General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912049045438464 |
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| author | Shimomura, Kenji Sato, Masatoshi |
| author_facet | Shimomura, Kenji Sato, Masatoshi |
| contents | Non-Hermiticity enables macroscopic accumulation of bulk states, named non-Hermitian skin effects. The non-Hermitian skin effects are well-established for single-particle systems, but their proper characterization for general systems is elusive. Here, we propose a general criterion of non-Hermitian skin effects, which works for any finite-dimensional system evolved by a linear operator. The applicable systems include many-body systems and network systems. A system meeting the criterion exhibits enhanced non-normality of the evolution operator, accompanied by exceptional characteristics intrinsic to non-Hermitian systems. Applying the criterion, we discover a new type of non-Hermitian skin effect in many-body systems, which we dub the Fock space skin effect. We also discuss the Fock space skin effect-induced slow dynamics, which gives an experimental signal for the Fock space skin effect. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13595 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems Shimomura, Kenji Sato, Masatoshi Quantum Physics Mesoscale and Nanoscale Physics Quantum Gases Statistical Mechanics Strongly Correlated Electrons Non-Hermiticity enables macroscopic accumulation of bulk states, named non-Hermitian skin effects. The non-Hermitian skin effects are well-established for single-particle systems, but their proper characterization for general systems is elusive. Here, we propose a general criterion of non-Hermitian skin effects, which works for any finite-dimensional system evolved by a linear operator. The applicable systems include many-body systems and network systems. A system meeting the criterion exhibits enhanced non-normality of the evolution operator, accompanied by exceptional characteristics intrinsic to non-Hermitian systems. Applying the criterion, we discover a new type of non-Hermitian skin effect in many-body systems, which we dub the Fock space skin effect. We also discuss the Fock space skin effect-induced slow dynamics, which gives an experimental signal for the Fock space skin effect. |
| title | General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Quantum Gases Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2403.13595 |