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Hierarchic superradiant phases in anisotropic Dicke model
by D. K. He, Z. Song
Submission summary
| Authors (as registered SciPost users): | DaKai He |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2505.21169v3 (pdf) |
| Date submitted: | Dec. 11, 2025, 5:05 a.m. |
| Submitted by: | DaKai He |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We revisit the phase diagram of an anisotropic Dicke model by revealing the non-analyticity induced by underlying exceptional points. We find that, from a dynamical perspective, the conventional superradiant phase can be further separated into three regions, in which the systems are characterized by different effective Hamiltonians, including the harmonic oscillator, the inverted harmonic oscillator, and their respective counterparts. We employ the Loschmidt echo to characterize different quantum phases by analyzing the quench dynamics of a trivial initial state. Numerical simulations for finite systems confirm our predictions about the existence of hierarchic superradiant phases.
List of changes
List of changes: 1. More references have been added. 2. A discussion on negative energy has been added. 3. The discussion on stability has been rephrased. 4. The discussions on the truncation of the Hilbert space have been added. 5. A discussion on the impact of the initial state on the phase boundaries has been added. The main revised text is marked in red in the manuscript.