Entanglement and dynamical phase transition in a spin-orbit-coupled Bose-Einstein condensate

Sun, Feng-Xiao; Zhang, W.; He, Qiongyi; Gong, Qihuang

doi:10.1103/physreva.97.012307

Cited by 8 publications

(3 citation statements)

References 60 publications

(90 reference statements)

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“…Although this definition is not unique in the literature [25], it was developed in analogy to equilibrium phase transitions by defining a time-averaged order parameter that serves to distinguish dynamical phases of matter and features non-analytic behaviour at the critical point. An important current question is to understand the role of entanglement and coherence in DPTs [8,[26][27][28] and how these might be harnessed for applications in quantum science.…”

Section: Introductionmentioning

confidence: 99%

Identifying and harnessing dynamical phase transitions for quantum-enhanced sensing

Guan,

Lewis-Swan

2021

Preprint

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We propose the quantum Fisher information (QFI) as a tool to characterize dynamical phase transitions in closed quantum systems, which are usually defined in terms of non-analytic behaviour of a time-averaged order parameter. Employing the Lipkin-Meshkov-Glick model as an illustrative example, we predict that DPTs correlate with a divergent peak in the QFI that indicates the presence of correlations and entanglement useful for quantum metrology. We discuss a simple analytic model that connects the scaling of the QFI to the behaviour of the order parameter and propose a robust interferometric protocol that can enable DPTs to be harnessed as the basis of quantum-enhanced sensors.

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Section: Introductionmentioning

confidence: 99%

Identifying and harnessing dynamical phase transitions for quantum-enhanced sensing

Guan,

Lewis-Swan

2021

Preprint

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“…On the theoretical front, most of researches are devoted to study the DQPTs of both slow and sudden quantum quenches of the Hamiltonian. Furthermore, few works attempt to provide a link between sudden quench DQPTs and entanglement [90,91], entanglement entropy [84,92,93], and entanglement spectrum [93][94][95][96]. Lately, time-periodic driving and the corresponding Floquet theory has been attracted great attention [97][98][99][100].…”

Section: Introductionmentioning

confidence: 99%

Floquet dynamical phase transition and entanglement spectrum

Jafari,

Akbari

2020

Preprint

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We explore both pure and mixed states Floquet dynamical quantum phase transitions (FDQFTs) in the onedimensional p-wave superconductor with a time-driven pairing phase. In the Fourier space, the model is recast to the non-interacting quasi-spins subjected to a time-dependent effective magnetic field. We show that FDQFTs occur within a range of driving frequency without resorting to any quenches. Moreover, FDQFTs appear in the region where quasi-spins are in the resonance regime. In the resonance regime, the population completely cycles the population between the spin down and up states. Additionally, we study the conditions for the appearance of FDQFTs using the entanglement spectrum and purity entanglement measure. Our results imply that the entanglement spectrum can truly capture the resonance regime where FDQFTs occur. Particularly, the dynamical topological region results in the degeneracy of the entanglement spectrum. It is shown that the boundary of the driven frequency range, over which the system reveals FDQFTs, signaled by the purity entanglement measure.

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“…[10][11][12] Recently, realization of the laser-induced SOC [13,14] in the low-dimensional cold atom systems opens a broad avenue for studying the manybody quantum dynamics. [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] The atomic SOC with equal Rashba and Dresselhaus strengths [13,18] is equivalent to that of an electronic system with equal contribution from Rashba and Dresselhaus SOC. [21] A method of implementing arbitrary forms of SOC in a neutral particle system has also been reported.…”

Section: Introductionmentioning

confidence: 99%

Transparently manipulating spin–orbit qubit via exact degenerate ground states*

Kuo¹,

Zhu²,

Chen³

et al. 2020

Chinese Phys. B

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By investigating a harmonically confined and periodically driven particle system with spin–orbit coupling (SOC) and a specific controlled parameter, we demonstrate an exactly solvable two-level model with a complete set of spin-motion entangled Schrödinger kitten (or cat) states. In the undriven case, application of a modulation resonance results in the exact stationary states. We show a decoherence-averse effect of SOC and implement a transparent coherent control by exchanging positions of the probability-density wavepackets to create transitions between the different degenerate ground states. The expected energy consisting of quantum and continuous parts is derived, and the energy deviations caused by the exchange operations are much less than the quantum gap. The results could be directly extended to a weakly coupled single-particle chain for transparently encoding spin–orbit qubits via the robust spin-motion entangled degenerate ground states.

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Entanglement and dynamical phase transition in a spin-orbit-coupled Bose-Einstein condensate

Cited by 8 publications

References 60 publications

Identifying and harnessing dynamical phase transitions for quantum-enhanced sensing

Identifying and harnessing dynamical phase transitions for quantum-enhanced sensing

Floquet dynamical phase transition and entanglement spectrum

Transparently manipulating spin–orbit qubit via exact degenerate ground states*

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