Simulating bosonic Chern insulators in one-dimensional optical superlattices
arXiv:1910.05943 · doi:10.1103/PhysRevA.101.013627
Abstract
We study the topological properties of an extended Bose-Hubbard model with cyclically modulated hopping and on-site potential parameters, which can be realized with ultracold bosonic atoms in a one-dimensional optical superlattice. We show that the interacting bosonic chain at half filling and in the deep Mott insulating regime can simulate bosonic Chern insulators with a topological phase diagram similar to that of the Haldane model of noninteracting fermions. Furthermore, we explore the topological properties of the ground state by calculating the many-body Chern number, the quasiparticle energy spectrum with gapless edge modes, the topological pumping of the interacting bosons, and the topological phase transition from normal (trivial) to topological Mott insulators. We also present the global phase diagram of the many-body ground state, which contains a superfluid phase and two Mott insulating phases with trivial (a zero Chern number) and nontrivial topologies (a nonzero Chern number), respectively.
10 pages, 8 figures
References in corpus (30)
- Many-Body Physics with Ultracold Gases
- The density-matrix renormalization group in the age of matrix product states
- Topological Photonics
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Topological Mott Insulators
- Degenerate Quantum Gases with Spin-Orbit Coupling
- Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- Spin Hall effects for cold atoms in a light induced gauge potential
- Observation of topological transitions in interacting quantum circuits
- Orbital analogue of quantum anomalous Hall effect in -band systems
- Measuring a topological transition in an artificial spin 1/2 system
- Experimental Measurement of the Quantum Metric Tensor and Related Topological Phase Transition with a Superconducting Qubit
- Topological Mott insulator in three-dimensional systems with quadratic band touching
- Exact diagonalization: the Bose-Hubbard model as an example
- Realizing and Detecting the Haldane's Quantum Hall effect with Ultracold Atoms
- First order character and observable signatures of topological quantum phase transitions
- Characterization of a topological Mott insulator in one dimension
- Rydberg-Atom Quantum Simulation and Chern Number Characterization of a Topological Mott Insulator
- Spin pumping and measurement of spin currents in optical superlattices
- Direct measurement of topological invariants in optical lattices
- Topological insulator and particle pumping in a one-dimensional shaken optical lattice
- Relativistic quantum effects of Dirac particles simulated by ultracold atoms
- Quantum Transport of Bosonic Cold Atoms in Double Well Optical Lattices
- Microscopic Realization of 2-Dimensional Bosonic Topological Insulators
- Various Topological Mott insulators in strongly-interacting boson system in one-dimensional superlattice
- Simulation and measurement of the fractional particle number in one-dimensional optical lattices
- Complete phase diagram and topological properties of interacting bosons in one-dimensional superlattices