Generalized confinement-induced resonances(CIR) in quasi-1D system
ORAL
Abstract
Reduced dimension systems have been realized in ultracold atomic gases to explore new physics, and the scattering properties of atoms in these systems are particularly interesting. Confinement-induced resonances occur in quasi-1D systems when the quasi-1D scattering phase shift of a particle scattered by a infinitely massive particle in the center of a quasi-1D tube jumps by Pi. In this project, we analytically derive the position of this quasi-1D CIR for different transverse trapping potentials at low energy under the frame transformation approximation [2], which generalizes the well-known results for an isotropic harmonic oscillator trap in the transverse plane [1,2]. We isolate the contribution from all the closed channels by regularizing a divergent summation of all closed channel components. We have verified our analytical results for a square-hard-wall transverse trap system numerically using short range model potentials, and shows finite range corrections of the zero-range model. [1] M. Olshanii, Phys. Rev. Lett. 81 938 (1998) [2] B. Granger and D. Blume, Phys. Rev. Lett. 92 13(2004)
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Authors
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Chen Zhang
JILA, physics department of University of Colorado at Boulder, physics department of Purdue University
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Chris Greene
Dept of Physics, Purdue University, Department of Physics, Purdue University, West Lafayette, Indiana 47907, USA, Purdue University, JILA, physics department of University of Colorado at Boulder, physics department of Purdue University, Physics Department Purdue University, Department of Physics, Purdue University, Department of Physics, Purdue University, Department of Physics and JILA, University of Colorado