Strongly Coupled PT-Symmetric Models in Holography
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915037455581184 |
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| author | Arean, Daniel Garcia-Fariña, David Landsteiner, Karl |
| author_facet | Arean, Daniel Garcia-Fariña, David Landsteiner, Karl |
| contents | Non-Hermitian quantum field theories are a promising tool to study open quantum systems. These theories preserve unitarity if PT-symmetry is respected, and in that case an equivalent Hermitian description exists via the so-called Dyson map. Generically, PT-symmetric non-Hermitian theories can also feature phases where PT-symmetry is broken and unitarity is lost. We review the construction of holographic duals to strongly coupled PT-symmetric quantum field theories and the study of their phase diagram. We next focus on spacetime-dependent non-Hermitian couplings: non-Hermitian quenches and lattices. They violate the null energy condition in the gravity dual. The lattices realize phases supporting an imaginary current that breaks PT-symmetry spontaneously. Remarkably, these non-Hermitian lattices flow to a PT-symmetric fixed point in the IR. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_18471 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strongly Coupled PT-Symmetric Models in Holography Arean, Daniel Garcia-Fariña, David Landsteiner, Karl High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Phenomenology Quantum Physics Non-Hermitian quantum field theories are a promising tool to study open quantum systems. These theories preserve unitarity if PT-symmetry is respected, and in that case an equivalent Hermitian description exists via the so-called Dyson map. Generically, PT-symmetric non-Hermitian theories can also feature phases where PT-symmetry is broken and unitarity is lost. We review the construction of holographic duals to strongly coupled PT-symmetric quantum field theories and the study of their phase diagram. We next focus on spacetime-dependent non-Hermitian couplings: non-Hermitian quenches and lattices. They violate the null energy condition in the gravity dual. The lattices realize phases supporting an imaginary current that breaks PT-symmetry spontaneously. Remarkably, these non-Hermitian lattices flow to a PT-symmetric fixed point in the IR. |
| title | Strongly Coupled PT-Symmetric Models in Holography |
| topic | High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Phenomenology Quantum Physics |
| url | https://arxiv.org/abs/2411.18471 |