Berry Phase of Two Impurity Qubits as a Signature of Dicke Quantum Phase Transition

Lu, Wangjun; Zhai, Cui-Lu; Liu, Yan; Song, Ya-Ju; Yuan, Julin; Tang, Shi-Qing

doi:10.3390/photonics9110844

Cited by 3 publications

(1 citation statement)

References 92 publications

(109 reference statements)

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“…Motivated by the recent theoretical and experimental progress of impurity-doped-BEC systems due to numerous applications in probing strongly correlated quantum many-body states [35,36], quantum state engineering [37][38][39][40][41][42][43][44][45], quantum resource manipulation [46][47][48][49], quantum metrology [50][51][52][53], and some new hybrid atom-cavity quantum systems [54][55][56]. In this paper, we propose a hybrid cavity-BEC quantum system with radiation pressure coupling.…”

Section: Introductionmentioning

confidence: 99%

Antibunching Effects in the Hybrid Cavity–Bose–Einstein Condensates System

2023

Photonics

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We theoretically study the model of a hybrid cavity–Bose–Einstein condensates (BEC) system that consists of a two-level impurity atom coupled to a cavity–BEC system with radiation pressure coupling, where the system is weakly driven by a monochromatic laser field. The steady-states behavior of the entire system is researched in the framework of the impurity–cavity coupling dispersive limit. We find that the multiple types of photon steady-state antibunching effects can be obtained when only the dissipation of the cavity is included. Moreover, the strength and frequency range of conventional steady-state antibunching effects of the cavity can be significantly modified by the impurity atom and intrinsic non-linearity of BEC. This result shows that our study can provide a method to tune the antibunching effects of the cavity field. In addition, the non-standard photon blockade or superbunching effect with the suppression of two-photon correlation and enhancement of three-photon correlation can be realized. The frequency range of the superbunching effect also can be changed by the impurity atom and intrinsic non-linearity of BEC. Therefore, our study shows many quantum statistical characteristics in a hybrid cavity–BEC quantum system and its manipulation.

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Section: Introductionmentioning

confidence: 99%

Antibunching Effects in the Hybrid Cavity–Bose–Einstein Condensates System

2023

Photonics

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Phase and Amplitude Modes in the Anisotropic Dicke Model with Matter Interactions

Herrera Romero,

Bastarrachea-Magnani

2024

Entropy

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Phase and amplitude modes, also called polariton modes, are emergent phenomena that manifest across diverse physical systems, from condensed matter and particle physics to quantum optics. We study their behavior in an anisotropic Dicke model that includes collective matter interactions. We study the low-lying spectrum in the thermodynamic limit via the Holstein–Primakoff transformation and contrast the results with the semi-classical energy surface obtained via coherent states. We also explore the geometric phase for both boson and spin contours in the parameter space as a function of the phases in the system. We unveil novel phenomena due to the unique critical features provided by the interplay between the anisotropy and matter interactions. We expect our results to serve the observation of phase and amplitude modes in current quantum information platforms.

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Quantum Speed-Up Induced by the Quantum Phase Transition in a Nonlinear Dicke Model with Two Impurity Qubits

Zhai

Liu

et al. 2022

Symmetry

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In this paper, we investigate the effect of the Dicke quantum phase transition on the speed of evolution of the system dynamics. At the phase transition point, the symmetry associated with the system parity operator begins to break down. By comparing the magnitudes of the two types of quantum speed limit times, we find that the quantum speed limit time of the system is described by one of the quantum speed limit times, whether in the normal or superradiant phase. We find that, in the normal phase, the strength of the coupling between the optical field and the atoms has little effect on the dynamical evolution speed of the system. However, in the superradiant phase, a stronger atom–photon coupling strength can accelerate the system dynamics’ evolution. Finally, we investigate the effect of the entanglement of the initial state of the system on the speed of evolution of the system dynamics. We find that in the normal phase, the entanglement of the initial state of the system has almost no effect on the system dynamics’ evolution speed. However, in the superradiant phase, larger entanglement of the system can accelerate the evolution of the system dynamics. Furthermore, we verify the above conclusions by the actual evolution of the system.

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Berry Phase of Two Impurity Qubits as a Signature of Dicke Quantum Phase Transition

Cited by 3 publications

References 92 publications

Antibunching Effects in the Hybrid Cavity–Bose–Einstein Condensates System

Antibunching Effects in the Hybrid Cavity–Bose–Einstein Condensates System

Phase and Amplitude Modes in the Anisotropic Dicke Model with Matter Interactions

Quantum Speed-Up Induced by the Quantum Phase Transition in a Nonlinear Dicke Model with Two Impurity Qubits

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