Spinful bosons in an optical lattice

Abstract

We analyze the behavior of cold spin-1 particles with antiferromagnetic interactions in a one-dimensional optical lattice using density matrix renormalization group calculations. Correlation functions and the dimerization are shown and we also present results for the energy gap between ground state and the spin excited states. We confirm the anticipated phase diagram, with Mott-insulating regions of alternating dimerized S=1 chains for odd particle density versus on-site singlets for even density. We find no evidence for any additional ordered phases in the physically accessible region, however for sufficiently large spin interaction, on-site singlet pairs dominate leading, for odd density, to a breakdown of the Mott insulator or, for even density, a real-space singlet superfluid.

Minor revisions and clarifications

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Cited by in corpus (22)

• Tensor network states and algorithms in the presence of a global U(1) symmetry
• Tensor network states and algorithms in the presence of a global SU(2) symmetry
• Magnetic and Superfluid Transitions in the d=1 Spin-1 Boson Hubbard Model
• Dynamics of spin-1 bosons in an optical lattice: spin mixing, quantum phase revival spectroscopy and effective three-body interactions
• First-order phase transition and anomalous hysteresis of Bose gases in optical lattices
• Interacting spin-1 bosons in a two-dimensional optical lattice
• Phase diagram of the SO(n) bilinear-biquadratic chain from many-body entanglement
• Magnetic phase transitions of spin-1 ultracold bosons in a cubic optical lattice
• Anderson tower of states and nematic order of spin-1 bosonic atoms on a 2D lattice
• Mott Transition and Spin Structures of Spin-1 Bosons in Two-Dimensional Optical Lattice at Unit Filling
• Strong-coupling expansion for the spin-1 Bose-Hubbard model
• Phase diagram of spin-1/2 bosons in one-dimensional optical lattice
• Mott lobes of the $S=1$ Bose-Hubbard model with three-body interactions
• Dynamical instability in the S=1 Bose-Hubbard model
• Phase Diagrams of Antiferromagnetic Spin-1 Bosons on Square Optical Lattice with the Quadratic Zeeman Effect
• The case of SU$(3)$ criticality in spin-2 chains
• Phase diagrams and multistep condensations of spin-1 bosonic gases in optical lattices
• Isentropes of spin-1 bosons in an optical lattice
• Simulation of Anyons Using Symmetric Tensor Network Algorithms
• Spin-1 Bose-Hubbard model with two- and three-body interactions
• Spin-flip induced superfluidity in a ring of spinful hard-core bosons
• Spinor bosons in optical superlattices: a numerical study