Magnetic crystals and helical liquids in alkaline-earth fermionic gases
arXiv:1504.00164 · doi:10.1038/ncomms9134
Abstract
The joint action of a synthetic gauge potential and of atomic contact repulsion in a one-dimensional alkaline-earth(-like) fermionic gas with nuclear spin I leads to the existence of a hierarchy of fractional insulating and conducting states with intriguing properties. We unveil the existence and the features of those phases by means of both analytical bosonization techniques and numerical methods based on the density-matrix renormalization group algorithm. In particular, we show that the gapless phases can support helical modes, whereas the gapped states, which appear under certain conditions, are characterised both by density and magnetic order. Several distinct features emerge solely for spin I larger than 1/2, thus making their study with cold-atoms unique. We will finally argue that these states are related to the properties of an unconventional fractional quantum Hall effect in the thin-torus limit. The properties of this hierarchy of states can be experimentally studied in state-of-the-art cold-atom laboratories.
(8 pages, 5 figures; Supplementary Material: 4 pages, 5 figures)
References in corpus (29)
- Non-Abelian Anyons and Topological Quantum Computation
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Tunable gauge potential for neutral and spinless particles in driven lattices
- Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
- A one-dimensional liquid of fermions with tunable spin
- Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
- Observation of two-orbital spin-exchange interactions with ultracold SU(N)-symmetric fermions
- An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
- Non-Abelian gauge fields and topological insulators in shaken optical lattices
- Ultracold Fermi Gases with Emergent SU(N) Symmetry
- Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
- Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
- Vortex and Meissner phases of strongly-interacting bosons on a two-leg ladder
- Quantum Hall system in Tao-Thouless limit
- Coherent multi-flavour spin dynamics in a fermionic quantum gas
- Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
- Theory of Bosons in two-leg ladders with large magnetic fields
- Quantum Spin Hall Effect in Strip of Stripes Model
- Realization of Fractional Chern Insulators in the Thin-Torus-Limit with Ultracold Bosons
- Mott transition in a two-leg Bose-Hubbard ladder under an artificial magnetic field
- Entropy dependence of correlations in one-dimensional SU(N) antiferromagnets
- Synthetic gauge fields stabilize a chiral spin liquid phase
- Competing Chiral Orders in the Topological Haldane-Hubbard Model of Spin-1/2 Fermions and Bosons
- Thermal Phase Transitions of Strongly Correlated Bosons with Spin-Orbit Coupling
- Probing magnetic order in ultracold lattice gases
- Quantum imaging of spin states in optical lattices
Cited by in corpus (67)
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Simulating Lattice Gauge Theories within Quantum Technologies
- Topological quantum matter in synthetic dimensions
- Synthetic dimensions in integrated photonics: From optical isolation to 4D quantum Hall physics
- Topological quantum matter with cold atoms
- Synthetic dimensions and spin-orbit coupling with an optical clock transition
- Spin-orbit coupled fermions in an optical lattice clock
- Four-Dimensional Quantum Hall Effect with Ultracold Atoms
- Probing chiral edge dynamics and bulk topology of a synthetic Hall system
- Synthetic Dimensions for Cold Atoms from Shaking a Harmonic Trap
- Phases of one-dimensional SU(N) cold atomic Fermi gases --from molecular Luttinger liquids to topological phases
- Topological fractional pumping with alkaline-earth(-like) ultracold atoms
- Symmetry-broken states in a system of interacting bosons on a two-leg ladder with a uniform Abelian gauge field
- Spin-orbit coupled two-electron Fermi gases of ytterbium atoms
- Laughlin-like states in bosonic and fermionic atomic synthetic ladders
- Quantum Hall Physics with Cold Atoms in Cylindrical Optical Lattices
- Synthetic gauge fields in synthetic dimensions: Interactions and chiral edge modes
- Chiral currents in one-dimensional fractional quantum Hall states
- Synthetic Dimensions with Magnetic Fields and Local Interactions in Photonic Lattices
- Band Gap Closing in a Synthetic Hall Tube of Neutral Fermions
- A comprehensive review on developments of synthetic dimensions
- Flavour-selective localization in interacting lattice fermions via SU(N) symmetry breaking
- Synthetic dimensions in the strong-coupling limit: supersolids and pair-superfluids
- Coupled-wire constructions: a Luttinger liquid approach to topology
- Bose-Einstein Condensate on a Synthetic Topological Hall Cylinder
- The fine structure of the entanglement entropy in the classical XY model
- Selective insulators and anomalous responses in correlated fermions with synthetic extra dimensions
- Analytical approach to a bosonic ladder subject to a magnetic field
- Renyi entanglement entropies of descendant states in critical systems with boundaries: conformal field theory and spin chains
- Pretopological fractional excitations in the two-leg flux ladder
- Phases of Attractive Fermi Gases in Synthetic Dimensions
- Vortex-hole duality: a unified picture of weak and strong-coupling regimes of bosonic ladders with flux
- Methods for detecting charge fractionalization and winding numbers in an interacting fermionic ladder
- Bose-Hubbard physics in synthetic dimensions from interaction Trotterization
- Snapshot based characterization of particle currents and the Hall response in synthetic flux lattices
- Devil's staircases in synthetic dimensions and gauge fields
- Measuring Chern numbers in Hofstadter strips
- Light-induced fractional quantum Hall phases in graphene
- Topological phases in odd-legs frustrated synthetic ladders
- Probing the Hall Voltage in Synthetic Quantum Systems
- Baryon squishing in synthetic dimensions by effective gauge fields
- Topological Superfluid and Majorana Zero Modes in Synthetic Dimension
- Topological Phases of Fermionic Ladders with Periodic Magnetic Fields
- Quantum optics and frontiers of physics: The third quantum revolution
- Enhancement of chiral edge currents in (+1)-dimensional atomic Mott-band hybrid insulators
- Bosonic integer quantum Hall effect as topological pumping
- The resonant state at filling factor ν = 1/2 in chiral fermionic ladders
- Suppression and Control of Pre-thermalization in Multi-component Fermi Gases Following a Quantum Quench
- Effective triangular ladders with staggered flux from spin-orbit coupling in 1D optical lattices
- Topological Devil's staircase in atomic two-leg ladders
- Spin-orbit coupled ultracold gases in optical lattices: High-band physics and insufficiency of tight-binding models
- Quantum phases of strongly-interacting bosons on a two-leg Haldane ladder
- Strong coupling phases of the spin-orbit-coupled spin-1 Bose-Hubbard chain: odd integer Mott lobes and helical magnetic phases
- Interaction effects in a microscopic quantum wire model with strong spin-orbit interaction
- Synthetic Helical Liquids with Ultracold Atoms in Optical Lattices
- Emergent bosons in the fermionic two-leg flux ladder
- Synthetic-gauge-field-induced resonances and Fulde-Ferrell-Larkin-Ovchinnikov states in a one-dimensional optical lattice
- Spin-gap spectroscopy in a bosonic flux ladder
- Interaction-induced exotic vortex states in an optical lattice clock with spin-orbit coupling
- Quantum phases of two-component bosons on the Harper-Hofstadter ladder
- Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension
- Microscopic Study of the Coupled-Wire Construction and Plausible Realization in Spin-Dependent Optical Lattices
- Spin-tensor Meissner currents of ultracold bosonic gas in an optical lattice
- Tunable topological phases with fermionic atoms in a one-dimensional flux lattice
- Synthetic Hall tube of interacting fermions
- 4 and 8 dual Josephson effects induced by symmetry defects
- State selective cooling of Fermi-gases