Effective field theory of bosons with finite-range interaction in a disordered environment

Year: 2020

Authors: Salasnich L., Cappellaro A.

Autors Affiliation: Dipartimento di Fisica e Astronomia “Galileo Galilei” and CNISM, Università di Padova, via Marzolo 8, 35131 Padova, Italy;
CNR-INO, via Nello Carrara, 1 – 50019 Sesto Fiorentino, Italy

Abstract: We investigate the low-temperature properties of an ultracold gas made of bosonic alkali-metal atoms with finite-range interaction under the effect of a disordered environment. The statistical characterization of the disorder is investigated within an effective-field-theory formalism for a generic spatial dimension d. Moving to d = 3, where all the arising divergences are properly regularized, we focus on the depletion of both the condensate and superfluid densities. At zero temperature we obtain meaningful analytical formulas for the condensate fraction and the superfluid fraction which take into account the interplay among scattering length, effective range, and disorder strength.


Volume: 101 (5)      Pages from: 053628-1  to: 053628-8

KeyWords: Bosons; finite-range interaction; disorder
DOI: 10.1103/PhysRevA.101.053628

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