One-dimensional tunneling of the two-body bound state

2025/10/13 by N. Shypka, Shypka, N., Orest Hryhorchak +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Mechanics and Applications #Advanced Chemical Physics Studies

paper · pdf · doi:10.48550/arxiv.2510.11932

Abstract

We consider bound and scattering states of the one-dimensional dimer formed by two coupled non-identical atoms when one of them also interacts with the zero-range potential located at the origin. By calculating the dimer localized and scattering wave functions, we identify properties of the system without the two-body bound-state collapse. In general, we predict an enhancement of the dimer reflection compared to a single atom, except for a narrow region on the attractive side of the external potential.

Citations

• Few-fermion resonant tunneling and underbarrier trapping in asymmetric potentials
• Two-particle tunneling and the impact of interaction
• Trapped ideal Bose gas with a few heavy impurities
• Tunneling of two interacting atoms from excited states
• Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55)

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• Confinement-induced resonances for the creation of quasi-one-dimensional ultra cold gases of alkali--alkaline-earth dimers