Observation of the supersolid stripe phase in spin-orbit coupled Bose-Einstein condensates

Abstract

Supersolidity is an intriguing concept. It combines the property of superfluid flow with the long-range spatial periodicity of solids, two properties which are often mutually exclusive. The original discussion of quantum crystals and supersolidity focuses on solid Helium-4 where it was predicted that vacancies could form dilute weakly interacting Bose-Einstein condensates. In this system, direct observation of supersolidity has been elusive. The concept of supersolidity was then generalized to include other superfluid systems which break the translational symmetry of space. One of such systems is a Bose-Einstein condensate with spin-orbit coupling which has a supersolid stripe phase. Despite several recent studies of this system, the stripe phase has not been observed. Here we report the direct observation of the predicted density modulation of the stripe phase using Bragg reflection. Our work establishes a system with unique symmetry breaking properties. Of future interest is further spatial symmetry breaking through the introduction of vortices, solitons, impurities or disorder.

References in corpus (12)

• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Degenerate Quantum Gases with Spin-Orbit Coupling
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Supersolid formation in a quantum gas breaking continuous translational symmetry
• Supersolid hardcore bosons on the triangular lattice
• Spin-orbit coupled Bose-Einstein condensates
• Softening of Roton and Phonon Modes in a Bose-Einstein Condensate with Spin-Orbit Coupling
• A Unitary Fermi Supersolid: The Larkin-Ovchinnikov Phase
• Spin-orbit coupled two-electron Fermi gases of ytterbium atoms
• Soliton Magnetization Dynamics in Spin-Orbit Coupled Bose-Einstein Condensates
• Quantum Plasticity and Supersolid Response in Helium-4
• Position-dependent spin-orbit coupling for ultracold atoms

Cited by in corpus (200)

• Tools for quantum simulation with ultracold atoms in optical lattices
• Transient supersolid properties in an array of dipolar quantum droplets
• Long-lived and transient supersolid behaviors in dipolar quantum gases
• Dipolar physics: A review of experiments with magnetic quantum gases
• Long-range interacting quantum systems
• Giant Magnetocaloric Effect in Spin Supersolid Candidate Na${}_2$BaCo(PO${}_4$)${}_2$
• Supersolidity around a critical point in dipolar Bose Einstein condensates
• Striped states in a many-body system of tilted dipoles
• Rotating a supersolid dipolar gas
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Spatial coherence of spin-orbit-coupled Bose gases
• Superconductivity, charge density wave, and supersolidity in flat bands with tunable quantum metric
• Dipolar Bose Superstripes
• Manipulating polariton condensates by Rashba-Dresselhaus coupling at room temperature
• Spin Supersolidity in Nearly Ideal Easy-axis Triangular Quantum Antiferromagnet Na${}_2$BaCo(PO${}_4$)${}_2$
• Supersolidity in ultra-cold dipolar gases
• Spin-dependent Optical Superlattice
• Dimensional crossover in the superfluid-supersolid quantum phase transition
• Observation of vortices in a dipolar supersolid
• Superfluid fraction in an interacting spatially modulated Bose-Einstein condensate
• Realizing Quantum Materials with Helium: Helium films at ultralow temperatures, from strongly correlated atomically layered films to topological superfluidity
• Sub-unity superfluid fraction of a supersolid from self-induced Josephson effect
• Alternating-domain supersolids in binary dipolar condensates
• Glitches in rotating supersolids
• Coherently Coupled Mixtures of Bose-Einstein Condensed Gases
• Supersolidity and crystallization of a dipolar Bose gas in an infinite tube
• Catalyzation of supersolidity in binary dipolar condensates
• Stable nonlinear modes sustained by gauge fields
• Multi-ring, stripe, and super-lattice solitons in a spin-orbit coupled spin-1 condensate
• Strong Photon Blockade Mediated by Optical Stark Shift in a Single-Atom-Cavity System
• Emerging supersolidity from a polariton condensate in a photonic crystal waveguide
• Spatially Modulated Superfluid State in Two-Dimensional ${}^4$He Films
• Dynamics of Stripe Patterns in Supersolid Spin-Orbit-Coupled Bose Gases
• Supersolid-like square- and honeycomb-lattice crystallization of droplets in a dipolar condensate
• Observation of anisotropic superfluid density in an artificial crystal
• Vortices in dipolar Bose-Einstein condensates
• Elementary excitations in a spin-orbit-coupled spin-1 Bose-Einstein condensate
• Control of ${}^{164}$Dy Bose-Einstein condensate phases and dynamics with dipolar anisotropy
• Quantum Gas Microscopy of Fermions in the Continuum
• Self-bound droplet clusters in laser-driven Bose-Einstein condensates
• Excited-state quantum phase transitions in spin-orbit coupled Bose gases
• Hydrodynamics of a superfluid smectic
• Interactions mediated by atoms, photons, electrons, and excitons
• Creation and robustness of quantized vortices in a dipolar supersolid when crossing the superfluid-to-supersolid transition
• Interacting second-order topological insulators in one-dimensional fermions with correlated hopping
• Phonon Stability of Quantum Droplets in a dipolar Bose gases
• Excitations of a two-dimensional supersolid
• Topological excitations in rotating Bose-Einstein condensates with Rashba-Dresselhaus spin-orbit coupling in a two-dimensional optical lattice
• Tail-free self-accelerating solitons and vortices
• Compressibility and speeds of sound across the superfluid to supersolid phase transition of an elongated dipolar gas
• Supersolid phases of lattice dipoles tilted in three-dimensions
• Two-dimensional miscible-immiscible supersolid and droplet crystal state in a homonuclear dipolar bosonic mixture
• Probing the supersolid order via high-energy scattering: analytical relations among response, density modulation, and superfluid fraction
• Supersolid Stacks in Antidipolar Bose-Einstein Condensates
• Quenching dynamics of the bright solitons and other localized states in spin-orbit coupled Bose-Einstein condensates
• Multiferroic spin-superfluid and spin-supersolid phases in MnCr2S4
• Persistent currents in ultracold gases
• Photon blockade with a trapped $\Lambda$-type three-level atom in asymmetrical cavity
• Spin-orbital-angular-momentum-coupled quantum gases
• Strongly-interacting bosons at 2D-1D Dimensional Crossover
• Excitations of a binary dipolar supersolid
• Emergence of a spin microemulsion in spin-orbit coupled Bose-Einstein condensates
• Symbiotic solitons in a quasi-one- and quasi-two-dimensional spin-1 condensates
• Decoupled sound and amplitude modes in trapped dipolar supersolids
• Spin rotons and supersolids in binary antidipolar condensates
• Quantum Phases of Two-Component Bosons with Spin-Orbit Coupling in Optical Lattices
• Simulating Spin Dynamics of Supersolid States in a Quantum Ising Magnet
• Quantum phases of constrained dipolar bosons in coupled one-dimensional optical lattices
• Quantum phases in spin-orbit-coupled Floquet spinor Bose gases
• Spin squeezing in a spin-orbit coupled Bose-Einstein condensate
• Fine structure of the stripe phase in ring-shaped Bose-Einstein condensates with spin-orbital-angular-momentum coupling
• Observation of supersolid-like sound modes in a driven quantum gas
• Sounds waves and fluctuations in one-dimensional supersolids
• Stationary and moving bright solitons in Bose-Einstein condensates with spin-orbit coupling in a Zeeman field
• Classical linear chain behavior from dipolar droplets to supersolids
• Time Translation Symmetry Breaking in an Isolated Spin-Orbit-Coupled Fluid of Light
• Spin-orbit-coupling-induced phase separation in trapped Bose gases
• Quantum phases and collective excitations of a spin-orbit-coupled Bose-Einstein condensate in a one-dimensional optical lattice
• Wannier states and spin supersolid physics in the triangular antiferromagnet K${}_2$Co(SeO${}_3$)${}_2$
• Supersolid-like solitons in spin-orbit coupled spin-2 condensate
• Tuning photon-mediated interactions in a multimode cavity: from supersolid to insulating droplets hosting phononic excitations
• Quantum-geometric perspective on spin-orbit-coupled Bose superfluids
• Metastable supersolid in spin-orbit coupled Bose-Einstein condensates
• Supersolid-like square- and triangular-lattice crystallization of dipolar droplets in a box trap
• Quantum phases of spin-orbital-angular-momentum coupled bosonic gases in optical lattices
• Influence of Rashba spin-orbit and Rabi couplings on the miscibility and ground state phases of binary Bose-Einstein condensates
• Crossing the superfluid-supersolid transition of an elongated dipolar condensate
• Unbounded entropy production and violent fragmentation for repulsive-to-attractive interaction quench in long-range interacting systems
• Spontaneous spatial order in two-dimensional ferromagnetic spin-orbit coupled uniform spin-1 condensate solitons
• Tunneling dynamics of ${}^{164}$Dy supersolids and droplets
• Synchronization in rotating supersolids
• Self-ordered supersolid phase beyond Dicke superradiance in a ring cavity
• Spin-orbit-coupled spin-1 Bose-Einstein condensates in a toroidal trap: even-petal-number necklacelike state and persistent flow
• Topological defects of spin-orbit coupled Bose-Einstein condensates in a rotating anharmonic trap
• Effect of beyond mean-field interaction on the structure and dynamics of the one-dimensional quantum droplet
• Supersolid Gap Soliton in a Bose-Einstein Condensate and Optical Ring Cavity coupling system
• NMR study of supersolid phases in the triangular-lattice antiferromagnet Na2BaCo(PO4)2
• Supersolidity in Rydberg tweezer arrays
• Multimer states in multilevel waveguide QED
• Higher-order topological corner states induced solely by onsite potentials with mirror symmetry
• Probing supersolidity through excitations in a spin-orbit-coupled Bose-Einstein condensate
• Induced supersolidity and hypersonic flow of a dipolar Bose-Einstein Condensate in a rotating bubble trap
• Emergence of a tunable crystalline order in a Floquet-Bloch system from a parametric instability
• Detection of roton and phonon excitations in a spin-orbit coupled Bose-Einstein condensate with a moving barrier
• Two Nambu-Goldstone zero modes for rotating Bose-Einstein condensates
• Supercurrent-carrying supersolid in spin-orbit-coupled Bose-Einstein condensates
• Induced supersolidity in a Dy-Er mixture
• Spin-tensor Meissner currents of ultracold bosonic gas in an optical lattice
• Calibrating the absorption imaging of cold atoms under high magnetic fields
• Anomalous dispersion of shear waves in dipolar supersolids
• Mixed-spin system with supersolid phases: Magnetocaloric effect and thermal properties
• Interaction quench of dipolar bosons in a one-dimensional optical lattice
• Ground states of dipolar spin-orbit-coupled Bose-Einstein condensates in a toroidal trap
• Bose-Einstein condensates with Raman-induced spin-orbit coupling : An overview
• Kibble-Zurek scaling of the superfluid-supersolid transition in an elongated dipolar gas
• Supersolidity in the second layer of $para$-H${}_2$ adsorbed on graphite
• Exploring pulsar glitches with dipolar supersolids
• Superglass formation in an atomic BEC with competing long-range interactions
• Superfluid fraction of interacting bosonic gases
• Excitations of a supersolid annular stripe phase in a spin-orbital-angular-momentum-coupled spin-1 Bose-Einstein condensate
• Supersolid Phase in the Diluted Holstein Model
• Sinusoidal magnetic field induced topological excitations in a spin-orbit coupled spinor condensate
• Bound states of spin-orbit coupled cold atoms in a Dirac delta-function potential
• Topological spin-orbit-coupled fermions beyond rotating wave approximation
• Topological defects in rotating spin-orbit-coupled dipolar spin-1 Bose-Einstein condensates
• Temperature-induced supersolidity in spin-orbit-coupled Bose gases
• Phase-induced vortex pinning in rotating supersolid dipolar systems
• Unveiling Supersolid Order via Vortex Trajectory Correlations
• Synthetic spin-orbit coupling for the multispin models in optical lattices
• Coherent spin mixing via spin-orbit coupling in Bose gases
• Ground-state properties of dipolar Bose-Einstein condensates with spin-orbit coupling and quantum fluctuations
• Thermal transitions of the modulated superfluid for spin-orbit coupled correlated bosons in an optical lattice
• Imaginary spin-orbital coupling in parity-time symmetric systems with momentum-dependent gain and loss
• Excitations and phase ordering of the spin-stripe phase of a binary dipolar condensate
• Dynamics of Bright Soliton Under Cubic-Quartic Interactions in Quasi One-Dimensional Geometry
• Topological spinor vortex matter on spherical surface induced by non-Abelian spin-orbital-angular-momentum coupling
• Thermal and Quantum Fluctuation Effects in Quasiperiodic Systems in External Potentials
• Mini droplet, mega droplet and stripe formation in a dipolar condensate
• Chiral Raman coupling for spin-orbit coupling in ultracold atomic gases
• Anomalous Doppler effect in superfluid and supersolid atomic gases
• Dipole-mode and scissors-mode oscillations of a dipolar supersolid
• Magnetization induced skyrmion dynamics of a spin-orbit-coupled spinor condensate under sinusoidally varying magnetic field
• Lattice dynamics in an emergent Zeeman lattice
• Supersolid-like solitons in two-dimensional nonmagnetic spin-orbit coupled spin-1 and spin-2 condensates
• Characterizing ultra-narrow momentum of atoms by standing-wave light-pulse sequences
• Simultaneous symmetry breaking in spontaneous Floquet states: temporal Floquet-Nambu-Goldstone modes, Floquet thermodynamics, and the time operator
• Single-fluid model for rotating annular supersolids and its experimental implications
• Stripe and junction-vortex phases in linearly coupled Bose-Einstein condensates
• Stabilizing period-doubled density waves by spin-orbit coupling in Bose-Einstein condensates in optical lattices
• Collective excitations and universal coarsening dynamics of a spin-orbit-coupled spin-1 Bose-Einstein condensate
• Supersolidity of dipolar Bose-Einstein condensates induced by coupling to fermions
• Supersolidity of $\alpha$ cluster structure in ${}^{40}$Ca
• Roadmap to vortex nucleation below critical rotation frequency in a dipolar Bose-Einstein condensate
• Competing phases and intertwined orders in coupled wires near the self-dual point
• Double unstable avoided crossings and complex domain patterns formation in spin-orbit coupled spin-1 condensates
• Collective Oscillations of Bose-Einstein Condensates in a Synthetic Magnetic Field
• Striped excitonic (super)solid in anisotropic semiconductors with screened exciton interactions
• Thermal amplification and melting of phases in spin-orbit-coupled spin-1 Bose-Einstein condensates
• ${\mathbb{Z}}_n$ symmetry broken supersolid in spin-orbit-coupled Bose-Einstein condensates
• From elastic to inelastic deformation of a dipolar supersolid
• Interaction effects of pseudospin-based magnetic monopoles and kinks in a doped dipolar superlattice gas
• Supersolid Devil's Staircases of Spin-Orbit-Coupled Bosons in Optical Lattices
• Band-edge superfluid of Bose-Einstein condensates in the spin-orbit-coupled Zeeman lattice
• Dynamics of Supersolid state: normal fluid, superfluid, and supersolid velocities
• Chiral supersolid and dissipative time crystal in Rydberg-dressed Bose-Einstein condensates with Raman-induced spin-orbit coupling
• Finite-temperature phase diagram and collective modes of coherently coupled Bose mixtures
• Transport of magnetically sensitive atoms in a magnetic environment
• Localized States in Dipolar Bose-Einstein Condensates: To be or not to be of second order
• Superfluid Fraction of a 2D Bose-Einstein Condensate in a Triangular Lattice
• Long-range interactions in Weyl dense atomic arrays protected from dissipation and disorder
• Self-Ordered Supersolid in Spinor Condensates with Cavity-Mediated Spin-Momentum-Mixing Interactions
• Roton-Induced Trapping in Strongly Correlated Rydberg Gases
• Self-Assembled Chains and Solids of Dipolar Atoms in a Multilayer
• The synthetic gauge field and exotic vortex phase with spin-orbital-angular-momentum coupling
• Magnetic monopole induced polarons in atomic superlattices
• Finite temperature phases and excitations of bosons on a square lattice: A cluster mean field study
• Long lifetime supersolid in a two-component dipolar Bose-Einstein condensate
• Exotic Quantum States in Spin-1 Bose-Einstein Condensate with Spin-Orbit Coupling in Concentric Annular Traps
• Bloch oscillations in supersolids
• Exact kinetic propagators for coherent state complex Langevin simulations
• Nonlinear modes in spatially confined spin-orbit-coupled Bose-Einstein condensates with repulsive nonlinearity
• Positive-density ground states of the Gross-Pitaevskii equation
• Dynamics of Quantum Droplets in a Quasi-one-dimensional Framework: An Analytical Approach
• Continuous transition and gapless roton inside fractional quantum anomalous Hall states
• Unconventional Spin Dynamics and Supersolid Excitations in the Triangular-Lattice XXZ Model
• Quasi-two-dimensional soliton in a self-repulsive spin-orbit-coupled dipolar binary condensate
• Excitations and anisotropic sound in planar dipolar supersolids with tilted dipoles
• Vorticity-Crystalline Order Coupling in Supersolids: Excitations and Re-entrant Phases
• Dynamic formation of supersolid phase in a mixture of ultracold bosonic and fermionic atoms
• Microscopy of cavity-induced density-wave ordering in ultracold gases
• Dissipation induced elastic-mode instability with topological excitation in holographic non-equilibrium steady cnoidal wave supersolid
• Spin amplitude wave due to dipole-quadrupole hybridization in spin-1 pyrochlore magnets
• Spin-orbit coupled spin-boson model : A variational analysis
• Orbital Optical Raman Lattice
• Control, competition and coexistence of effective magnetic orders by interactions in Bose-Einstein condensates with high-Q cavities
• Optical response of the supersolid polaron
• Supersolid light in a semiconductor microcavity
• Master's Thesis: Excitation Spectrum of a Weakly Interacting Spin-Orbit Coupled Bose-Einstein Condensate
• Models of spin-orbit coupled oligomers
• Bi-Josephson Effect in a Driven-Dissipative Supersolid