Quantum Chaos in the Extended Dicke Model

Wang, Qian

doi:10.3390/e24101415

Cited by 8 publications

(2 citation statements)

References 102 publications

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“…where J denotes the tunneling amplitude between two wells, U is the onsite interaction strength, λ represents the coupling between the spin and the bosonic sectors, and ω 0 corresponds to the frequency of the external bosonic mode. Much like the DM, BJJ also undergoes a QPT, above which the onset of chaos occurs [282,283], that has also been analyzed from the eigenvalue as well as the eigenvector statistics in [284]. This model is particularly interesting, as it exhibits a spectacular effect on the degree of ergodicity due to the presence of a dynamical state known as 'π-mode' (see also [270,272,273]), which can exist in the chaotic regime.…”

Section: Quantum Classical Correspondence and Collective Modelsmentioning

confidence: 99%

Classical route to ergodicity and scarring in collective quantum systems

Sinha,

Ray,

Sinha

2024

J. Phys.: Condens. Matter

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Ergodicity, a fundamental concept in statistical mechanics, is not yet a fully understood phenomena for closed quantum systems, particularly its connection with the underlying chaos. In this review, we consider a few examples of collective quantum systems to unveil the intricate relationship of ergodicity as well as its deviation due to quantum scarring phenomena with their classical counterpart. A comprehensive overview of classical and quantum chaos is provided, along with the tools essential for their detection. Furthermore, we survey recent theoretical and experimental advancements in the domain of ergodicity and its violations. This review aims to illuminate the classical perspective of quantum scarring phenomena in interacting quantum systems.

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Section: Quantum Classical Correspondence and Collective Modelsmentioning

confidence: 99%

Classical route to ergodicity and scarring in collective quantum systems

Sinha,

Ray,

Sinha

2024

J. Phys.: Condens. Matter

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“…The superradiant phase transition of the Dicke model has been studied in recent experiments [74][75][76][77][78]. The presence of quantum chaos and quantum phase transition in the Dicke model has long been an area of interest [79][80][81][82][83][84][85][86]. A demonstration of quantum-classical correspondence, using OTOC for the Dicke model, was made in the unitary case [87].…”

Section: Introductionmentioning

confidence: 99%

Quantum chaos in the Dicke model and its variants

Tiwari,

Banerjee

2023

Proc. R. Soc. A.

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Recently, the out-of-time-ordered correlator (OTOC) has gained much attention as an indicator of quantum chaos. In the semi-classical limit, its exponential growth rate resembles the classical Lyapunov exponent. The quantum–classical correspondence has been supported for the one-body chaotic systems as well as realistic systems with interactions, as in the Dicke model, a model of multi-two-level atoms and cavity field interactions. To this end, we calculate the OTOC for different variations of the Dicke model in an open quantum system setting. The connection between the superradiant phase transition of the Dicke model and the OTOC is studied. Further, we establish a relation between the OTOC and the second-order coherence function. This becomes important for the experimental studies of the OTOC and quantum chaos in the models of quantum optics.

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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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Quantum Chaos in the Extended Dicke Model

Cited by 8 publications

References 102 publications

Classical route to ergodicity and scarring in collective quantum systems

Classical route to ergodicity and scarring in collective quantum systems

Quantum chaos in the Dicke model and its variants

Quantum simulation of an extended Dicke model with a magnetic solid

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