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arXiv 2102.13313cond-mat.quant-gasnlin.PS
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准一维偶极超固体的振动

Oscillations of a quasi-one-dimensional dipolar supersolid

B. Kh. Turmanov, B. B. Baizakov, F. Kh. Abdullaev, M. Salerno

摘要:

在Lee-Huang-Yang(LHY)理论框架下,考虑了两种可能的超固态实现机制--三体原子排斥相互作用和量子涨落,研究了准一维偶极玻色-爱因斯坦凝聚体中超固态的性质.所提出的理论模型,基于能量泛函的最小化,允许评估任意一组参数的SS的幅度在管理Gross-Pitaevskii方程(GPE)。为了探索SS的动力学,我们首先在不同的设置,包括周期性边界条件,盒状陷阱和抛物势,然后施加微扰的基态的数值构造。在扰动超固体的振荡中,我们观察到SS的关键表现形式,即超流部分通过系统的结晶组分的自由流动。通过对GPE的数值模拟,确定了与超流分量和波函数的结晶分量相关的超固体的两个不同的振荡频率。

英文摘要:

The properties of a supersolid state (SS) in quasi-one-dimensional dipolar Bose-Einstein condensate is studied, considering two possible mechanisms of realization - due to repulsive three-body atomic interactions and quantum fluctuations in the framework of the Lee-Huang-Yang (LHY) theory. The proposed theoretical model, based on minimization of the energy functional, allows evaluating the amplitude of the SS for an arbitrary set of parameters in the governing Gross-Pitaevskii equation (GPE). To explore the dynamics of the SS first, we numerically construct its ground state in different settings, including periodic boundary conditions, box-like trap and parabolic potential, then impose a perturbation. In oscillations of the perturbed supersolid we observe the key manifestation of SS, namely the free flow of the superfluid fraction through the crystalline component of the system. Two distinct oscillation frequencies of the supersolid associated with the superfluid fraction and crystalline components of the wave function are identified from numerical simulations of the GPE.

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