Volume 123, Number 3, August 2018
|Number of page(s)||6|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||03 September 2018|
Variational approach for interacting ultra-cold atoms in arbitrary one-dimensional confinement
1 Institute of Physics, Jan Kochanowski University - ul. Świętokrzyska 15, PL-25406 Kielce, Poland
2 Institute of Physics, Polish Academy of Sciences - Aleja Lotnikow 32/46, PL-02668 Warsaw, Poland
Received: 18 April 2018
Accepted: 3 August 2018
Standard analytical construction of the many-body wave function of interacting particles in one dimension, beyond mean-field theory, is based on the Jastrow approach. The many-body interacting ground state is build up from the ground state of the non-interacting system and the product of solutions of the corresponding interacting two-body problem. However, this is possible only if the center-of-mass motion is decoupled from the mutual interactions. In our work, based on the general constraints given by contact nature of the atom-atom interactions, we present an alternative approach to the standard construction of the pair-correlation wave function. Within the proposed ansatz, we study the many-body properties of trapped bosons as well as fermionic mixtures and we compare these predictions with the exact diagonalization approach in a wide range of particle numbers, interaction strengths, and different trapping potentials.
PACS: 67.85.-d – Ultracold gases, trapped gases / 05.30.Jp – Boson systems / 05.30.Fk – Fermion systems and electron gas
© EPLA, 2018
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