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One-dimensional behavior of dilute, trapped Bose gases
Probability| Speaker: | Robert Seiringer, Princeton |
| Location: | 693 Kerr |
| Start time: | Fri, Jan 23 2004, 4:10PM |
Description
Recent experimental and theoretical work has shown that
there are conditions in which trapped, low-density Bose gases behave like
one-dimensional systems. These are typically described by a model
of a 1D Bose gas with delta-function interaction, solved exactly by Lieb
and Liniger long ago. This one-dimensional behavior is an intrinsically
quantum-mechanical phenomenon. We give a rigorous proof of it, as far as
the ground state energy and particle density is concerned, and determine
the relevant parameter regimes. In particular, we derive the 1D Bose gas
with delta-function interaction as a limit of a 3D Bose gas of hard
spheres.