Quantum Simulation of a Topological Mott Insulator with Rydberg Atoms in a Lieb Lattice
arXiv:1510.00281 · doi:10.1103/PhysRevA.93.043611
Abstract
We propose a realistic scheme to quantum simulate the so-far experimentally unobserved topological Mott insulator phase -- an interaction-driven topological insulator -- using cold atoms in an optical Lieb lattice. To this end, we study a system of spinless fermions in a Lieb lattice, exhibiting repulsive nearest and next-to-nearest neighbor interactions, and derive the associated zero temperature phase diagram within mean-field approximation. In particular, we analyze how the interactions can dynamically generate a charge density wave ordered, a nematic as well as a topologically non-trivial quantum anomalous Hall phase. We characterize the topology of the different phases by the Chern number and discuss the possibility of phase coexistence. Based on the identified phases, we propose a realistic implementation of this model using cold Rydberg-dressed atoms in an optical lattice. The scheme, which allows one to access in particular the topological Mott insulator phase, robustly and independently of its exact position in parameter space, merely requires global, always-on off-resonant laser coupling to Rydberg states and is feasible with state-of-the-art experimental techniques.
8 pages, 6 color figures (incl. appendices)
References in corpus (28)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Non-Abelian Anyons and Topological Quantum Computation
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Topological Insulators with Inversion Symmetry
- A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
- Topological characterization of periodically-driven quantum systems
- First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Topological Defects and Gapless Modes in Insulators and Superconductors
- Topological Mott Insulators
- Observation of a localized flat-band state in a photonic Lieb lattice
- Observation of bound states in Lieb photonic lattices
- Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
- Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
- Topological Insulators on the Lieb and Perovskite Lattices
- Dynamical crystallization in a low-dimensional Rydberg gas
- Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
- Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
- Correlation effects in two-dimensional topological insulators
- Direct imaging of topological edge states in cold-atom systems
- Detecting Chiral Edge States in the Hofstadter Optical Lattice
- Rydberg-Atom Quantum Simulation and Chern Number Characterization of a Topological Mott Insulator
- Charge instabilities and topological phases in the extended Hubbard model on the honeycomb lattice with enlarged unit cell
- Direct measurement of topological invariants in optical lattices
- Spontaneous symmetry breakings in two-dimensional kagome lattice
- Exotic topological density waves in cold atomic Rydberg fermions
- Direct Probe of Topological Order for Cold Atoms
- Double transfer through Dirac points in a tunable honeycomb optical lattice
Cited by in corpus (31)
- Quantum computing with atomic qubits and Rydberg interactions: Progress and challenges
- Artificial flat band systems: from lattice models to experiments
- Interacting topological insulators: a review
- Geometric origin of superfluidity in the Lieb lattice flat band
- Topological quantum matter with cold atoms
- Exciton Polaritons in a Two-Dimensional Lieb Lattice with Spin-Orbit Coupling
- Realization of Lieb Lattice in Covalent-organic Frameworks with Tunable Topology and Magnetism
- Quench Dynamics of a Fermi Gas with Strong Non-Local Interactions
- Interaction-Driven Spontaneous Quantum Hall Effect on Kagome Lattice
- Topological Varma superfluid in optical lattices
- Simulating Quantum Spin Hall Effect in Topological Lieb Lattice of Linear Circuit
- Circuit Quantum Electrodynamics Simulator of Flat Band Physics in Lieb lattice
- Tunning topological phase and quantum anomalous Hall effect by interaction in quadratic band touching systems
- Disorder-induced topological phase transitions on Lieb lattices
- Observation of the Borromean three-body Förster resonances for three interacting Rb Rydberg atoms
- Accessing Rydberg-dressed interactions using many-body Ramsey dynamics
- Simulating bosonic Chern insulators in one-dimensional optical superlattices
- Spontaneous particle-hole symmetry breaking of correlated fermions on the Lieb lattice
- Ferromagnetic ground state of SU(3) Hubbard model on the Lieb lattice
- Self-Trapped Polarons and Topological Defects in a Topological Mott Insulator
- Discrete-Time Quantum-Walk & Floquet Topological Insulators via Distance-Selective Rydberg-Interaction
- Interaction-enhanced integer quantum Hall effect in disordered systems
- Quantum anomalous Hall state from spatially decaying interactions on the decorated honeycomb lattice
- Coherence of the Borromean three-body Förster resonances in Rydberg atoms
- Interaction induced topological Bogoliubov excitations in a spin-orbit coupled Bose-Einstein condensate
- Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory
- Inseparable time-crystal geometries on the Möbius strip
- Motional decoherence in ultracold Rydberg atom quantum simulators of spin models
- Emergent chiral spin ordering and anomalous Hall effect of kagome lattice at 1/3 filling
- Holographic Lieb lattice and gapping its Dirac band
- Altermagnetism and its induced higher-order topology on the Lieb lattice