Truncated Calogero-Sutherland models

Article

关键词: MANY-BODY PROBLEM;    NEAREST-NEIGHBOR INTERACTIONS;    ONE-DIMENSION;    FRACTIONAL-STATISTICS;    ARBITRARY DIMENSIONS;    IMPENETRABLE BOSONS;    UNIFIED VIEW;    IDEAL-GAS;    PARTICLES;    SYSTEMS;   

DOI  :  10.1103/PhysRevB.95.205135

来源: SCIE

【 摘 要 】

A one-dimensional quantum many-body system consisting of particles confined in a harmonic potential and subject to finite-range two-body and three-body inverse-square interactions is introduced. The range of the interactions is set by truncation beyond a number of neighbors and can be tuned to interpolate between the Calogero-Sutherland model and a system with nearest and next-nearest neighbors interactions discussed by Jain and Khare. The model also includes the Tonks-Girardeau gas describing impenetrable bosons as well as an extension with truncated interactions. While the ground state wave function takes a truncated Bijl-Jastrow form, collective modes of the system are found in terms of multivariable symmetric polynomials. We numerically compute the density profile, one-body reduced density matrix, and momentum distribution of the ground state as a function of the range r and the interaction strength.

【 授权许可】

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