Critical Phenomena in Light–Matter Systems with Collective Matter Interactions

Herrera, Romero, Ricardo; Bastarrachea-Magnani, Miguel A.; Linares, Román

doi:10.3390/e24091198

Cited by 5 publications

(3 citation statements)

References 92 publications

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“…In addition, understanding the emergence of chaos and the impact of atomic interaction from the dynamics of the classical counterpart of the model would be another interesting topic. Very recently, the critical phenomena in the extended Dicke model have been thoroughly analyzed in this direction [ 65 ]. Finally, we would like to mention that a direct demonstration of level spacing distribution in an ultracold-atom system has been realized in a recent experiment [ 99 ].…”

Section: Discussionmentioning

confidence: 99%

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Quantum Chaos in the Extended Dicke Model

Wang

2022

Entropy

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We systematically study the chaotic signatures in a quantum many-body system consisting of an ensemble of interacting two-level atoms coupled to a single-mode bosonic field, the so-called extended Dicke model. The presence of the atom–atom interaction also leads us to explore how the atomic interaction affects the chaotic characters of the model. By analyzing the energy spectral statistics and the structure of eigenstates, we reveal the quantum signatures of chaos in the model and discuss the effect of the atomic interaction. We also investigate the dependence of the boundary of chaos extracted from both eigenvalue-based and eigenstate-based indicators on the atomic interaction. We show that the impact of the atomic interaction on the spectral statistics is stronger than on the structure of eigenstates. Qualitatively, the integrablity-to-chaos transition found in the Dicke model is amplified when the interatomic interaction in the extended Dicke model is switched on.

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Section: Discussionmentioning

confidence: 99%

“…In the present work, we analyze the emergence of chaos in the extended Dicke model. There are several different versions of the extended Dicke model [ 62 , 63 , 64 , 65 ]. Here, we focus on the one that has been discussed in ref.…”

Section: Introductionmentioning

confidence: 99%

Quantum Chaos in the Extended Dicke Model

Wang

2022

Entropy

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“…A quantum dot inside a single-mode cavity, described by the Rabi model, allows the distinguishing of topological phases when coupled to an additional Majorana nanowire [43]. Furthermore, the introduction of collective spin-spin interactions to the Dicke model stimulates the exploration of quantum criticality in systems combining matter--matter and light--matter interactions [44].…”

Section: Introductionmentioning

confidence: 99%

Quantum Phase Transitions in a Generalized Dicke Model

Liu,

Duan

2023

Entropy

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We investigate a generalized Dicke model by introducing two interacting spin ensembles coupled with a single-mode bosonic field. Apart from the normal to superradiant phase transition induced by the strong spin–boson coupling, interactions between the two spin ensembles enrich the phase diagram by introducing ferromagnetic, antiferromagnetic and paramagnetic phases. The mean-field approach reveals a phase diagram comprising three phases: paramagnetic–normal phase, ferromagnetic–superradiant phase, and antiferromagnetic–normal phase. Ferromagnetic spin–spin interaction can significantly reduce the required spin–boson coupling strength to observe the superradiant phase, where the macroscopic excitation of the bosonic field occurs. Conversely, antiferromagnetic spin–spin interaction can strongly suppress the superradiant phase. To examine higher-order quantum effects beyond the mean-field contribution, we utilize the Holstein–Primakoff transformation, which converts the generalized Dicke model into three coupled harmonic oscillators in the thermodynamic limit. Near the critical point, we observe the close of the energy gap between the ground and the first excited states, the divergence of entanglement entropy and quantum fluctuation in certain quadrature. These observations further confirm the quantum phase transition and offer additional insights into critical behaviors.

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Quantum simulation of an extended Dicke model with a magnetic solid

Marquez Peraca,

Li,

Moya

et al. 2024

Commun Mater

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The Dicke model describes the cooperative interaction of an ensemble of two-level atoms with a single-mode photonic field and exhibits a quantum phase transition as a function of light–matter coupling strength. Extending this model by incorporating short-range atom–atom interactions makes the problem intractable but is expected to produce new physical phenomena and phases. Here, we simulate such an extended Dicke model using a crystal of ErFeO3, where the role of atoms (photons) is played by Er3+ spins (Fe3+ magnons). Through terahertz spectroscopy and magnetocaloric effect measurements as a function of temperature and magnetic field, we demonstrated the existence of a novel atomically ordered phase in addition to the superradiant and normal phases that are expected from the standard Dicke model. Further, we elucidated the nature of the phase boundaries in the temperature–magnetic-field phase diagram, identifying both first-order and second-order phase transitions. These results lay the foundation for studying multiatomic quantum optics models using well-characterized many-body solid-state systems.

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Critical Phenomena in Light–Matter Systems with Collective Matter Interactions

Cited by 5 publications

References 92 publications

Quantum Chaos in the Extended Dicke Model

Quantum Chaos in the Extended Dicke Model

Quantum Phase Transitions in a Generalized Dicke Model

Quantum simulation of an extended Dicke model with a magnetic solid

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