Impurity properties in quasi-one-dimensional unitary Bose gas

Orest Hryhorchak, G. Panochko, V. Pastukhov

B Kh Turmanov, F. Kh. Abdullaev, F.Z. Isakov

Neil J. Robinson, Robert Konik

Timothy C. Padmore

G. E. Astrakharchik, D. Blume, S. Giorgini +1 more

Bose gases confined in highly elongated harmonic traps are investigated over a wide range of interaction strengths using quantum Monte Carlo techniques. We find that the properties of a Bose gas under tight transverse confinement are well reproduced by a 1D model Hamiltonian with contact interactions. We point out the existence of a unitary regime, where the properties of the quasi-1D Bose gas become independent of the actual value of the 3D scattering length a(3D). In this unitary regime, the energy of the system is well described by a hard-rod equation of state. We investigate the stability of quasi-1D Bose gases with positive and negative a(3D).

Orest Hryhorchak, V. Pastukhov

In this article, we formulate a general scheme for the calculation of the thermodynamic properties of an ideal Bose gas with one or two immersed static impurities, when the bosonic particles are trapped in a harmonic potential with either a quasi-1D or quasi-2D configuration. The binding energy of a single impurity and the medium-induced Casimir-like forces between the two impurities are numerically calculated for a wide range of temperatures and boson–impurity interaction strengths.