Exact prefactors in static and dynamic correlation functions of one-dimensional quantum integrable models: Applications to the Calogero-Sutherland, Lieb-Liniger, and XXZ models

Article

关键词: SPIN-SPIN INTERACTIONS;    INTERACTING BOSE-GAS;    GROUND-STATE;    1-DIMENSIONAL CHAIN;    WAVE-FUNCTIONS;    FRACTIONAL STATISTICS;    IMPENETRABLE BOSONS;    FORM-FACTORS;    BODY SYSTEM;    FERMI GAS;   

DOI  :  10.1103/PhysRevB.85.155136

来源: SCIE

【 摘 要 】

In this paper, we demonstrate a recently developed technique which addresses the problem of obtaining nonuniversal prefactors of the correlation functions of one-dimensional (1D) systems at zero temperature. Our approach combines the effective field theory description of generic 1D quantum liquids with the finite-size scaling of form factors (matrix elements) which are obtained using microscopic techniques developed in the context of integrable models. We thus establish exact analytic forms for the prefactors of the long-distance behavior of equal-time correlation functions as well as prefactors of singularities of dynamic response functions. In this paper, our focus is on three specific integrable models: the Calogero-Sutherland, Lieb-Liniger, and XXZ models.

【 授权许可】

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