The Prediction of a Gapless Topological "Haldane Liquid" Phase in a One-Dimensional Cold Polar Molecular Lattice

Abstract

We show that ultracold two-component fermionic dipolar gases in an optical lattice with strong two-body on-site loss can be used to realize a tunable effective spin-one model. Fermion number conservation provides an unusual constraint that ${\sum }_i(S_i^z{)}^2$ is conserved, leading to a novel topological liquid phase in one dimension which can be thought of as the gapless analog of the Haldane gapped phase of a spin-one Heisenberg chain. The properties of this phase are calculated numerically via the infinite time-evolving block decimation method and analytically via a mapping to a one-mode Luttinger liquid with hidden spin information.

9 pages, 4 figures; expanded discussion and added figure; accepted for publication in PRB

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Cited by in corpus (60)

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• Tunable Superfluidity and Quantum Magnetism with Ultracold Polar Molecules
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• Manipulation of Molecules with Electromagnetic Fields
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• Quantum Magnetism with Polar Alkali Dimers
• Statistical localization: from strong fragmentation to strong edge modes
• Topology and edge modes in quantum critical chains
• Gapless topological phases and symmetry-enriched quantum criticality
• Intrinsically Gapless Topological Phases
• A Gapless Symmetry-Protected Topological Phase of Fermions in One Dimension
• Topological phases in ultracold polar-molecule quantum magnets
• Topological Transition on the Conformal Manifold
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• Topological Luttinger Liquids from Decorated Domain Walls
• Entanglement spectrum of one-dimensional extended Bose-Hubbard models
• Conformal Boundary Conditions of Symmetry-Enriched Quantum Critical Spin Chains
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• Bulk-boundary correspondence for intrinsically-gapless SPTs from group cohomology
• Topological quantum critical points in the extended Bose-Hubbard model
• Asymptotic Correlations in Gapped and Critical Topological Phases of 1D Quantum Systems
• Topological and symmetry-enriched random quantum critical points
• Non-local Order in Elongated Dipolar Gases
• Evidence for deconfined $U(1)$ gauge theory at the transition between toric code and double semion
• Universal entanglement spectrum in gapless symmetry protected topological states
• From trivial to topological paramagnets: The case of ${\mathbb{Z}}_2$ and ${\mathbb{Z}}_2^3$ symmetries in two dimensions
• Magnetic impurities at quantum critical points: large-$N$ expansion and SPT connections
• d-Wave Superfluidity in Optical Lattices of Ultracold Polar Molecules
• Long-range and frustrated spin-spin interactions in crystals of cold polar molecules
• Synchronization transition in dipole-coupled two-level systems with positional disorder
• Quantum phase transition and critical behavior between the gapless topological phases
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• Tunable exciton interactions in optical lattices with polar molecules
• Gifts from long-range interaction: Emergent gapless topological behaviors in quantum spin chain
• Symmetry-Enriched Criticality in a Coupled Spin-Ladder
• Topology of critical chiral phases: multiband insulators and superconductors
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• Gapless symmetry-protected topological phase of quantum antiferromagnets on anisotropic triangular strip
• Topological edge states at Floquet quantum criticality
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• Higgs-Confinement Transitions in QCD from Symmetry Protected Topological Phases
• Quantum entanglement of fermionic symmetry-enriched quantum critical points in one dimension
• Symmetry-protected adiabatic quantum transistors
• Gapless Symmetry-Protected Topological States in Measurement-Only Circuits
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• Gapless higher-order topology and corner states in Floquet systems
• Interaction-induced phase transitions at topological quantum criticality of an extended Su-Schrieffer-Heeger model
• Long range interactions in antiferromagnetic quantum spin chains
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• Bose-Hubbard model with occupation-parity couplings
• Quantum simulation of superexchange magnetism in linear ion crystals
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• Solvable models for 2+1D quantum critical points: Loop soups of 1+1D conformal field theories
• Topological floating phase of dipolar bosons in an optical ladder