Finite-range corrections to the thermodynamics of the one-dimensional Bose gas

Anno: 2017

Autori: Cappellaro A., Salasnich L.

Affiliazione autori: 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.

Giornale/Rivista: PHYSICAL REVIEW A

Volume: 96 (6)      Da Pagina: 63610-1  A: 63610-5

Maggiori informazioni: The authors acknowledge partial support from the 2016 BIRD project Superfluid properties of Fermi gases in optical potentials of the University of Padova. The authors thank Giacomo Bighin and Flavio Toigo for enlightening discussions.
Parole chiavi: Quantum Phase-transition; Bosons; Renormalization; Regularization; Scattering; System; Atoms
DOI: 10.1103/PhysRevA.96.063610

Citazioni: 9
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