Escape dynamics of Bose-Hubbard dimer out of a trap
arXiv:1311.2762 · doi:10.1103/PhysRevA.89.063612
Abstract
We consider a potential scattering of Bose-Hubbard dimer in 1D optical lattice. A numerical approach based on effective non-Hermitian Hamiltonian has been developed for solving the scattering problem. It allows to compute the tunneling and dissociation probabilities for arbitrary shape of the potential barrier and arbitrary kinetic energy of the dimer. The developed approach has been used to address the problem of two-particle decay out of a trap. In particular, it is shown that the presence of dissociation channels significantly decreases non-escape probability due to single-particle escape to those channels.
21 pages, 7 figures
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- Dynamics of a few interacting bosons escaping from an open well
- Momentum correlations of a few ultra-cold bosons escaping from an open well
- Two Rydberg-dressed atoms escaping from an open well
- Generation of robust entangled states in a non-hermitian periodically driven two-band Bose-Hubbard system