis, compared to the Lindblad master equation. As an illustration, we consider a fermionic superfluid subject to one-body loss and find the loss-induced population increase. The conventional NHH fails to capture these unique phenomena.http://www.sciencedirect.com/science/article/pii/S2589004225009022Natural sciencesPhysicsCondensed matter physics |
| spellingShingle | Teng Xiao Gentaro Watanabe Local non-Hermitian Hamiltonian formalism for dissipative fermionic systems and loss-induced population increase in Fermi superfluids iScience Natural sciences Physics Condensed matter physics |
| title | Local non-Hermitian Hamiltonian formalism for dissipative fermionic systems and loss-induced population increase in Fermi superfluids |
| title_full | Local non-Hermitian Hamiltonian formalism for dissipative fermionic systems and loss-induced population increase in Fermi superfluids |
| title_fullStr | Local non-Hermitian Hamiltonian formalism for dissipative fermionic systems and loss-induced population increase in Fermi superfluids |
| title_full_unstemmed | Local non-Hermitian Hamiltonian formalism for dissipative fermionic systems and loss-induced population increase in Fermi superfluids |
| title_short | Local non-Hermitian Hamiltonian formalism for dissipative fermionic systems and loss-induced population increase in Fermi superfluids |
| title_sort | local non hermitian hamiltonian formalism for dissipative fermionic systems and loss induced population increase in fermi superfluids |
| topic | Natural sciences Physics Condensed matter physics |
| url | http://www.sciencedirect.com/science/article/pii/S2589004225009022 |
| work_keys_str_mv | AT tengxiao localnonhermitianhamiltonianformalismfordissipativefermionicsystemsandlossinducedpopulationincreaseinfermisuperfluids AT gentarowatanabe localnonhermitianhamiltonianformalismfordissipativefermionicsystemsandlossinducedpopulationincreaseinfermisuperfluids |