Mott transition in a two-leg Bose-Hubbard ladder under an artificial magnetic field
arXiv:1411.0749 · doi:10.1103/PhysRevA.91.013629
Abstract
We consider the Bose-Hubbard model on a two-leg ladder under an artificial magnetic field, and investigate the superfluid-to-Mott insulator transition in this setting. Recently, this system has been experimentally realized [M.Atala \textit{et al.}, Nature Physics \textbf{10}, 588--593 (2014)], albeit in a parameter regime that is far from the Mott transition boundary. Depending on the strength of the magnetic field, the single-particle spectrum has either a single ground state or two degenerate ground states. The transition between these two phases is reflected in the many-particle properties. We first investigate these phases through the Bogoliubov approximation in the superfluid regime and calculate the transition boundary for weak interactions. For stronger interactions the system is expected to form a Mott insulator. We calculate the Mott transition boundary as a function of the magnetic field and interleg coupling with mean-field theory, strong-coupling expansion and density matrix renormalization group (DMRG). Finally, using the DMRG, we investigate the particle-hole excitation gaps of this system at different filling factors and find peaks at simple fractions indicating the possibility of correlated phases.
arXiv comment10 pages, 9 figures
References in corpus (18)
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Synthetic magnetic fields for ultracold neutral atoms
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Rapidly Rotating Atomic Gases
- Observation of the Meissner effect with ultracold atoms in bosonic ladders
- Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
- The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
- Strong-coupling expansions for the pure and disordered bose Hubbard model
- Phases of the one-dimensional Bose-Hubbard model
- Density matrix renormalization group algorithms with a single center site
- Phase diagram of the bose Hubbard model
- Chiral Ladders and the Edges of Chern Insulators
- Reaching Fractional Quantum Hall States with Optical Flux Lattices
- Composite Fermion Theory for Bosonic Atoms in Optical Lattices
- Theory of Bosons in two-leg ladders with large magnetic fields
- Phase Boundary of the Boson Mott Insulator in a Rotating Optical Lattice
- Strong-coupling perturbation theory for the two-dimensional Bose-Hubbard model in a magnetic field
- Signatures of the superfluid to Mott insulator transition in cold bosonic atoms in a one dimensional optical lattice
Cited by in corpus (39)
- Spontaneous increase of magnetic flux and chiral-current reversal in bosonic ladders: Swimming against the tide
- Magnetic crystals and helical liquids in alkaline-earth fermionic gases
- Symmetry-broken states in a system of interacting bosons on a two-leg ladder with a uniform Abelian gauge field
- Chiral currents in one-dimensional fractional quantum Hall states
- Persisting Meissner state and incommensurate phases of hard-core boson ladders in a flux
- Incommensurate phases of a bosonic two-leg ladder under a flux
- Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
- Population-imbalance instability in a Bose-Hubbard ladder in the presence of a magnetic flux
- Universal Hall Response in Synthetic Dimensions
- Analytical approach to a bosonic ladder subject to a magnetic field
- Bosons with long range interactions on two-leg ladders in artificial magnetic fields
- Interacting bosonic flux ladders with a synthetic dimension: Ground-state phases and quantum quench dynamics
- Quantum phase transitions of a two-leg bosonic ladder in an artificial gauge field
- Chiral Mott insulators in frustrated Bose-Hubbard models on ladders and two-dimensional lattices: a combined perturbative and density matrix renormalization group study
- Mesoscopic Vortex-Meissner currents in ring ladders
- Extended Bose Hubbard model for two leg ladder systems in artificial magnetic fields
- Bose-Hubbard ladder subject to effective magnetic field: quench dynamics in a harmonic trap
- Synthetic gauge field and chiral physics on two-leg superconducting circuits
- Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
- Floquet engineering of optical nonlinearities: a quantum many-body approach
- Two-leg ladder Bose Hubbard models with staggered fluxes
- Topological Phases of Fermionic Ladders with Periodic Magnetic Fields
- Cluster Gutzwiller study of Bose-Hubbard ladder: ground-state phase diagram and many-body Landau-Zener dynamics
- Quantum phases of strongly-interacting bosons on a two-leg Haldane ladder
- Neural-network quantum states for a two-leg Bose-Hubbard ladder under magnetic flux
- Robust and Ultrafast State Preparation by Ramping Artificial Gauge Potentials
- Bosonic Double Ring Lattice Under Artificial Gauge Fields
- Localization of Rung Pairs in Hard-core Bose-Hubbard Ladder
- Exploring helical phases of matter in bosonic ladders
- Quantum phases of two-component bosons on the Harper-Hofstadter ladder
- Flux enhanced localization and reentrant delocalization in the quench dynamics of two interacting bosons on a Bose-Hubbard ladder
- Flux induced re-entrant dynamics in the quantum walk of interacting bosons
- Excitation spectrum and supersolidity of a two-leg bosonic ring ladder
- Quantum phases of constrained bosons on a two-leg Bose-Hubbard ladder
- Cluster Mean-Field Signature of Entanglement Entropy in Bosonic Superfluid-Insulator Transitions
- Static properties of two linearly coupled discrete circuits
- Ground-state phase diagram of two-component interacting bosons on a two-leg ladder
- Dynamics of interacting bosons in a two-leg ring ladder with artificial magnetic flux and ac-driven modulations
- Mott-insulating phases of the Bose-Hubbard model on quasi-1D ladder lattices