Quantum dynamics of one and two bosonic atoms in a combined tight-binding periodic and weak parabolic potential

Abstract

Strongly interacting bosonic particles in a tight-binding periodic potential superimposed by a weak parabolic trap is a paradigm for many cold atom experiments. Here, after revisiting the single particle problem, we study interaction-bound dimers of bosonic atoms in the combined lattice and parabolic potential. We consider both repulsively- and attractively-bound dimers and find pronounced differences in their behaviour. We identify conditions under which attractive and repulsive dimers exhibit analogous dynamics. Our studies reveal that coherent transport and periodic oscillations of appropriately prepared one- and two-atom wavepackets can be achieved, which may facilitate information transfer in optical lattice based quantum computation schemes.

6 pages, 6 figures

References in corpus (4)

• Repulsively bound atom pairs in an optical lattice
• Quantum liquid of repulsively bound pairs of particles in a lattice
• Single-atom density of states of an optical lattice
• Tunnelling couplings in discrete lattices, single particle band structure and eigenstates of interacting atom pairs

Cited by in corpus (10)

• Two-particle states in the Hubbard model
• Coherent shift of localized bound pair in Bose Hubbard model
• Polarons and bipolarons in a two-dimensional square lattice
• Dynamics and symmetries of a repulsively bound atom pair in an infinite optical lattice
• Sudden death of particle-pair Bloch oscillation and unidirectional propagation in a one-dimensional driven optical lattice
• Synthetic ${\mathbb{Z}}_2$ gauge theories based on parametric excitations of trapped ions
• Single-particle Analysis of Non-interacting Ultracold Bosons in Amplitude Modulated Parabolic Optical Lattice
• Fast transfer and efficient coherent separation of bound cluster in the extended Hubbard model
• The dynamics of a polariton dimer in a disordered coupled array of cavities
• Supercorrelated decay in a quasiperiodic nonlinear waveguide: From Markovian to non-Markovian transitions