Complex contact interaction for systems with short-range two-body loss

Abstract

Contact interaction is a fundamental concept that appears in various areas of physics. It simplifies physical models by replacing the detailed short-range interaction with a zero-range contact potential which reproduces the same low-energy scattering parameter, i.e. the $s$-wave scattering length. In this work, we generalize this concept to a system with short-range two-body loss. We show that the short-range two-body loss can effectively be replaced by a zero-range complex contact potential with proper regularization characterized by a complex scattering length. We develop appropriate ways to regularize this potential in the Lindblad master equation and apply them to the dynamic problem of Bose-Einstein condensate with weak interaction and two-body loss.

6 pages, 1 figure

References in corpus (12)

• Dissipation induced Tonks-Girardeau gas in an optical lattice
• Feshbach resonances in ultracold atomic and molecular collisions: threshold behaviour and suppression of poles in scattering lengths
• Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas
• The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas
• Strong correlations in lossy one-dimensional quantum gases: from the quantum Zeno effect to the generalized Gibbs ensemble
• Breakdown of Tan's relation in lossy one-dimensional Bose gases
• Lindblad Equation for the Inelastic Loss of Ultracold Atoms
• The one-dimensional Bose gas with strong two-body losses: the effect of the harmonic confinement
• SU(1,1) echoes for breathers in quantum gases
• Efimov states embedded in the three-body continuum
• Effective scattering and Efimov physics in the presence of two-body dissipation
• Losses in interacting quantum gases: ultra-violet divergence and its regularization

Cited by in corpus (9)

• Universality and two-body losses: lessons from the effective non-Hermitian dynamics of two particles
• Efimov physics in the complex plane
• Weakly interacting Bose gas with two-body losses
• Dissipative Superfluidity in a Molecular Bose-Einstein Condensate
• Local Non-Hermitian Hamiltonian Formalism for Dissipative Fermionic Systems and Loss-Induced Population Increase in Fermi Superfluids
• Fate of thermalization of ultracold fermions with two-body dissipation
• Dissipation Driven Coherent Dynamics Observed in Bose-Einstein Condensates
• Fragmentation Temperature of 1D and 3D Quantum Droplets in a BEC Mixture
• Phenomenological model of decaying Bose polarons