Finite-range corrections to the thermodynamics of the one-dimensional Bose gas
Authors: Cappellaro A., Salasnich L.
Autors Affiliation: Univ Padua, Dipartimento Fis & Astron Galileo Galilei, Via Marzolo 8, I-35131 Padua, Italy; Univ Padua, CNISM, Via Marzolo 8, I-35131 Padua, Italy; CNR INO, Via Nello Carrara, I-150019 Sesto Fiorentino, Italy
Abstract: The Lieb-Liniger equation of state accurately describes the zero-temperature universal properties of a dilute one-dimensional Bose gas in terms of the s-wave scattering length. For weakly interacting bosons we derive nonuniversal corrections to this equation of state taking into account finite-range effects of the interatomic potential. Within the finite-temperature formalism of functional integration we find a beyond-mean-field equation of state which depends on scattering length and effective range of the interaction potential. Our analytical results, which are obtained performing dimensional regularization of divergent zero-point quantum fluctuations, show that for the one-dimensional Bose gas thermodynamic quantities such as pressure and sound velocity are modified by changing the ratio between the effective range and the scattering length.
Journal/Review: PHYSICAL REVIEW A
Volume: 96 (6) Pages from: 063610-1 to: 063610-5
KeyWords: QUANTUM PHASE-TRANSITION; BOSONS; RENORMALIZATION; REGULARIZATION; SCATTERING; SYSTEM; ATOMSDOI: 10.1103/PhysRevA.96.063610Citations: 5data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2021-10-24References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here