2014/01/14 by G.R. Li, G. R. Li, X.Z. Zhang +2 · 12 citations
Physics and Astronomy · #Amplitude #Annihilation #Boson #Cold Atom Physics and Bose-Einstein Condensates #Fermion #Quantum chaos and dynamical systems #Quantum many-body systems #Signature (topology) #Singularity #Spin (aerodynamics) #Wave packet #quant-ph
paper · pdf · doi:10.1016/j.aop.2014.06.022
published in Annals of Physics 349, 288-296 (Elsevier BV) · 8 pages, 2 figures
arxiv created 2014/01/14 · openalex publication_date 2014/06/26 · arxiv updated 2014/12/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Motivated by the physical relevance of a spectral singularity of interacting many-particle system, we explore the dynamics of two bosons as well as fermions in one-dimensional system with imaginary delta interaction strength. Based on the exact solution, it shows that the two-particle collision leads to amplitude-reduction of the wave function. For fermion pair, the amplitude-reduction depends on the spin configuration of two particles. In both cases, the residual amplitude can vanish when the relative group velocity of two single-particle Gaussian wave packets with equal width reaches the magnitude of the interaction strength, exhibiting complete particle-pair annihilation at the spectral singularity.