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Hierarchic superradiant phases in anisotropic Dicke model, by DaKai He, Zhi Song

SciPost Quantum
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Nankai University researchers DaKai He and Zhi Song uncovered hidden complexity in the anisotropic Dicke model by identifying non-analytic behavior driven by exceptional points, revealing previously unrecognized phase structures. The study demonstrates that the conventional superradiant phase splits into three distinct dynamical regions, each governed by unique effective Hamiltonians—harmonic oscillators, inverted harmonic oscillators, and their counterparts. Using Loschmidt echo analysis, the team characterized these phases by examining quench dynamics from a trivial initial state, providing a novel dynamical perspective on quantum phase transitions. Numerical simulations of finite systems validated the theoretical predictions, confirming the existence of hierarchical superradiant phases and their stability under realistic conditions. Funded by China’s National Natural Science Foundation, this work advances understanding of quantum criticality and could inform designs for superradiant quantum devices.
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SciPost Physics Core Home Authoring Refereeing Submit a manuscript About Hierarchic superradiant phases in anisotropic Dicke model DaKai He, Zhi Song SciPost Phys. Core 9, 009 (2026) · published 11 February 2026 doi: 10.21468/SciPostPhysCore.9.1.009 pdf BiBTeX RIS Submissions/Reports 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. × TY - JOURPB - SciPost FoundationDO - 10.21468/SciPostPhysCore.9.1.009TI - Hierarchic superradiant phases in anisotropic Dicke modelPY - 2026/02/11UR - https://scipost.org/SciPostPhysCore.9.1.009JF - SciPost Physics CoreJA - SciPost Phys. CoreVL - 9IS - 1SP - 009A1 - He, DaKaiAU - Song, ZhiAB - 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.ER - × @Article{10.21468/SciPostPhysCore.9.1.009, title={{Hierarchic superradiant phases in anisotropic Dicke model}}, author={DaKai He and Zhi Song}, journal={SciPost Phys. Core}, volume={9}, pages={009}, year={2026}, publisher={SciPost}, doi={10.21468/SciPostPhysCore.9.1.009}, url={https://scipost.org/10.21468/SciPostPhysCore.9.1.009},} Ontology / Topics See full Ontology or Topics database. Dicke model Dynamical phase transitions Exact diagonalization Quantum phase transitions Authors / Affiliation: mappings to Contributors and Organizations See all Organizations. 1 DaKai He, 1 Zhi Song 1 南开大学 / Nankai University [NKU] Funder for the research work leading to this publication National Natural Science Foundation of China [NSFC]

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