1,024 research outputs found
Coalescence of Two Impurities in a Trapped One-dimensional Bose Gas
We study the ground state of a one-dimensional (1D) trapped Bose gas with two
mobile impurity particles. To investigate this set-up, we develop a variational
procedure in which the coordinates of the impurity particles are slow-like
variables. We validate our method using the exact results obtained for small
systems. Then, we discuss energies and pair densities for systems that contain
of the order of one hundred atoms. We show that bosonic non-interacting
impurities cluster. To explain this clustering, we calculate and discuss
induced impurity-impurity potentials in a harmonic trap. Further, we compute
the force between static impurities in a ring ({\it {\`a} la} the Casimir
force), and contrast the two effective potentials: the one obtained from the
mean-field approximation, and the one due to the one-phonon exchange. Our
formalism and findings are important for understanding (beyond the polaron
model) the physics of modern 1D cold-atom systems with more than one impurity.Comment: 10 pages, 6 figures, published versio
Hyperspherical Treatment of Strongly-Interacting Few-Fermion Systems in One Dimension
We examine a one-dimensional two-component fermionic system in a trap,
assuming that all particles have the same mass and interact through a strong
repulsive zero-range force. First we show how a simple system of three strongly
interacting particles in a harmonic trap can be treated using the
hyperspherical formalism. Next we discuss the behavior of the energy for the
N-body system.Comment: 5 pages. Original paper for EPJ ST in connection with the workshop
BEC2014 28-31 May 2014 in Levico Terme, Ital
- …