Hidden order in 1D Bose insulators

Abstract

We investigate the phase diagram of spinless bosons with long range (~ 1/r^3) repulsive interactions, relevant to ultracold polarized atoms or molecules, using DMRG. Between the two conventional insulating phases, the Mott and density wave phases, we find a new phase possessing hidden order revealed by non local string correlations analogous to those characterizing the Haldane gapped phase of integer spin chains. We develop a mean field theory that describes the low energy excitations in all three insulating phases. This is used to calculate the absorption spectrum due to oscillatory lattice modulation. We predict a sharp resonance in the spectrum due to a collective excitation of the new phase that would provide clear evidence for the existence of this phase.

Letter

References in corpus (17)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Bragg spectroscopy of a Bose-Einstein condensate
• Quantum phases of dipolar bosons in optical lattices
• Exciting Collective Oscillations in a Trapped 1D Gas
• Observation of dipole-dipole interaction in a degenerate quantum gas
• Quo vadis, cold molecules? - Editorial review
• The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
• Ground State Phase Diagram of S=1 XXZ Chains with Uniaxial Single-Ion-Type Anisotropy
• Oscillating Superfluidity of Bosons in Optical Lattices
• Quantum magnetism with multicomponent polar molecules in an optical lattice
• Production of Ultracold, Polar RbCs* Molecules via Photoassociation
• Ultracold dipolar gases - a challenge for experiments and theory
• Excitations of a Superfluid in a 3D Optical Lattice
• Density wave and supersolid phases of correlated bosons in an optical lattice
• Emergence of Artificial Photons in an Optical Lattice
• Superfluid, Mott-Insulator, and Mass-Density-Wave Phases in the One-Dimensional Extended Bose-Hubbard Model

Cited by in corpus (191)

• The physics of dipolar bosonic quantum gases
• Entanglement spectrum of a topological phase in one dimension
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Quantum entanglement in condensed matter systems
• Condensed Matter Theory of Dipolar Quantum Gases
• Quantum phases from competing short- and long-range interactions in an optical lattice
• Non-standard Hubbard models in optical lattices: a review
• Dipolar physics: A review of experiments with magnetic quantum gases
• Colloquium: Hidden Order, Superconductivity, and Magnetism -- The Unsolved Case of URu2Si2
• Strongly correlated gases of Rydberg-dressed atoms: quantum and classical dynamics
• Topological quantum matter with cold atoms
• A symmetry principle for Topological Quantum Order
• Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators
• Manipulation of Molecules with Electromagnetic Fields
• String order and symmetries in quantum spin lattices
• Rise and fall of hidden string order of lattice bosons
• Exact results on the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations
• Quantum Magnetism with Polar Alkali Dimers
• Phase diagram of the extended Bose Hubbard model
• Topological phases in ultracold polar-molecule quantum magnets
• Phases of one-dimensional SU(N) cold atomic Fermi gases --from molecular Luttinger liquids to topological phases
• Anomalous Behavior of Spin Systems with Dipolar Interactions
• Cold Atoms and Molecules in Self-Assembled Dipolar Lattices
• Dynamical Stability of a Many-body Kapitza Pendulum
• Dipolar quantum solids emerging in a Hubbard quantum simulator
• Topological fractional pumping with alkaline-earth(-like) ultracold atoms
• Electronic structure theory of the hidden order material URu${}_2$Si${}_2$
• Coherent and dissipative dynamics at quantum phase transitions
• Kaleidoscope of quantum phases in a long-range interacting spin-1 chain
• The Prediction of a Gapless Topological "Haldane Liquid" Phase in a One-Dimensional Cold Polar Molecular Lattice
• Phase diagram of incoherently driven strongly correlated photonic lattices
• Quantum Phase Diagram and Excitations for the One-Dimensional S=1 Heisenberg Antiferromagnet with Single-Ion Anisotropy
• Entanglement spectrum of one-dimensional extended Bose-Hubbard models
• Symmetry-protected topological phases of alkaline-earth cold fermionic atoms in one dimension
• Ultra-cold bosons in zig-zag optical lattices
• Precursor of Laughlin state of hard core bosons on a two leg ladder
• Condensed Matter Physics in Time Crystals
• Strongly Correlated Bosons on a Dynamical Lattice
• Hybrid multi-site excitations in dipolar condensates in optical lattices
• Topological Time Crystals
• Adiabatic nonlinear probes of one-dimensional Bose gases
• Single-site- and single-atom-resolved measurement of correlation functions
• Quantized pumping and phase diagram topology of interacting bosons
• Exploring Unconventional Hubbard Models with Doubly Modulated Lattice Gases
• Super-Tonks-Girardeau regime in trapped one-dimensional dipolar gases
• Competing Supersolid and Haldane Insulator phases in the extended one-dimensional bosonic Hubbard model
• Simulating quantum magnets with symmetric top molecules
• Order parameter and detection for crystallized dipolar bosons in lattices
• Topological quantum critical points in the extended Bose-Hubbard model
• Spectral and Entanglement Properties of the Bosonic Haldane Insulator
• Continuous Symmetry Breaking in a Trapped-Ion Spin Chain
• How Hidden Orders Generate Gaps in 1D Fermionic Systems
• Non-local order parameters for the 1D Hubbard model
• Quantum Simulation of the Haldane Phase Using Trapped Ions
• Comparative density-matrix renormalization group study of symmetry-protected topological phases in spin-1 chain and Bose-Hubbard models
• Vortices and vortex lattices in quantum ferrofluids
• Strongly interacting bosons on a three-leg ladder in the presence of a homogeneous flux
• Floquet Many-body Engineering: Topological and Many-body Physics in Phase Space Lattices
• Non-local Order in Elongated Dipolar Gases
• Homogeneous and inhomogeneous magnetic phases of constrained dipolar bosons
• Spin and topological order in a periodically driven spin chain
• Correlations of strongly interacting ultracold dipolar bosons in optical lattices
• Extended Bose-Hubbard Model with dipolar and contact interactions
• Entanglement Spectroscopy using Quantum Monte Carlo
• Competing orders in one-dimensional half-filled multicomponent fermionic cold atoms: The Haldane-charge conjecture
• Density dependent tunneling in the extended Bose-Hubbard model
• Fast single atom imaging for optical lattice arrays
• A discriminating string order parameter for topological phases of gapped SU(N) spin chains
• Resonant demagnetization of a dipolar BEC in a 3D optical lattice
• Competing phases, phase separation and co-existence in the extended one-dimensional bosonic Hubbard model
• Staggered superfluid phases of dipolar bosons in two-dimensional square lattices
• Nontrivial Haldane phase of an atomic two-component Fermi gas trapped in a 1d optical lattice
• Density-dependent synthetic magnetism for ultracold atoms in optical lattices
• Dipolar-Induced Resonance for Ultracold Bosons in a Quasi-1D Optical Lattice
• Detecting Majorana fermions in quasi-one-dimensional topological phases using nonlocal order parameters
• Modulational instabilities in lattices with power-law hoppings and interactions
• Anyonic Haldane insulator in one dimension
• Quantum spin models with long-range interactions and tunnelings: A quantum Monte Carlo study
• Detecting One-Dimensional Dipolar Bosonic Crystal Orders via Full Distribution Functions
• Phase diagrams of the extended Bose-Hubbard model in one dimension by Monte-Carlo simulation with the help of a stochastic-series expansion
• Non-local order in Mott insulators, Duality and Wilson Loops
• Critical velocity of flowing supersolids of dipolar Bose gases in optical lattices
• Density waves in strongly correlated quantum chains
• Accuracy of quantum simulators with ultracold dipolar molecules: a quantitative comparison between continuum and lattice descriptions
• Observation of brane parity order in programmable optical lattices
• Exactly Solvable Points and Symmetry-Protected Topological Phases of Quantum Spins on a Zig-Zag Lattice
• Realizing the Haldane Phase with Bosons in Optical Lattices
• Topological pumping in the one-dimensional Bose-Hubbard model
• Quantum Critical Behavior of One-Dimensional Soft Bosons in the Continuum
• Superfluid phases induced by the dipolar interactions
• Structure and melting behavior of classical bilayer crystals of dipoles
• Hidden order in bosonic gases confined in one dimensional optical lattices
• Theory of competing Chern-Simons orders and emergent phase transitions
• Characterization of Bose-Hubbard Models with Quantum Non-demolition Measurements
• Hidden order and symmetry protected topological states in quantum link ladders
• Magnetism in the two-dimensional dipolar XY model
• Out-of-equilibrium dynamics and thermalization of string order
• XXZ spin-1/2 representation of a finite-U Bose-Hubbard chain at half-integer filling
• Ultracold dipolar few-boson ensembles in a triple well trap
• Non-Gaussian distribution of collective operators in quantum spin chains
• Polar bosons in one-dimensional disordered optical lattices
• Haldane Topological Orders in Motzkin Spin Chains
• Interacting second-order topological insulators in one-dimensional fermions with correlated hopping
• Dipolar bosons on an optical lattice ring
• Quantum simulation with fully coherent dipole--dipole-interactions mediated by three-dimensional subwavelength atomic arrays
• Recent progress on quantum simulations of non-standard Bose-Hubbard models
• Frustrated extended Bose-Hubbard model and deconfined quantum critical points with optical lattices at the anti-magic wavelength
• Haldane phase in the sawtooth lattice: Edge states, entanglement spectrum and the flat band
• Quantum phase transitions in the dimerized extended Bose-Hubbard model
• Realizing a symmetry protected topological phase through dimerized interactions
• Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
• Supersolid phases of light in extended Jaynes-Cummings-Hubbard systems
• Engineered Nearest-Neighbour Interactions with Doubly Modulated Optical Lattices
• Effective spin chains for fractional quantum Hall states
• Symmetry-protected topological order in magnetization plateau states of quantum spin chains
• Bosonization and entanglement spectrum for one-dimensional polar bosons on disordered lattices
• Haldane insulator protected by reflection symmetry in the doped Hubbard model on the three-legged ladder
• Destruction of string order after a quantum quench
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Interaction induced fractionalization and topological superconductivity in the polar molecules anisotropic $t-J$ model
• Twisted superfluid phase in the extended one-dimensional Bose-Hubbard model
• Spontaneous Peierls dimerization and emergent bond order in one-dimensional dipolar gases
• Bosonic integer quantum Hall effect as topological pumping
• Quantum phases of dipolar bosons in one-dimensional optical lattices
• An Operational Definition of Topological Order
• Symmetry-protected topological phase in a one-dimensional correlated bosonic model with a synthetic spin-orbit coupling
• Phase separated charge density wave phase in two species extended Bose-Hubbard model
• Hidden Magnetism in Periodically Modulated One Dimensional Dipolar Fermions
• Quantum phases of a one-dimensional dipolar Fermi gas
• Population imbalance in the extended Fermi-Hubbard model
• Bond order via cavity-mediated interactions
• Symmetry-protected Topological Phases in Spinful Bosons with a Flat Band
• Ab initio calculation of Hubbard parameters for Rydberg-dressed atoms in an one-dimensional optical lattice
• Excitation and dynamics in the extended bose-hubbard model
• Spin-1 Haldane phase in a chain of Rydberg atoms
• Homogeneous and domain wall topological Haldane conductors with dressed Rydberg atoms
• Polarization angle dependence of the breathing modes in confined one-dimensional dipolar bosons
• Low-energy Effective Theory for One-dimensional Lattice Bosons near Integer Filling
• Link between the hierarchy of fractional quantum Hall states and Haldane's conjecture for quantum spin chains
• Hidden Order in Quantum Many-body Dynamics of Driven-Dissipative Nonlinear Photonic Lattices
• Topological pump and bulk-edge-correspondence in an extended Bose-Hubbard model
• Transition to the Haldane phase driven by electron-electron correlations
• Quantum phases in $p$-orbital degenerated attractive 1D fermionic optical lattices
• Spin-gap spectroscopy in a bosonic flux ladder
• Haldane Insulator in the 1D Nearest-Neighbor Extended Bose-Hubbard Model with Cavity-Mediated Long-Range Interactions
• Macroscopic boundary effects in the one-dimensional extended Bose-Hubbard model
• Realizing multiband states with ultracold dipolar quantum simulators
• Strongly Interacting Two-component Coupled Bose Gas in Optical Lattices
• Transversal effects on the ground-state of hard-core dipolar bosons in one-dimensional optical lattices
• Bose-Fermi solid and its quantum melting in an one-dimensional optical lattice
• Multi-mode Bose-Hubbard model for quantum dipolar gases in confined geometries
• Kondo Length in Bosonic Lattices
• Phase transition of ultracold atoms immersed in a BEC vortex lattice
• Fermionic Symmetry Protected Topological Phase Induced by Interactions
• Density-dependent hopping for ultracold atoms immersed in a Bose-Einstein-condensate vortex lattice
• Anti-Newtonian dynamics and self-induced Bloch oscillations of correlated particles
• Resilience of hidden order to symmetry-preserving disorder
• Anyonic phase transitions in the 1D extended Hubbard model with fractional statistics
• Dynamical probing of a topological phase of bosons in one dimension
• Exotic Haldane Superfluid Phase of Soft-Core Bosons in Optical Lattices
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders
• Characterization of photoexcited states in the half-filled one-dimensional extended Hubbard model assisted by machine learning
• Quantum criticality of dipolar spin chains
• Stability of dipolar bosons in a quasiperiodic potential
• String order in dipole-blockaded quantum liquids
• Ground states of one-dimensional dipolar lattice bosons at unit filling
• Low energy quantum regimes of 1D dipolar Hubbard model with correlated hopping
• Kitaev ring threaded by a magnetic flux: Topological gap, Anderson localization of quasiparticles, and divergence of supercurrent derivative
• Measuring Non-local Brane Order with Error-corrected Parity Snapshots
• Ferroelectric quantum phase transition with cold polar molecules
• Complete characterization of spin chains with two Ising symmetries
• Ultracold and dense samples of ground-state molecules in lattice potentials
• Quantum Phase Transitions and the Hidden Order in a Two-Chain Extended Boson Hubbard Model at Half-Odd-Integer Fillings
• Competing order in two-band Bose-Hubbard chains with extended-range interactions
• Nonlocal order parameter of pair superfluids
• Many-body phases from effective geometrical frustration and long-range interactions in a subwavelength lattice
• Fundamental role of nonlocal orders in 1D Extended Bose-Hubbard Model
• Condensed matter physics in big discrete time crystals
• Chiral phases and dynamics of dipoles in triangular optical ladders
• Frequency-selective amplification of nonlinear response in strongly correlated bosons
• Dynamics for the Haldane phase in the Bilinear-Biquadratic Model
• Emergence of topological states in relaxation dynamics of interacting bosons
• Eigenstate plateau transition and equilibration in 1D quantum lattice models
• Non-adiabatic dynamics of the entanglement entropy in a symmetry-breaking Haldane insulator
• Phase diagram of a QED-cavity array coupled via a N-type level scheme
• Emergent Phases in an Extended Bose-Hubbard Model with Three-body On-site Interaction
• Bosonic Haldane insulator in the presence of local disorder: A quantum Monte Carlo study
• Emergent supercounterfluid and quantum phase diagram of two-component interacting bosons in one-dimensional optical lattice
• Topological phases of bosons with local parity coupling on a dimerized lattice
• Emergent Haldane phase in an alternating bond ${\mathbb{Z}}_3$ parafermion chain
• Devil's staircase of topological Peierls insulators and Peierls supersolids