A simple model for interacting Bosons in (quasi) one dimensional systems

Speaker
Hagar Veksler
Date
12/11/2015 - 15:30 - 14:30Add to Calendar 2015-11-12 14:30:00 2015-11-12 15:30:00 A simple model for interacting Bosons in (quasi) one dimensional systems Interactions in Bose gas are usually modeled by a delta function potential (i.e., each pair of particles interacts only where the positions of the two particles coincide). This description ignores the range of interaction. We calculated the effects of the finite range of the interactions. Inspired by Van-der Waals potential, we proposed a one dimensional interaction potential of 3 delta functions, the central one is repulsive and the two peripheral ones are attractive. This model introduces a length scale for the interaction without giving up the mathematical simplicity of using delta functions. By generalizing the work of Lieb and Liniger, we found an approximate Bethe-ansatz solution for the spectrum of N interacting Bosons moving on a ring and showed that the effect of interaction range might be crucial in some cases. Joint work with Shmuel Fishman and Wolfgang Ketterle. Resnick Building (209), room 210 Department of Physics physics.dept@mail.biu.ac.il Asia/Jerusalem public
Place
Resnick Building (209), room 210
Abstract

Interactions in Bose gas are usually modeled by a delta function potential
(i.e., each pair of particles interacts only where the positions of the two
particles coincide). This description ignores the range of interaction. We
calculated the effects of the finite range of the interactions. Inspired by
Van-der Waals potential, we proposed a one dimensional interaction potential of 3
delta functions, the central one is repulsive and the two peripheral ones
are attractive. This model introduces a length scale for the interaction
without giving up the mathematical simplicity of using delta functions. By
generalizing the work of Lieb and Liniger, we found an approximate Bethe-ansatz
solution for the spectrum of N interacting Bosons moving on a ring and showed
that the effect of interaction range might be crucial in some cases.


Joint work with Shmuel Fishman and Wolfgang Ketterle.

Last Updated Date : 20/10/2015