Phase diagram of non-Hermitian BCS superfluids in a dissipative asymmetric Hubbard model
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929604877352960 |
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| author | Takemori, Soma Yamamoto, Kazuki Koga, Akihisa |
| author_facet | Takemori, Soma Yamamoto, Kazuki Koga, Akihisa |
| contents | We investigate the non-Hermitian (NH) attractive Fermi-Hubbard model with asymmetric hopping and complex-valued interactions, which can be realized by collective one-body loss and two-body loss. By means of the NH BCS theory, we find that the weak asymmetry of the hopping does not affect the BCS superfluidity since it only affects the imaginary part of the eigenvalues of the BdG Hamiltonian. Systematic analysis in the d-dimensional hypercubic lattices clarifies that the singularity in the density of states affects the phase boundary between the normal and dissipation-induced superfluid states. Our results can be tested in ultracold atoms by using the photoassociation techniques and a nonlocal Rabi coupling with local losses and postselecting null measurement outcomes with the use of the quantum-gas microscope. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16482 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Phase diagram of non-Hermitian BCS superfluids in a dissipative asymmetric Hubbard model Takemori, Soma Yamamoto, Kazuki Koga, Akihisa Quantum Gases Strongly Correlated Electrons Superconductivity Quantum Physics We investigate the non-Hermitian (NH) attractive Fermi-Hubbard model with asymmetric hopping and complex-valued interactions, which can be realized by collective one-body loss and two-body loss. By means of the NH BCS theory, we find that the weak asymmetry of the hopping does not affect the BCS superfluidity since it only affects the imaginary part of the eigenvalues of the BdG Hamiltonian. Systematic analysis in the d-dimensional hypercubic lattices clarifies that the singularity in the density of states affects the phase boundary between the normal and dissipation-induced superfluid states. Our results can be tested in ultracold atoms by using the photoassociation techniques and a nonlocal Rabi coupling with local losses and postselecting null measurement outcomes with the use of the quantum-gas microscope. |
| title | Phase diagram of non-Hermitian BCS superfluids in a dissipative asymmetric Hubbard model |
| topic | Quantum Gases Strongly Correlated Electrons Superconductivity Quantum Physics |
| url | https://arxiv.org/abs/2406.16482 |