Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms

Abstract

We show that in s-wave superfluids of cold fermionic atoms with laser-field-generated effective spin-orbit interactions, a topological phase with gapless edge states and Majorana fermion quasiparticles obeying the non-Abelian statistics is realized in the case with a large Zeeman magnetic field. Our scenario provides a promising approach for quantum computation manipulating non-Abelian anyons via an s-wave Feshbach resonance.

5 pages, 2 figures. Some minor improvements were made

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Cited by in corpus (244)

• Non-Hermitian Physics
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• Introduction to topological superconductivity and Majorana fermions
• Degenerate Quantum Gases with Spin-Orbit Coupling
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• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• Dipolar physics: A review of experiments with magnetic quantum gases
• Non-Hermitian topological phenomena: A review
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
• Majorana qubit decoherence by quasiparticle poisoning
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Search for Majorana fermions in multiband semiconducting nanowires
• Stable Topological Superfluid Phase of Ultracold Polar Fermionic Molecules
• InAs-Al Hybrid Devices Passing the Topological Gap Protocol
• Topological Superconductivity in Two-Dimensional Altermagnetic Metals
• Unconventional Superconductivity in UTe2
• SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
• Realization of ideal Weyl semimetal band in ultracold quantum gas with 3D Spin-Orbit coupling
• Topological orbital ladders
• Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states
• Exotic quantum spin models in spin-orbit-coupled Mott insulators
• Anomalous Andreev bound state in non-centrosymmetric superconductors
• Manipulating Topological Edge Spins in One-Dimensional Optical Lattice
• Time-Reversal-Invariant $Z_4$ Fractional Josephson Effect
• Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
• Probing non-Abelian statistics of Majorana fermions in ultracold atomic superfluid
• Surface density of states and topological edge states in non-centrosymmetric superconductors
• Projective non-Abelian Statistics of Dislocation Defects in a Z_N Rotor Model
• Majorana Fermions in Nodal Superconductors: Gapless Topological Phase
• Majorana bound states and non-local spin correlations in a quantum wire on an unconventional superconductor
• A road to reality with topological superconductors
• Majorana nanowires for topological quantum computation
• Chiral Rashba spin textures in ultra-cold Fermi gases
• Unconventional superfluid in a two-dimensional Fermi gas with anisotropic spin-orbit coupling and Zeeman fields
• Quantum Thermal Hall Effect in a Time-Reversal-Symmetry-Broken Topological Superconductor in Two Dimensions : Approach From Bulk Calculations
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• Crossed surface flat bands of Weyl semimetal superconductors
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• Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in open systems
• Majorana Fermions in Chiral Topological Ferromagnetic Nanowires
• Superconductivity and Local Inversion-Symmetry Breaking
• First- and Second-Order Topological Superconductivity and Temperature-Driven Topological Phase Transitions in the Extended Hubbard Model with Spin-Orbit Coupling
• Theory of Majorana zero modes in unconventional superconductors
• Unpaired Floquet Majorana fermions without magnetic fields
• Majorana fermions in ferromagnetic chains on the surface of bulk spin-orbit coupled $s$-wave superconductors
• Detecting Majoranas in 1D wires by charge sensing
• Local and non-local quantum transport due to Andreev bound states in finite Rashba nanowires with superconducting and normal sections
• Interplay of topological phases in magnetic adatom-chains on top of a Rashba superconducting surface
• Topological indices, defects and Majorana fermion in chiral superconductors
• Majorana Braiding Dynamics on Nanowires
• Realization of Qi-Wu-Zhang model in spin-orbit-coupled ultracold fermions
• Magnetotransport and induced superconductivity in Bi based three-dimensional topological insulators
• Topological minigap in quasi-one-dimensional spin-orbit-coupled semiconductor Majorana wires
• Enhancing the Josephson diode effect with Majorana bound states
• Topological crystalline superconductivity in locally noncentrosymmetric CeRh${}_2$As${}_2$
• In search of Majorana
• Majorana surface states of superfluid 3He A- and B-phases in a slab
• Majorana bound states in semiconducting nanostructures
• Majorana fermions in one-dimensional spin-orbit coupled Fermi gases
• Universal impurity-induced bound state in topological superfluids
• Topological superfluid in a Fermi-Bose mixture with a high critical temperature
• Flat Majorana bands in 2-d lattices with inhomogeneous magnetic fields: topology and stability
• Emerging Dirac and Majorana fermions for carbon nanotubes with proximity-induced pairing and spiral magnetic field
• Unusual $H$-$T$ phase diagram of CeRh${}_2$As${}_2$ -- the role of staggered non-centrosymmetricity
• Dynamical topological phases in quenched spin-orbit coupled degenerate Fermi gas
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Splitting and oscillation of Majorana zero modes in the p-wave BCS-BEC evolution with plural vortices
• Topological superconductivity in quasicrystals
• Berezinskii-Kosterlitz-Thouless Phase Transition in 2D Spin-Orbit Coupled Fulde-Ferrell Superfluids
• Superconducting doped topological materials
• Manipulating Majorana Fermions in Quantum Nanowires with Broken Inversion Symmetry
• Topological properties of the long-range Kitaev chain with Aubry-André-Harper modulation
• Robustness of Majorana Modes and Minigaps in a Spin-Orbit-Coupled Semiconductor-Superconductor Heterostructure
• Pairing Superfluidity in Spin-Orbit Coupled Ultracold Fermi Gases
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• Disentangling Majorana fermions from conventional zero energy states in semiconductor quantum wires
• Molecule and polaron in a highly polarized two-dimensional Fermi gas with spin-orbit coupling
• Topological superfluids on a lattice with non-Abelian gauge fields
• Prediction of intrinsic topological superconductivity in Mn-doped GeTe monolayer from first-principles
• Electrically tunable topological superconductivity and Majorana fermions in two dimensions
• On the bulk boundary correspondence and the existence of Majorana bound states on the edges of 2D topological superconductors
• Topological Superconductivity Induced by Magnetic Texture Crystals
• Chain of Majorana States from Superconducting Dirac Fermions at a Magnetic Domain Wall
• Dissipative Floquet Majorana modes in proximity-induced topological superconductors
• Topological orders competing for the Dirac surface state in FeSeTe surfaces
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Ferroelectricity-tuned band topology and superconductivity in two-dimensional materials and related heterostructures
• Dynamical generation of dark solitons in spin-orbit-coupled Bose-Einstein condensates
• Pinning of Andreev bound states to zero energy in two-dimensional superconductor-semiconductor Rashba heterostructures
• Magnetic field dependence of Raman coupling in Alkali atoms
• Three-component Ultracold Fermi Gases with Spin-Orbit Coupling
• Missing Shapiro steps and the $8\pi$-periodic Josephson effect in interacting helical electron systems
• Josephson transistor from the superconducting diode effect in domain wall and skyrmion magnetic racetracks
• Gapless topological Fulde-Ferrell superfluidity induced by in-plane Zeeman field
• Zeeman field induced topological phase transitions in triplet superconductors
• Supercurrent-induced topological phase transitions
• $AbInitio$ Simulation of Non-Abelian Braiding Statistics in Topological Superconductors
• Decoherence Patterns of Topological Qubits from Majorana Modes
• Prevalence of trivial zero-energy sub-gap states in non-uniform helical spin chains on the surface of superconductors
• Entanglement modes and topological phase transitions in superconductors
• Manipulating Majorana fermions in one-dimensional spin-orbit coupled atomic Fermi gases
• Dissipative preparation of many-body Floquet Chern insulators
• Majorana bound states in a superconducting Rashba nanowire in the presence of antiferromagnetic order
• Topological superfluidity of lattice fermions inside a Bose-Einstein condensate
• Theory of tunneling spectroscopy for chiral topological superconductors
• Quantum Control in Open and Periodically Driven Systems
• Odd-frequency Cooper pair amplitude around a vortex core in a chiral p-wave superconductor in the quantum limit
• Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice
• Dynamical generation of Majorana edge correlations in a ramped Kitaev chain coupled to nonthermal dissipative channels
• Majorana zero modes bound to a vortex line in a topological superconductor
• Majorana bound states in germanium Josephson junctions via phase control
• Probing Majorana-like states in quantum dots and quantum rings
• Origin of Topological Surface Superconductivity in FeSe${}_{0.45}$Te${}_{0.55}$
• Unusual Zeeman-field effects in two-dimensional spin-orbit-coupled Fermi superfluids
• Floquet FFLO superfluids and Majorana fermions in a shaken fermionic optical lattice
• Manipulation of Majorana Kramers Qubit and its Tolerance in Time-Reversal-Invariant Topological Superconductor
• Topological Phase Transitions and a Two-Dimensional Weyl Superconductor in a Half-Metal/Superconductor Heterostructure
• Quantum geometry encoded to pair potentials
• Dimerization-induced topological superconductivity in a Rashba nanowire
• Index theorem for topological heterostructure systems
• Self-consistent study of Abelian and non-Abelian order in a two-dimensional topological superconductor
• Superfluid density and Berezinskii-Kosterlitz-Thouless transition of a spin-orbit coupled Fulde-Ferrell superfluid
• Transport in a hybrid normal-topological superconductor Kondo model
• Josephson Coupled Moore-Read States
• Universal characteristics of one-dimensional non-Hermitian superconductors
• Z${}_2$ index theorem for Majorana zero modes in a class D topological superconductor
• Andreev Bound states in One Dimensional Topological Superconductor
• Topological superconductivity at finite temperatures in proximitized magnetic nanowires
• Pairing sizes in attractively interacting Fermi gases with Spin-orbit Couplings
• Spin-orbit-coupled topological Fulde-Ferrell states of fermions in a harmonic trap
• Supersymmetry in Closed Chains of Coupled Majorana Modes
• Josephson diode effect with Andreev and Majorana bound states
• Topological superconducting phases and Josephson effect in curved time-reversal-invariant superconductors
• Magnetic response of Majorana Kramers pairs with an order-two symmetry
• Electrical manipulation of Majorana fermions in an interdigitated superconductor-ferromagnet device
• Topological phase transition in the quench dynamics of a one-dimensional Fermi gas
• Searching for two-dimensional Weyl superconductors in heterostructures
• Type-I and type-II topological nodal superconductors with $s$-wave interaction
• An experimental proposal to observe non-abelian statistics of Majorana-Shockley fermions in an optical lattice
• Ferroelectric topological superconductor
• Topological thermoelectric effects in spin-orbit coupled electron and hole doped semiconductors
• Trapping Majorana Zero Modes in Vortices of Magnetic Texture Crystals Coupled to Nodal Superconductors
• Orbital angular momentum in a nonchiral topological superconductor
• Supercurrent-induced Skyrmion dynamics and Tunable Weyl points in Chiral Magnet with Superconductivity
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• BEC-BCS crossover in a p+ip-wave pairing Hamiltonian coupled to bosonic molecular pairs
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Signatures of pairing and spin-orbit coupling in correlation functions of Fermi gases
• Superfluidity of a Raman spin-orbit-coupled Bose gas at finite temperature
• First principles study of topological phase in chains of $3d$ transition metals
• Probing the chirality of 1D Majorana edge states around a 2D nanoflake in a superconductor
• Topological Superconductivity in Monolayer T${}_{\text{d}}$-MoTe${}_2$
• Tunability of Andreev levels via spin-orbit coupling in Zeeman-split Josephson junctions
• Mobile magnetic impurities in a Fermi superfluid: a route to designer molecules
• Unitary preparation of many body Chern insulators: Adiabatic bulk boundary correspondence
• Optical spin transport theory of spin-1/2 topological Fermi superfluids
• Protected Solid-State Qubits
• Boundary-dependent dynamical instability of bosonic Green's function: Dissipative Bogoliubov-de Gennes Hamiltonian and its application to non-Hermitian skin effect
• Tunable boson-assisted finite-range interaction and engineering Majorana corner modes in optical lattices
• Universal phase diagram of topological superconductors subjected to magnetic flux
• Topological superconductivity from transverse optical phonons in oxide heterostructures
• Induced topological order at the boundary of 3D topological superconductors
• Topological s-wave pairing superconductivity with spatial inhomogeneity: Mid-gap-state appearance and robustness of superconductivity
• BCS-BEC crossover and quantum phase transition in an ultracold Fermi gas under spin-orbit coupling
• Magnetoelectric Response in Electric Octupole State: Possible Hidden Order in Cuprate Superconductors
• Local Raman Spectroscopy of Chiral Majorana Edge Modes in Kitaev Spin Liquids and Topological Superconductors
• Nonlinear optical responses in superconductors under magnetic fields: quantum geometry and topological superconductivity
• Self-consistent study of topological superconductivity in two-dimensional quasicrystals
• Majorana edge-modes in a spinful particle conserving model
• Majorana-Weyl cones in ferroelectric superconductors
• Chiral topological superconducting state with Chern number $\mathcal{C}=-2$ in Pb${}_3$Bi/Ge(111)
• Bound fermion states in pinned vortices in the surface states of a superconducting topological insulator: The Majorana bound state
• Majorana corner pairs in a two-dimensional $s$-wave cold atomic superfluid
• Coexistence of Chiral Majorana Edge States and Bogoliubov Fermi Surfaces in Two-Dimensional Nonsymmorphic Dirac Semimetal/Superconductor Heterostructures
• Interplay between exchange split Dirac and Rashba-type surface states in MnBi${}_2$Te${}_4$/BiTeI interface
• Mixed higher-order topology and nodal and nodeless flat band topological phases in a superconducting multiorbital model
• Enhanced $2\pi$-periodic Aharonov-Bohm Effect as a Signature of Majorana Zero Modes Probed by Nonlocal Measurements
• Single and multi-frequency driving protocols in a Rashba nanowire proximitized to an s-wave superconductor
• Majorana modes in striped two-dimensional inhomogeneous topological superconductors
• Braiding Induced by Finite-Size Effect in One-Dimensional Topological Superconductors
• Significance of dressed molecules in a quasi-two-dimensional polarized Fermi gas
• Exotic Topological States with Raman-Induced Spin-Orbit Coupling
• All-electrical spectroscopy of topological phases in semiconductor-superconductor heterostructures
• Tunable topological phases with fermionic atoms in a one-dimensional flux lattice
• Edge supercurrent in Josephson junctions based on topological materials
• Controllable Majorana vortex states in iron-based superconducting nanowires
• Charge-impurity-induced Majorana fermions in topological superconductors
• Quantized Thermal Hall Conductance and the Topological Phase Diagram of a Superconducting Bismuth Bilayer
• Hall conductivity in the normal and superconducting phases of the Rashba system with Zeeman field
• Dominant Majorana bound energy and critical current enhancement in ferromagnetic-superconducting topological insulator
• Tomasch Oscillations as Above-Gap Signature of Topological Superconductivity
• Bulk-boundary correspondence in topological systems with the momentum dependent energy shift
• Three-component topological superfluid in one-dimensional Fermi gases with spin-orbit coupling
• Two-dimensional Paired Topological Superfluids of Rydberg Fermi Gases
• Majorana transport in superconducting nanowire with Rashba and Dresselhaus spin-orbit couplings
• Weyl superconductivity and quasiperiodic Majorana arcs in quasicrystals
• Spin singlet topological superconductivity in the attractive Rashba Hubbard model
• Majorana Spin Current Generation by Dynamic Strain
• Pairing properties of an odd-frequency superfluid Fermi gas
• Theoretical proposal to obtain strong Majorana evidence from scanning tunneling spectroscopy of a vortex with a dissipative environment
• Spin Signature of Majorana Fermions in Topological Nodal-Point Superconductors
• Noise-Tolerance of Majorana Teleportation in Mesoscopic Topological Superconductors
• Representation-protected topology of spin-singlet $s$-wave superconductors
• From Majorana fermions to topological quantum computation in semiconductor/superconductor heterostructures
• Interaction- and phonon-induced topological phase transitions in double helical liquids
• Many-body Majorana-like zero modes without gauge symmetry breaking
• Majorana bound states and zero-bias conductance peaks in superconductor/semiconductor nanowire devices
• Topological orbital superfluid with chiral d-wave order in a rotating optical lattice
• Odd-parity topological superfluidity for fermions in a bond-centered square optical lattice
• Topological phases of many-body non-Hermitian systems
• Non-Hermitian topological superconductivity with symmetry-enriched spectral and eigenstate features
• Topological phases in twisted Rashba superconductors
• Stabilizing Topological Superfluidity of Lattice Fermions
• Vertex correction for the linear and nonlinear optical responses in superconductors: multiband effect and topological superconductivity
• Fusion Rules of Majorana-Kramer-Pairs in Time-Reversal-Invariant Topological Superconductors
• Gapless superconductivity and its real-space topology in quasicrystals
• Engineering Majorana corner modes from two-dimensional hexagonal crystals
• Zero-energy Majorana states in a one-dimensional quantum wire with charge density wave instability
• Geometric and computational aspects of chiral topological quantum matter
• Topological in-gap chiral edge states in superconducting Haldane model with spin-orbit coupling
• Cartesian Nodal Lines and Magnetic Kramers Weyl Nodes in Spin-Split Antiferromagnets
• A hierarchy in Majorana non-abelian tests and hidden variable models
• Andreev bound states at boundaries of polarized 2D Fermi superfluids with s-wave pairing and spin-orbit coupling
• Supercurrent reversal in Zeeman-split Josephson junctions
• Engineering Helical Superconductors with Multiple Majorana Kramers Pairs via Higher-Order Rashba Spin-Orbit Coupling
• Optical-vortex-pulse induced nonequilibrium spin textures in spin-orbit coupled electrons
• Majorana bound states in the presence of the half-smeared potential
• Chiral topological superconductivity in twisted bilayer and double bilayer graphene
• Rashba spin-orbit coupling and artificially engineered topological superconductors
• Gap Anisotropy in Layered Superconductors Due to Rashba and Dresselhaus Spin-Orbit Interactions
• Majorana Bound State leakage to impurity in Su-Schrieffer-Heeger-Rashba scenario
• Generation, manipulation and detection of snake state trajectories of a neutral atom in a ring-cavity
• s- and p-superfluidity of Fermi atoms in Bose-Fermi mixtures
• Nodal Line Topological Superfluid and Multiply Protected Majorana Fermi Arc in a Three-Dimensional Time-Reversal-Invariant Superfluid Model
• Interplay of Rashba spin-orbit coupling and Coulomb interaction in topological spin-triplet excitonic condensates
• Entanglement dynamics in minimal Kitaev chains
• Signatures of topological phase transitions in the s-wave superconductor at finite temperature
• Topological superconducting phase in a non-Hermitian Kitaev chain with staggered pairing imbalance
• 2D Gapless Topological Superfluids Generated by Pairing Phases
• Identification of the Majorana edge modes in tight-binding systems based on the Krylov method
• Topological superfluids in two-dimensional Fermi gas with Rashba spin-orbit coupling
• Zero energy modes with Gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes