Correlated hopping of bosonic atoms induced by optical lattices

Abstract

In this work we analyze a particular setup with ultracold atoms trapped in state-dependent lattices. We show that any asymmetry in the contact interaction translates into one of two classes of correlated hopping. After deriving the effective lattice Hamiltonian for the atoms, we obtain analytically and numerically the different phases and quantum phase transitions. We find for weak correlated hopping both Mott insulators and charge density waves, while for stronger correlated hopping the system transitions into a pair superfluid. We demonstrate that this phase exists for a wide range of interaction asymmetries and has interesting correlation properties that differentiate it from an ordinary atomic Bose-Einstein condensate.

24 pages with 9 figures, to appear in New Journal of Physics

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• Correlated hopping of bosonic atoms induced by optical lattices
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• Observing dynamical currents in a non-Hermitian momentum lattice
• Correlated hopping of bosonic atoms induced by optical lattices
• Pair supersolid of the extended Bose-Hubbard model with atom-pair hopping on the triangular Lattice
• Emergence of a new pair-coherent phase in many-body quenches of repulsive bosons
• Extended Bose-Hubbard model with pair hopping on the triangular lattice
• Statistics tuned entanglement of the boundary modes in coupled Su-Schrieffer-Heeger chains
• Effect of correlated hopping on thermoelectric properties: Exact solutions for the Falicov-Kimball model
• Interaction-Induced Second-Order Skin Effect
• The role of density-dependent magnon hopping and magnon-magnon repulsion in ferrimagnetic spin-(1/2, $S$) chains in a magnetic field
• Statistics-tuned phases of pseudofermions in one dimension
• Clustered Superfluids in the One Dimensional Bose-Hubbard model with extended correlated hopping
• Resonant enhancement of thermoelectric properties by correlated hopping for the Falicov-Kimball model on Bethe lattice
• Anderson-Mott transition in a disordered Hubbard model with correlated hopping
• Bosonization study of a generalized statistics model with four Fermi points
• Nonlocal correlations in the optical conductivity spectra
• Thermoelectric properties of Mott insulator with correlated hopping at microdoping