Curved vortex surfaces in four-dimensional superfluids: I. Unequal-frequency double rotations
arXiv:2309.08015 · doi:10.1103/PhysRevA.110.013325
Abstract
The study of superfluid quantum vortices has long been an important area of research, with previous work naturally focusing on two-dimensional and three-dimensional systems, where rotation stabilises point vortices and line vortices respectively. Interestingly, this physics generalises for a hypothetical four-dimensional (4D) superfluid to include vortex planes, which can have a much richer phenomenology. In this paper, we study the possibility of skewed and curved vortex planes, which have no direct analogue in lower dimensions. By analytically and numerically studying the 4D Gross-Pitaevskii equation, we show that such vortex surfaces can be stabilised and favoured by double rotation with unequal rotation frequencies. Our work raises open questions for further research into the physics of these vortex surfaces and suggests interesting future extensions to tilted vortex surfaces under equal-frequency double rotation and to more realistic 4D models.
First article in a series of two papers
References in corpus (99)
- Topological Photonics
- Artificial gauge potentials for neutral atoms
- Vortex formation in a stirred Bose-Einstein condensate
- Vortices in a Bose-Einstein Condensate
- Topological States and Adiabatic Pumping in Quasicrystals
- Spinor Bose-Einstein condensates
- Topological Bands for Ultracold Atoms
- Watching dark solitons decay into vortex rings in a Bose-Einstein condensate
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Topological Thouless Pumping of Ultracold Fermions
- Rapidly Rotating Atomic Gases
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Synthetic gauge fields in synthetic dimensions
- Photons Walking the Line: A quantum walk with adjustable coin operations
- A Four Dimensional Generalization of the Quantum Hall Effect
- Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
- Synthetic Dimension in Photonics
- Observation of the topological soliton state in the Su-Schrieffer-Heeger model
- Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
- Topological quantum matter in synthetic dimensions
- Stationary states of a rotating Bose-Einstein condensate: routes to vortex nucleation
- Photonic Topological Insulator in Synthetic Dimensions
- Observation of Topological Phase Transitions in Photonic Quasicrystals
- Synthetic dimensions in integrated photonics: From optical isolation to 4D quantum Hall physics
- Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
- Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
- Quantum simulation of an extra dimension
- A single photonic cavity with two independent physical synthetic dimensions
- Topological Equivalence between the Fibonacci Quasicrystal and the Harper Model
- Synthetic dimensions and spin-orbit coupling with an optical clock transition
- Spin-orbit coupled fermions in an optical lattice clock
- Photonic gauge potential in a system with a synthetic frequency dimension
- Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal
- Four-Dimensional Quantum Hall Effect with Ultracold Atoms
- Topological Pumping over a Photonic Fibonacci Quasicrystal
- Experimental Measurement of the Berry Curvature from Anomalous Transport
- Quantum Hall Effect in Higher Dimensions
- Matter-wave diffraction from a quasicrystalline optical lattice
- Quantum simulation of 2d topological physics using orbital-angular-momentum-carrying photons in a 1d array of cavities
- Direct observation of chiral currents and magnetic reflection in atomic flux lattices
- Photon propagation in a discrete fiber network: An interplay of coherence and losses
- Circuit Implementation of a Four-Dimensional Topological Insulator
- Observation of a non-Abelian Yang Monopole: From New Chern Numbers to a Topological Transition
- Dynamics of a single vortex line in a Bose-Einstein condensate
- Probing chiral edge dynamics and bulk topology of a synthetic Hall system
- Synthetic Dimensions for Cold Atoms from Shaking a Harmonic Trap
- Topological one-way fiber of second Chern number
- Spectral photonic lattices with complex long-range coupling
- Helicity conservation by flow across scales in reconnecting vortex links and knots
- Realizing Su-Schrieffer-Heeger topological edge states in Rydberg-atom synthetic dimensions
- 4D spinless topological insulator in a periodic electric circuit
- Synthetic space with arbitrary dimensions in a few rings undergoing dynamic modulation
- Vortex knots in a Bose-Einstein condensate
- Atom-optics simulator of lattice transport phenomena
- An atom optics approach to studying lattice transport phenomena
- Realization of a density-dependent Peierls phase in a synthetic, spin-orbit coupled Rydberg system
- Observation of momentum-space chiral edge currents in room-temperature atoms
- Revealing tensor monopoles through quantum-metric measurements
- Topological Creutz Ladder in a Resonantly Shaken 1D Optical Lattice
- Superradiance Lattice
- Four-Dimensional Higher-Order Chern Insulator and Its Acoustic Realization
- Synthetic dimensions in ultracold molecules: quantum strings and membranes
- Experimental observation of one-dimensional superradiance lattices in ultracold atoms
- Dynamically manipulating topological physics and edge modes in a single degenerate optical cavity
- Synthetic dimension band structures on a Si CMOS photonic platform
- Synthetic Dimensions with Magnetic Fields and Local Interactions in Photonic Lattices
- (Non)-universality of vortex reconnections in superfluids
- Second Chern Number and Non-Abelian Berry Phase in Topological Superconducting Systems
- Exploring 2D synthetic quantum Hall physics with a quasi-periodically driven qubit
- Boundary states of 4D topological matter: Emergence and full 3D-imaging of nodal Seifert surfaces
- Electric circuit simulations of th-Chern insulators in -dimensional space and their non-Hermitian generalizations for arbitral
- Coherent transfer between low-angular momentum and circular Rydberg states
- Global Defect Topology in Nematic Liquid Crystals
- Topological energy conversion through bulk or boundary of driven systems
- Half-integer quantized topological response in quasiperiodically driven quantum systems
- Irreversible dynamics of vortex reconnections in quantum fluids
- Setting Boundaries with Memory: Generation of Topological Boundary States in Floquet-Induced Synthetic Crystals
- Four-dimensional semimetals with tensor monopoles: From surface states to topological responses
- Single and Multiple Vortex Rings in Three-Dimensional Bose-Einstein Condensates: Existence, Stability and Dynamics
- Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons
- Realization of an atomic quantum Hall system in four dimensions
- The quantized Hall conductance of a single atomic wire: A proposal based on synthetic dimensions
- Robust Vortex Lines, Vortex Rings and Hopfions in 3D Bose-Einstein Condensates
- Efficient algorithm to compute the second Chern number in four dimensional systems
- Superfluidity of Light and its Break-Down in Optical Mesh Lattices
- Measuring second Chern number from non-adiabatic effects
- Four-dimensional topological lattices through connectivity
- Bose-Hubbard physics in synthetic dimensions from interaction Trotterization
- Exceptional Cones in 4D Parameter Space
- Torus quantum vortex knots in the Gross-Pitaevskii model for Bose-Einstein condensates
- Arbitrary synthetic dimensions via multi-boson dynamics on a one-dimensional lattice
- Maximum Likelihood Estimates for Gaussian Mixtures Are Transcendental
- Revealing the boundary Weyl physics of the four-dimensional Hall effect via phason engineering in metamaterials
- Superfluid Vortices in Four Spatial Dimensions
- A matching theory to characterize sound emission during vortex reconnection in quantum fluids
- Synthetic dimensions and topological chiral currents in mesoscopic rings
- Generalization of the Fermi Pseudopotential
- Curved vortex surfaces in four-dimensional superfluids: II. Equal-frequency double rotations