Dynamical quantum phase transition for mixed states in open systems
Based on a kinematic approach in defining a geometric phase for a density matrix, we define the generalized Loschmidt overlap amplitude (GLOA) for an open system for arbitrary quantum evolution. The GLOA reduces to the Loschmidt overlap amplitude (LOA) with a modified dynamic phase for unitary evolu...
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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
22 October 2018
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| In: |
Physical review
Year: 2018, Volume: 98, Issue: 13 |
| ISSN: | 2469-9969 |
| DOI: | 10.1103/PhysRevB.98.134310 |
| Online Access: | Verlag, Volltext: https://doi.org/10.1103/PhysRevB.98.134310 Verlag: https://link.aps.org/doi/10.1103/PhysRevB.98.134310 
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| Author Notes: | Haifeng Lang, Yixin Chen, Qiantan Hong, Heng Fan |
| Summary: | Based on a kinematic approach in defining a geometric phase for a density matrix, we define the generalized Loschmidt overlap amplitude (GLOA) for an open system for arbitrary quantum evolution. The GLOA reduces to the Loschmidt overlap amplitude (LOA) with a modified dynamic phase for unitary evolution of a pure state, with the argument of the GLOA well defined by the geometric phase, thus possessing a similar physical interpretation to that of the LOA. The rate function for the GLOA exhibits nonanalyticity at a critical time, which corresponds to the dynamical quantum phase transition. We observe that the dynamical quantum phase transition related to GLOA is not destroyed under a finite temperature and weak enough dissipation. In particular, we find that an alternate type of dynamical quantum phase transition emerges in a dissipation system. The proposed GLOA provides a powerful tool in the investigation of a dynamical quantum phase transition in an arbitrary quantum system, which not only can characterize the robustness of the dynamical quantum phase transition but also can be used to search for new transitions. |
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| Item Description: | Gesehen am 04.11.2019 |
| Physical Description: | Online Resource |
| ISSN: | 2469-9969 |
| DOI: | 10.1103/PhysRevB.98.134310 |