Perfect coherent shift of bound pairs in strongly correlated systems

Abstract

In the present work we extend the concept of coherent shift for the extended Bose-Hubbard model and Fermi-Hubbard model. We present two types of local bound pair (BP) for Bose system and one type for Fermi system. It is shown exactly that the perfect coherent shift can be achieved in such models. We find that for a Bose on-site BP, the perfect coherent shift condition depends on the nearest-neighbor interaction strength and the momentum of the incident single particle wavepacket, while for the other two types of BPs, it is independent of the initial state in the proposed systems.

arXiv comment5 pages, 2 figures

References in corpus (11)

• Repulsively bound atom pairs in an optical lattice
• Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
• Two-particle states in the Hubbard model
• Quantum liquid of repulsively bound pairs of particles in a lattice
• Scattering resonances and two-particle bound states of the extended Hubbard model
• Coherent control of a self-trapped Bose-Einstein condensate
• Coherent shift of localized bound pair in Bose Hubbard model
• Quantum dynamics of repulsively bound atom pairs in the Bose-Hubbard model
• Impurity Scattering of Wave Packets on a Lattice
• Rigorous results for tight-binding networks: particle trapping and scattering
• Detecting multi-atomic composite states in optical lattices

Cited by in corpus (4)

• Scaling behavior and phase diagram of a PT-symmetric non-Hermitian Bose-Hubbard system
• Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical lattice
• Non-Hermitian heat engine with all-quantum-adiabatic-process cycle
• Flat band and $\eta$-pairing states in one-dimensional Moiré Hubbard model