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Low-density, one-dimensional quantum gases in a split trap

Th. Busch·G. Huyet
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Abstract

We investigate degenerate quantum gases in one dimension trapped in a harmonic potential that is split in the centre by a pointlike potential. Since the single particle eigenfunctions of such a system are known for all strengths of the central potential, the dynamics for non-interacting fermionic gases and low-density, strongly interacting bosonic gases can be investigated exactly using the Fermi-Bose mapping theorem. We calculate the exact many-particle ground-state wave-functions for both particle species, investigate soliton-like solutions, and compare the bosonic system to the well-known physics of Bose gases described by the Gross-Pitaevskii equation. We also address the experimentally important questions of creation and detection of such states.

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Th. Busch, G. Huyet. 2003-01-13. Low-density, one-dimensional quantum gases in a split trap. https://doi.org/10.1088/0953-4075%2F36%2F12%2F313

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