Non-Hermitian topological Fermi superfluid near the $p$-wave unitary limit
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866917566828511232 |
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| author | Tajima, Hiroyuki Sekino, Yuta Inotani, Daisuke Dohi, Akira Nagataki, Shigehiro Hayata, Tomoya |
| author_facet | Tajima, Hiroyuki Sekino, Yuta Inotani, Daisuke Dohi, Akira Nagataki, Shigehiro Hayata, Tomoya |
| contents | We theoretically discuss the non-Hermitian superfluid phase transition in one-dimensional two-component Fermi gases near the $p$-wave Feshbach resonance accompanied by the two-body loss associated with the dipolar relaxation. For the first time we point out that this system gives us an opportunity to explore the interplay among various non-trivial properties such as universal thermodynamics at divergent $p$-wave scattering length, topological phase transition at vanishing chemical potential, and non-Hermitian Bardeen-Cooper-Schrieffer(BCS) to Bose-Einstein condensate (BEC) transition, in a unified manner. In the BCS phase, the loss-induced superfluid-normal transition occurs when the exceptional point appears in the effective non-Hermitian Hamiltonian. In the BEC phase, the diffusive gapless mode can be regarded as a precursor of the instability of the superfluid state. Moreover, we show that the superfluid state is fragile against the two-body loss near the topological phase transition point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_11633 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Non-Hermitian topological Fermi superfluid near the $p$-wave unitary limit Tajima, Hiroyuki Sekino, Yuta Inotani, Daisuke Dohi, Akira Nagataki, Shigehiro Hayata, Tomoya Quantum Gases Superconductivity Nuclear Theory Quantum Physics We theoretically discuss the non-Hermitian superfluid phase transition in one-dimensional two-component Fermi gases near the $p$-wave Feshbach resonance accompanied by the two-body loss associated with the dipolar relaxation. For the first time we point out that this system gives us an opportunity to explore the interplay among various non-trivial properties such as universal thermodynamics at divergent $p$-wave scattering length, topological phase transition at vanishing chemical potential, and non-Hermitian Bardeen-Cooper-Schrieffer(BCS) to Bose-Einstein condensate (BEC) transition, in a unified manner. In the BCS phase, the loss-induced superfluid-normal transition occurs when the exceptional point appears in the effective non-Hermitian Hamiltonian. In the BEC phase, the diffusive gapless mode can be regarded as a precursor of the instability of the superfluid state. Moreover, we show that the superfluid state is fragile against the two-body loss near the topological phase transition point. |
| title | Non-Hermitian topological Fermi superfluid near the $p$-wave unitary limit |
| topic | Quantum Gases Superconductivity Nuclear Theory Quantum Physics |
| url | https://arxiv.org/abs/2212.11633 |