Solution of one-dimensional Bose Hubbard model in large-$U$ limit

Abstract

The one-dimensional Bose-Hubbard model in large-$U$ limit has been studied via reducing and mapping the Hamiltonian to a simpler one. The eigenstates and eigenvalues have been obtained exactly in the subspaces with fixed numbers of single- and double-occupancies but without multiple-occupancies, and the thermodynamic properties of the system have been calculated further. These eigenstates and eigenvalues also enable us to develop a new perturbation treatment of the model, with which the ground-state energy has been calculated exactly to first order in $1/U$.

References in corpus (17)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Strong-coupling expansions for the pure and disordered bose Hubbard model
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Dynamics and Thermodynamics of the Bose-Hubbard model
• Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
• Characterization of Mott-insulating and superfluid phases in the one-dimensional Bose--Hubbard model
• Finite-temperature properties of hard-core bosons confined on one-dimensional optical lattices
• Expansion of one-dimensional lattice hard-core bosons at finite temperature
• Finite-Temperature Transport in Finite-Size Hubbard Rings in the Strong-Coupling Limit
• Emergent eigenstate solution and emergent Gibbs ensemble for expansion dynamics in optical lattices
• Topological Properties of Ultracold Bosons in One-Dimensional Quasiperiodic Optical Lattice
• Superfluid to Mott transition in a Bose-Hubbard ring: Persistent currents and defect formation
• Strongly repulsive anyons in one dimension
• Kibble-Zurek scaling of the one-dimensional Bose-Hubbard model at finite temperatures
• Statistically induced topological phase transitions in a one-dimensional superlattice anyon-Hubbard model
• Persistent currents in Bose-Bose mixtures after an interspecies interaction quench
• Undamped Bloch Oscillations in the $U\to \infty$ one-dimensional Hubbard model