Quantum interference-induced stability of repulsively bound pairs of excitations

Abstract

We study the dynamics of two types of pairs of excitations which are bound despite their strong repulsive interaction. One corresponds to doubly occupied sites in one-dimensional Bose-Hubbard systems, the so-called doublons. The other is pairs of neighboring excited spins in anisotropic Heisenberg spin-1/2 chains. We investigate the possibility of decay of the bound pairs due to resonant scattering by a defect or due to collisions of the pairs. We find that the amplitudes of the corresponding transitions are very small. This is a result of destructive quantum interference and explains the stability of the bound pairs.

12 pages, 3 figures

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• Bound states in the one-dimensional two-particle Hubbard model with an impurity
• Impurity in a bosonic Josephson junction: swallowtail loops, chaos, self-trapping and the poor man's Dicke model
• Quasi-soliton scattering in quantum spin chains
• Repulsive to attractive interaction quenches of 1D Bose gas in a harmonic trap
• Bose-Hubbard ladder subject to effective magnetic field: quench dynamics in a harmonic trap
• Fine structures in the spectrum of the open-boundary Heisenberg chain at large anisotropies
• Propagation and jamming dynamics in Heisenberg spin ladders
• Page Curve and Entanglement Dynamics in an Interacting Fermionic Chain
• Realizing non-trivial doublon formation using a quantum computer
• The dynamics of a polariton dimer in a disordered coupled array of cavities