Quantum phases of the biased two-chain-coupled Bose-Hubbard Ladder

Abstract

We investigate the quantum phases of bosons in a two-chain-coupled ladder. This bosonic ladder is generally in a biased configuration, meaning that the two chains of the ladder can have dramatically different on-site interactions and potential energies. Adopting the numerical density-matrix renormalization-group method, we analyze the phase transitions in various parameter spaces. We find signatures of both insulating-to-superfluid and superfluid-to-insulating quantum phase transitions as the interchain tunnelling is increased. Interestingly, tunning the interaction to some intermediate values, the system can exhibit a reentrant quantum phase transition between insulating and superfluid phases. We show that for infinite interaction bias, the model is amenable to some analytical treatments, whose prediction about the phase boundary is in great agreement with the numerical results. We finally clarify some critical parameters which separate the system into regimes with distinct phase behaviours, and briefly compare typical properties of the biased and unbiased bosonic ladder systems. Our work enriches the Bose-Hubbard physics.

10 pages, 7 figures

References in corpus (20)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Quantum phase transitions of light
• A lattice of double wells for manipulating pairs of cold atoms
• Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice
• Realising the Symmetry-Protected Haldane Phase in Fermi-Hubbard Ladders
• Cold Atoms and Molecules in Self-Assembled Dipolar Lattices
• Scaling of the gap, fidelity susceptibility, and Bloch oscillations across the superfluid to Mott insulator transition in the one-dimensional Bose-Hubbard model
• Phase diagram of hard-core bosons on clean and disordered 2-leg ladders: Mott insulator - Luttinger liquid - Bose glass
• Quantum phases of bosons in double-well optical lattices
• Non-equilibrium many-body effects in driven nonlinear resonator arrays
• Bose-Hubbard triangular ladder in an artificial gauge field
• Magnetic ordering induced by interladder coupling in the spin-1/2 Heisenberg two-leg ladder antiferromagnet C${}_9$H${}_{18}$N${}_2$CuBr${}_4$
• Semiclassical Approach to Competing Orders in Two-leg Spin Ladder with Ring-Exchange
• Signatures of the superfluid to Mott insulator transition in cold bosonic atoms in a one dimensional optical lattice
• Scaling Theories of Kosterlitz-Thouless Phase Transitions
• Superradiance-induced multistability in driven Rydberg lattice gases
• Spin-tensor Meissner currents of ultracold bosonic gas in an optical lattice
• Quantum phases of constrained bosons on a two-leg Bose-Hubbard ladder
• $Z_2\times Z_2$ symmetry and $Z_4$ Berry phase of bosonic ladder

Cited by in corpus (1)

• Unconventional edge states in a two-leg ladder