Rebuilding of destroyed spin squeezing in noisy environments

Xu, Peng; Sun, Huanying; Yi, Su; Zhang, Wenxian

doi:10.1038/s41598-017-14442-5

Cited by 7 publications

(4 citation statements)

References 49 publications

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“…In a practical spin squeezing experiment of BEC, unavoidable noise can cause decoherence and hinders the perfect TACT. For example, a stray magnetic field noise commonly occurs [37]. For such type of noise, techniques like spin echo using additional π pulses between neighboring PS UDD T 4 pulses can effectively suppress their negative effects.…”

Section: Resultsmentioning

confidence: 99%

Generation of two-axis countertwisting squeezed spin states via Uhrig dynamical decoupling

Zhang

et al. 2021

Sci. China Inf. Sci.

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We propose a scheme to generate two-axis countertwisting squeezed spin states from a one-axis twisting Hamiltonian via Uhrig dynamical decoupling. The proposed scheme significantly reduces the number of control pulses or requires shorter evolution time compared to previous proposals. The minimum number of applied pulses changes relative to the spin number almost linearly. The proposed scheme significantly relieves the experimental demand on the applied pulses or the evolution time, and we expect it would be within the reach of current spin squeezing experiment.

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Section: Resultsmentioning

confidence: 99%

Generation of two-axis countertwisting squeezed spin states via Uhrig dynamical decoupling

Zhang

et al. 2021

Sci. China Inf. Sci.

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“…These studies have shown that these systems have steady states with very rich phase diagrams [11,14], can undergo dynamical phase transitions [7,18] including self-organized criticality [19] and bistability [20][21][22], as well as emergent quantum synchronization [23][24][25], and for some parameter regimes in the thermodynamic limit, steady states characterized by oscillating observables [15,[26][27][28] in close connection with recently proposed time-crystals [9,29,30]. Spin squeezing has also been a prominent quantity of study in collective systems with strong dissipation [31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 91%

Driven-dissipative quantum dynamics in ultra-long-lived dipoles in an optical cavity

et al. 2019

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We study the quantum dynamics of many-body arrays of two-level atoms in a driven cavity subject to collective decay and interactions mediated by the cavity field. We work in the bad cavity limit accessible, for example, using long-lived electronic clock states of alkaline earth atoms, for which the bare atomic linewidth is much less than the cavity linewidth. In the absence of interactions, our system reduces to previously studied models of collective fluorescence. We show that while interactions do not qualitatively change the steady state properties, they lead to a drastic change in the dynamical properties. We find that, for some interval of driving strengths, the system shows two very distinct types of transient behaviors that depend on the initial state of the system. In particular, there is a parameter regime where the system features oscillatory dynamics with a period of oscillation that becomes much shorter than the duration of the overall transient dynamics as the atom number increases. We use both mean field and exact numerical calculations of the quantum system to investigate the dynamics.

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“…where the effective linear Zeeman splitting p ∝ Ω 2 /∆ with Ω the driving strength of σ +,− microwave field, ∆ the detuning between |F = 1, M F = ±1 and |F = 2, M F = 0 . Third, in a cylindrical trap where the linear term in the dipolar interaction is negligibly small, the Hamiltonian in a small magnetic field becomes (after dropping some constants) [27,32],…”

Section: Hamiltonian Of a Spin-1 Becmentioning

confidence: 99%

Generalized parametric resonance in a spin-1 Bose-Einstein condensate

Xu,

Zhang

2021

Preprint

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We propose a generalized Mathieu's equation (GME) which well describes the dynamics for two different models in spin-1 Bose-Einstein condensates. The stability chart of this GME differs significantly from that of Mathieu's equation and the unstable dynamics under this GME is called generalized parametric resonance. A typical region of ǫ 1 and δ ≈ 0.25 can be used to distinguish these two equations. The GME we propose not only explains the experimental results of Chapman's group [Nat.Commun.7,11233(2016)] in nematic space with a small driving strength, but predicts the behavior in the regime of large driving strength. Besides, the model in spin space we propose, whose dynamics also obeys this GME, can be well tuned such that it is easily implemented in experiments.

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Rebuilding of destroyed spin squeezing in noisy environments

Cited by 7 publications

References 49 publications

Generation of two-axis countertwisting squeezed spin states via Uhrig dynamical decoupling

Generation of two-axis countertwisting squeezed spin states via Uhrig dynamical decoupling

Driven-dissipative quantum dynamics in ultra-long-lived dipoles in an optical cavity

Generalized parametric resonance in a spin-1 Bose-Einstein condensate

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