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Feshbach resonance without a closed-channel bound state.

Y Avishai1, Y B Band, M Trippenbach

  • 1Department of Physics and the Ilse Katz Center for Nano-Science, Ben-Gurion University, Beer-Sheva 84105, Israel and Department of Physics, Hong Kong University of Science and Technology, Kowloon, Hong Kong.

Physical Review Letters
|October 29, 2013
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Summary
This summary is machine-generated.

Feshbach resonance can occur without bound states in the closed channel, expanding ultracold atom manipulation. This study derives analytic expressions for scattering properties and resonance conditions.

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Area of Science:

  • Atomic, Molecular, and Optical Physics
  • Quantum Mechanics
  • Condensed Matter Theory

Background:

  • Feshbach resonances are crucial for controlling ultracold atomic gases.
  • Understanding resonance conditions, especially in the absence of bound states, is key for advanced applications.
  • Analytic models are needed to precisely describe scattering phenomena.

Purpose of the Study:

  • To analyze Feshbach resonance physics using analytic expressions for scattering phase shift and scattering length.
  • To investigate the conditions under which Feshbach resonance can occur, even without bound states in the closed channel.
  • To elucidate the dependence of scattering length sign on coupling strength in the unitary limit.

Main Methods:

  • Derivation of analytic expressions for s-wave scattering phase shift and scattering length within a two-channel tight-binding model.
  • Unified treatment of bound states and resonances using the Jost function.
  • Analysis of Feshbach resonance conditions under strong interchannel coupling.

Main Results:

  • Feshbach resonance can occur even when the closed channel lacks a bound state, given strong interchannel coupling.
  • Analytic expressions for background scattering length, resonance magnetic field, and energy shift were derived.
  • The sign dependence of scattering length on coupling strength in the unitary limit was elucidated.

Conclusions:

  • The findings extend the applicability of Feshbach resonance manipulation to a broader range of ultracold atomic systems.
  • The derived analytic expressions provide valuable tools for theoretical and experimental investigations of Feshbach resonances.
  • This work deepens the understanding of quantum scattering phenomena in interacting many-body systems.