Complete particle-pair annihilation as a dynamical signature of the spectral singularity
arXiv:1401.3108 · doi:10.1016/j.aop.2014.06.022
Abstract
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.
8 pages, 2 figures
References in corpus (8)
- Exactly solvable PT-symmetric Hamiltonian having no Hermitian counterpart
- Delta-Function Potential with a Complex Coupling
- Interface between Hermitian and non-Hermitian Hamiltonians in a model calculation
- Scattering theory with localized non-Hermiticities
- Spectral singularities in PT-symmetric periodic finite-gap systems
- Scattering theory using smeared non-Hermitian potentials
- Fundamental length in quantum theories with PT-symmetric Hamiltonians
- Fundamental length in quantum theories with PT-symmetric Hamiltonians II: The case of quantum graphs
Cited by in corpus (12)
- Asymmetric transmission through a flux-controlled non-Hermitian scattering center
- Lasing Threshold Condition for Oblique TE and TM Modes, Spectral Singularities, and Coherent Perfect Absorption
- Wave emission and absorption at spectral singularities
- Spectral Singularities in the TE and TM modes of a PT-Symmetric Slab System: Optimal conditions for realizing a CPA-Laser
- Nonlinear Spectral Singularities and Laser Output Intensity
- Spectral singularities and tunable slab lasers with 2D material coating
- Transmission phase lapse in the non-Hermitian Aharonov-Bohm interferometer near the spectral singularity
- Non-Hermitian description of the dynamics of inter-chain pair tunnelling
- Solving scattering problems in the half-line using methods developed for scattering in the full line
- Spectral Singularities, Threshold Gain, and Output Intensity for a Slab Laser with Mirrors
- Spectral singularity in composite systems and simulation of a resonant lasing cavity
- Spectral singularities and threshold gain of a slab laser under illumination of a focused Gaussian beam