We use exact diagonalization to study an interacting system of N spinless bosons with finite-range Gaussian repulsion, confined in a quasi-two-dimensional harmonic trap with and without an introduced rotation. The diagonalization of the Hamiltonian matrix using Davidson algorithm in subspaces of quantized total angular momentum L z is carried out to obtain the N -body lowest eigenenergy and eigenstate. To bring out the effect of quantum (Bose) statistics and consequent phase stiffness (rigidity) of the variationally obtained many-body wavefunction on various physical quantities, our study spans from few-body ( N = 2) to many-body ( N = 16) systems. Further, to examine the finite-range effect of the repulsive Gaussian potential on many-body ground state properties of the Bose-condensate, we obtain the lowest eigenstate, the critical angular velocity of single vortex state and the quantum correlation (measured) in terms of von Ne...

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具有有限范围高斯斥力的玻色子系统的基态特性：精确对角化研究

我们使用精确对角化来研究N个无旋玻色子与有限范围高斯斥力的相互作用系统，该系统受限于有或没有引入旋转的准二维谐波阱中。使用Davidson算法在量化的总角动量L z的子空间中对哈密顿矩阵进行对角化，以获得N体最低本征能和本征态。为了揭示量子（玻色）统计以及由此获得的多体波函数对各种物理量的相位刚度（刚度）的影响，我们的研究范围从几体（N = 2）到多体（N = 16）系统。此外，要检查排斥高斯势对Bose凝聚物多体基态特性的有限范围影响，我们获得最低的本征态，