Emergent conformal symmetry in nonunitary random dynamics of free fermions
We present random quantum circuit models for nonunitary quantum dynamics of free fermions in one spatial dimension. Numerical simulations reveal that the dynamics tends toward steady states with logarithmic violations of the entanglement area law and power law correlation functions. Moreover, starti...
| Egile Nagusiak: | , , , |
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| Formatua: | Artikulua |
| Hizkuntza: | English |
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American Physical Society
2020-07-01
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| Saila: | Physical Review Research |
| Sarrera elektronikoa: | http://doi.org/10.1103/PhysRevResearch.2.033017 |
| _version_ | 1827286102599270400 |
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| author | Xiao Chen Yaodong Li Matthew P. A. Fisher Andrew Lucas |
| author_facet | Xiao Chen Yaodong Li Matthew P. A. Fisher Andrew Lucas |
| author_sort | Xiao Chen |
| collection | DOAJ |
| description | We present random quantum circuit models for nonunitary quantum dynamics of free fermions in one spatial dimension. Numerical simulations reveal that the dynamics tends toward steady states with logarithmic violations of the entanglement area law and power law correlation functions. Moreover, starting with a short-range entangled many-body state, the dynamical evolution of entanglement and correlations quantitatively agrees with the predictions of two-dimensional conformal field theory with a spacelike time direction. We argue that this behavior is generic in nonunitary free quantum dynamics with time-dependent randomness, and we show that the emergent conformal dynamics of two-point functions arises out of a simple “nonlinear master equation.” |
| first_indexed | 2024-04-24T10:25:52Z |
| format | Article |
| id | doaj.art-5f1d895bcfbe44d0a6a0c4b10b51f1c8 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:25:52Z |
| publishDate | 2020-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-5f1d895bcfbe44d0a6a0c4b10b51f1c82024-04-12T16:56:38ZengAmerican Physical SocietyPhysical Review Research2643-15642020-07-012303301710.1103/PhysRevResearch.2.033017Emergent conformal symmetry in nonunitary random dynamics of free fermionsXiao ChenYaodong LiMatthew P. A. FisherAndrew LucasWe present random quantum circuit models for nonunitary quantum dynamics of free fermions in one spatial dimension. Numerical simulations reveal that the dynamics tends toward steady states with logarithmic violations of the entanglement area law and power law correlation functions. Moreover, starting with a short-range entangled many-body state, the dynamical evolution of entanglement and correlations quantitatively agrees with the predictions of two-dimensional conformal field theory with a spacelike time direction. We argue that this behavior is generic in nonunitary free quantum dynamics with time-dependent randomness, and we show that the emergent conformal dynamics of two-point functions arises out of a simple “nonlinear master equation.”http://doi.org/10.1103/PhysRevResearch.2.033017 |
| spellingShingle | Xiao Chen Yaodong Li Matthew P. A. Fisher Andrew Lucas Emergent conformal symmetry in nonunitary random dynamics of free fermions Physical Review Research |
| title | Emergent conformal symmetry in nonunitary random dynamics of free fermions |
| title_full | Emergent conformal symmetry in nonunitary random dynamics of free fermions |
| title_fullStr | Emergent conformal symmetry in nonunitary random dynamics of free fermions |
| title_full_unstemmed | Emergent conformal symmetry in nonunitary random dynamics of free fermions |
| title_short | Emergent conformal symmetry in nonunitary random dynamics of free fermions |
| title_sort | emergent conformal symmetry in nonunitary random dynamics of free fermions |
| url | http://doi.org/10.1103/PhysRevResearch.2.033017 |
| work_keys_str_mv | AT xiaochen emergentconformalsymmetryinnonunitaryrandomdynamicsoffreefermions AT yaodongli emergentconformalsymmetryinnonunitaryrandomdynamicsoffreefermions AT matthewpafisher emergentconformalsymmetryinnonunitaryrandomdynamicsoffreefermions AT andrewlucas emergentconformalsymmetryinnonunitaryrandomdynamicsoffreefermions |