Inequality for Strong-Weak Spontaneous Symmetry Breaking in Fermionic Open Quantum systems
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917362140184576 |
|---|---|
| author | Sarma, Abhijat Xu, Cenke |
| author_facet | Sarma, Abhijat Xu, Cenke |
| contents | Under decoherence, an initial Gaussian (free-fermion) state evolves into a non-Gaussian mixed state, so the resulting decohered fermionic state is not exactly solvable in general. We show through an inequality that a class of Rényi-2 correlators of the decohered fermion state are upper-bounded by the Rényi-2 correlator serving as a proximate diagnostic of strong-weak spontaneous symmetry breaking (SW-SSB) of the charge-U(1) symmetry. This inequality holds for arbitrary decoherence strength and suggests that decoherence drives fermionic quantum matter toward U(1) SW-SSB. We also make connections between our inequality and other subjects such as projected quantum spin Hall insulator and Dirac spin liquid states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_24671 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Inequality for Strong-Weak Spontaneous Symmetry Breaking in Fermionic Open Quantum systems Sarma, Abhijat Xu, Cenke Quantum Physics Strongly Correlated Electrons Under decoherence, an initial Gaussian (free-fermion) state evolves into a non-Gaussian mixed state, so the resulting decohered fermionic state is not exactly solvable in general. We show through an inequality that a class of Rényi-2 correlators of the decohered fermion state are upper-bounded by the Rényi-2 correlator serving as a proximate diagnostic of strong-weak spontaneous symmetry breaking (SW-SSB) of the charge-U(1) symmetry. This inequality holds for arbitrary decoherence strength and suggests that decoherence drives fermionic quantum matter toward U(1) SW-SSB. We also make connections between our inequality and other subjects such as projected quantum spin Hall insulator and Dirac spin liquid states. |
| title | Inequality for Strong-Weak Spontaneous Symmetry Breaking in Fermionic Open Quantum systems |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2603.24671 |