Hidden order and symmetry protected topological states in quantum link ladders
arXiv:1707.03225 · doi:10.1103/PhysRevLett.119.180402
Abstract
We show that whereas spin-1/2 one-dimensional U(1) quantum-link models (QLMs) are topologically trivial, when implemented in ladder-like lattices these models may present an intriguing ground-state phase diagram, which includes a symmetry protected topological (SPT) phase that may be readily revealed by analyzing long-range string spin correlations along the ladder legs. We propose a simple scheme for the realization of spin-1/2 U(1) QLMs based on single-component fermions loaded in an optical lattice with s- and p-bands, showing that the SPT phase may be experimentally realized by adiabatic preparation.
arXiv comment5 pages, 4 figures
References in corpus (48)
- Topological Insulators
- Topological insulators and superconductors
- The density-matrix renormalization group in the age of matrix product states
- Entanglement spectrum of a topological phase in one dimension
- Symmetry protected topological orders and the group cohomology of their symmetry group
- Classical simulation of infinite-size quantum lattice systems in one spatial dimension
- A Rydberg Quantum Simulator
- Topological phases of fermions in one dimension
- Symmetry protection of topological order in one-dimensional quantum spin systems
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- Classifying quantum phases using Matrix Product States and PEPS
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Fidelity approach to quantum phase transitions
- Symmetry Protected Topological phases of Quantum Matter
- Observation of the Meissner effect with ultracold atoms in bosonic ladders
- The iTEBD algorithm beyond unitary evolution
- Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
- Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
- Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
- Detection of Symmetry Protected Topological Phases in 1D
- Orbital superfluidity in the -band of a bipartite optical square lattice
- Quantum Link Models: A Discrete Approach to Gauge Theories
- Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
- A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
- Lattice gauge theories simulations in the quantum information era
- Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
- Hidden order in 1D Bose insulators
- Ground State Phase Diagram of S=1 XXZ Chains with Uniaxial Single-Ion-Type Anisotropy
- Simulations of non-Abelian gauge theories with optical lattices
- Rise and fall of hidden string order of lattice bosons
- QCD as a Quantum Link Model
- Atomic quantum simulator for lattice gauge theories and ring exchange models
- Tensor networks for Lattice Gauge Theories and Atomic Quantum Simulation
- Cold atom simulation of interacting relativistic quantum field theories
- Confinement and lattice QED electric flux-tubes simulated with ultracold atoms
- Photons and electrons as emergent phenomena
- Quantum simulation of a lattice Schwinger model in a chain of trapped ions
- Simulating 2+1d Lattice QED with dynamical matter using ultracold atoms
- The phase diagram of the anisotropic spin-2 XXZ model: an infinite system DMRG study
- Towards Quantum Simulating QCD
- Implementing quantum electrodynamics with ultracold atomic systems
- Optical Lattice Hamiltonians for Relativistic Quantum Electrodynamics
- The (2+1)-d U(1) Quantum Link Model Masquerading as Deconfined Criticality
- Exploring Unconventional Hubbard Models with Doubly Modulated Lattice Gases
- Haldane charge conjecture in one-dimensional multicomponent fermionic cold atoms
- Loops and Strings in a Superconducting Lattice Gauge Simulator
Cited by in corpus (16)
- Topological quantum matter with cold atoms
- Emerging 2D Gauge theories in Rydberg configurable arrays
- Symmetry-protected topological phases in lattice gauge theories: topological QED
- From Quantum Link Models to D-Theory: A Resource Efficient Framework for the Quantum Simulation and Computation of Gauge Theories
- gauge theories coupled to topological fermions: QED with a quantum-mechanical angle
- Encoding a one-dimensional topological gauge theory in a Raman-coupled Bose-Einstein condensate
- Exactly Solvable Points and Symmetry-Protected Topological Phases of Quantum Spins on a Zig-Zag Lattice
- Quantum simulator of link models using spinor dipolar ultracold atoms
- Deconfining disordered phase in two-dimensional quantum link models
- Enhanced repulsively bound atom pairs in topological optical lattice ladders
- Synthetic gauge theories based on parametric excitations of trapped ions
- Large-Scale D Gauge Theory with Dynamical Matter in a Cold-Atom Quantum Simulator
- Hubbard models and state preparation in an optical Lieb lattice
- Scaling and Luescher Term in a non-Abelian (2+1)d SU Quantum Link Model
- Ground-state phase diagram of quantum link electrodynamics in -d
- Stability of the symmetry-protected topological phase and Ising transitions in a disordered U(1) quantum link model on a ladder