Micro–micro and micro–macro entanglement witnessing via the geometric phase in an impurity-doped Bose–Einstein condensate

Wu, Xia; Jiao, Ya-Feng; Jia, S. P.; Zhang, Ji; Zhai, Cui-Lu; Kuang, Le‐Man

doi:10.1007/s11128-022-03567-w

Cited by 2 publications

(1 citation statement)

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“…There is a ground state quantum phase transition in the standard Dicke model [44][45][46][47][48][49][50][51][52]. In addition, the dynamical behavior of impurity atoms in multiple identical atoms has been extensively studied [51,[53][54][55][56][57][58][59][60][61][62][63][64][65]. Inspired by the abrupt changes in the dynamical behavior of some systems at the quantum phase transition point [66][67][68][69][70][71][72][73][74][75][76], in this paper, we focus on the effect of the Dicke quantum phase transition on the Berry phase of the two impurity qubits (TIQs).…”

Section: Introductionmentioning

confidence: 99%

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

Zhai²,

Liu³

et al. 2022

Photonics

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In this paper, we investigate the effect of the Dicke quantum phase transition on the Berry phase of the two impurity qubits. The two impurity qubits only have dispersive interactions with the optical field of the Dicke quantum system. Therefore, the two impurity qubits do not affect the ground state energy of the Dicke Hamiltonian. We find that the Berry phase of the two impurity qubits has a sudden change at the Dicke quantum phase transition point. Therefore, the Berry phase of the two impurity qubits can be used as a phase transition signal for the Dicke quantum phase transition. In addition, the two impurity qubits change differently near the phase transition point at different times. We explain the reason for the different variations by studying the variation of the Berry phase of the two impurity qubits with the phase transition parameters and time. Finally, we investigated the variation of the Berry phases of the two impurity qubits with their initial conditions, and we found that their Berry phases also have abrupt changes with the initial conditions. Since the Dicke quantum phase transition is already experimentally executable, the research in this paper helps to provide a means for manipulating the Berry phase of the two impurity qubits.

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Section: Introductionmentioning

confidence: 99%

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

Zhai²,

Liu³

et al. 2022

Photonics

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Geometric Phase for Two-Mode Entangled Coherent States

2022

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In this paper, we study the geometric phase (GP) of two-mode entangled squeezedcoherent states (ESCSs), undergoing a unitary cyclic evolution. It is revealed that by increasing the squeezing parameter of the first or the second mode of a balanced ESCS, the GP compresses in an elliptical manner along the axis of the coherence parameter of the corresponding mode. While in the case of unbalanced ESCS, the GP compresses in a hyperbolic manner by increasing the squeezing parameters of either mode. By generalizing to higher constituting-state dimensions, it is found that the GPs of both balanced and unbalanced ESCSs, increase for a specific value of the coherence parameter.Based on these findings, using the interferometry approach, we suggest a theoretical scheme for the physical generation of the balanced ESCS.

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Micro–micro and micro–macro entanglement witnessing via the geometric phase in an impurity-doped Bose–Einstein condensate

Cited by 2 publications

References 84 publications

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

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

Geometric Phase for Two-Mode Entangled Coherent States

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