Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
arXiv:1102.5367 · doi:10.1103/PhysRevLett.106.220402
Abstract
We introduce a new approach to create and detect Majorana fermions using optically trapped 1D fermionic atoms. In our proposed setup, two internal states of the atoms couple via an optical Raman transition---simultaneously inducing an effective spin-orbit interaction and magnetic field---while a background molecular BEC cloud generates s-wave pairing for the atoms. The resulting cold atom quantum wire supports Majorana fermions at phase boundaries between topologically trivial and nontrivial regions, as well as `Floquet Majorana fermions' when the system is periodically driven. We analyze experimental parameters, detection schemes, and various imperfections.
4 pages, 3 figures; references added
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- Emergent Kardar-Parisi-Zhang phase in quadratically driven condensates
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- Anomalous Floquet topological crystalline insulators
- Dynamic bulk-boundary correspondence for anomalous Floquet topology
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- An infinite family of 3d Floquet topological paramagnets
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- Transport in a hybrid normal-topological superconductor Kondo model
- Interacting topological frequency converter
- Decay rates of almost strong modes in Floquet spin chains beyond Fermi's Golden Rule
- Quantum Hall criticality in Floquet topological insulators
- Topological edge states at Floquet quantum criticality
- Exactly solving the Kitaev chain and generating Majorana-zero-modes out of noisy qubits
- Particle number fractionalization of a one-dimensional atomic Fermi gas with synthetic spin-orbit coupling
- Dynamical Quantum Anomalous Hall Effect in Strong Optical Fields
- Anomalous topological edge modes in a periodically-driven trimer lattice
- Floquet Engineering with Particle Swarm Optimization: Maximizing Topological Invariants
- Method for finding the exact effective Hamiltonian of time driven quantum systems
- Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with -wave superconductors
- Quantized Floquet topology with temporal noise
- Dynamical Detection of Topological Phase Transitions in Short-Lived Atomic Systems
- Non-equilibrium topological phase transitions in two-dimensional optical lattices
- Josephson-Current Signatures of Unpaired Floquet Majorana Bound States
- Topological phase transition between non-high symmetry critical phases and curvature function renormalization group
- Majorana Doublets, Flat Bands, and Dirac Nodes in s-Wave Superfluids
- Spin resonance under topological driving fields
- Quasiperiodicity hinders ergodic Floquet eigenstates
- Effects of Gapless Bosonic Fluctuations on Majorana Fermions in Atomic Wire Coupled to a Molecular Reservoir
- Photoinduced helical metal and magnetization in two-dimensional electron systems with spin-orbit coupling
- Effective p-wave interaction and topological superfluids in s-wave quantum gases
- In Situ Thermometry of Fermionic Cold-Atom Quantum Wires
- Dynamical Detection of Topological Spectral Density
- Transport signatures in topological systems coupled to AC fields
- Phase diagram of a generalized off-diagonal Aubry-André model with p-wave pairing
- Inducing exceptional points, enhancing plasmon quality and creating correlated plasmon states with modulated Floquet parametric driving
- Floquet topological insulators: from band structure engineering to novel non-equilibrium quantum phenomena
- Topological and dynamical features of periodically driven spin ladders
- Majorana fermions in quasi-1D and higher dimensional ultracold fermionic optical lattices
- Anderson localization of Cooper pairs and Majorana fermions in an ultracold atomic Fermi gas with synthetic spin-orbit coupling
- Intrinsic dissipative Floquet superconductors beyond mean-field theory
- A Universal Model of Floquet Operator Krylov Space
- Stability of topologically protected edge states in nonlinear quantum walks: Additional bifurcations unique to Floquet systems
- Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term
- Interacting Floquet topological phases in three dimensions
- Quantum noise detects Floquet topological phases
- Revealing Majorana Fermion states in a superfluid of cold atoms subject to a harmonic potential
- Gauging anomalous unitary operators
- Unitary Subharmonic Response and Floquet Majorana Modes
- Critical quasienergy states in driven many-body systems
- Majorana edge state in a number-conserving Fermi gas with tunable p-wave interaction
- Simulating Floquet topological phases in static systems
- Combating quasiparticle poisoning with multiple Majorana fermions in a periodically-driven quantum wire
- Topological Qubits with Majorana Fermions in Trapped Ions
- Criticality and Rigidity of Dissipative Discrete Time Crystals in Solids
- Dynamical Fragile Topology in Floquet Crystals
- Chiral spin currents in a trapped-ion quantum simulator using Floquet engineering
- Quench dynamics of Hopf insulators
- Topological phase transition in commensurate multi-frequency Floquet Su-Schrieffer-Heeger model
- Superfluidity of a Raman spin-orbit-coupled Bose gas at finite temperature
- Self-similar phase diagram of the Fibonacci-driven quantum Ising model
- Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
- Floquet Majorana fermions in driven hexagonal lattice systems
- Feasible model for photo-induced interband pairing
- Tunable interface states between Floquet-Weyl semimetals
- Topologically nontrivial and trivial zero modes in chiral molecules
- Manipulating Andreev and Majorana Bound States with microwaves
- Unsupervised identification of Floquet topological phase boundaries
- Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices
- Effect of loss on the topological features of dimer chain described by the extended Aubry-André-Harper model
- Extracting entangled qubits from Majorana fermions in quantum dot chains through the measurement of parity
- Universal long-time behavior of stochastically driven interacting quantum systems
- Floquet topological phase in a generalized PT-symmetric lattice
- Topological Uniform Superfluid and FFLO Phases in 3D to 1D crossover of spin-orbit coupled Fermi gases
- Disorder-induced topology in quench dynamics
- Entropic topological invariant for a gapped one-dimensional system
- Dynamical topological excitations in parafermion chains
- Gapless higher-order topology and corner states in Floquet systems
- Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
- Topologically protected boundary discrete time crystal for a solvable model
- Dynamic structure factor of one-dimensional Fermi superfluid with spin-orbit coupling
- Robust spectral pairing in the random-field Floquet quantum Ising model
- Topological phases in spin-orbit coupled dipolar lattice bosons
- Disconnected entanglement entropy as a marker of edge modes in a periodically driven Kitaev chain
- Floquet Majorana Fermions in superconducting quantum dots
- Dynamical manipulation of Dirac points in the Kitaev honeycomb model
- Microwave-induced conductance replicas in hybrid Josephson junctions without Floquet-Andreev states
- Spin dynamics under the influence of elliptically rotating fields: Extracting the field topology from time-averaged quantities
- Programmable Hamiltonian engineering with quadratic quantum Fourier transform
- Frustration-free Hamiltonians supporting Majorana zero edge modes
- Spin-Orbit Coupling and Topological States in Cold Fermi Gas
- Electron Interaction Effects in Periodically Driven Kitaev Model: Topology Breaking and Enhancement of Quantum Chaos
- Light controlled THz plasmonic time varying media: momentum gaps, entangled plasmon pairs, and pulse induced time reversal
- Anatomy of a periodically driven p-wave superconductor
- Local and energy-resolved topological invariants for Floquet systems
- Perturbative Framework for Engineering Arbitrary Floquet Hamiltonian
- Transport across a system with three p-wave superconducting wires: effects of Majorana modes and interactions
- Non-adiabatic dynamics of superfluid spin-orbit coupled degenerate Fermi gas
- Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
- Quantum gates by periodic driving
- Fractional topological insulator precursors in spin-orbit fermion ladders
- Preparation of topological modes by Lyapunov control
- Coherent multiple-period states in a resonantly driven qubit
- Topological modes and beyond
- Extrinsic topology of Floquet anomalous boundary states in quantum walks
- phases and Majorana spectroscopy in paired Bose-Hubbard chains
- Theory of Anomalous Floquet Higher-Order Topology: Classification, Characterization, and Bulk-Boundary Correspondence
- Measurement based Controlled Not gate for topological qubits in a Majorana fermion quantum-dot hybrid system
- Multimode N00N states in driven atomtronic circuits
- Transport as a sensitive indicator of quantum criticality
- From Nodal Ring Topological Superfluids to Spiral Majorana Modes in Cold Atomic Systems
- Quantum state engineering by periodical two-step modulation in atomic system
- Majorana-magnon interactions in topological Shiba chains
- Tailoring Metal Insulator Transitions Band Topology via Off-resonant Periodic Drive in an Interacting Triangular Lattice
- Universal non-analytic behavior of the non-equilibrium Hall conductance in Floquet topological insulators
- Trapping massless Dirac particles in a rotating saddle
- Majorana edge-modes in a spinful particle conserving model
- Single and multi-frequency driving protocols in a Rashba nanowire proximitized to an s-wave superconductor
- Majorana corner pairs in a two-dimensional -wave cold atomic superfluid
- Floquet non-Abelian topological charges and edge states
- Energy Transfer in Random-Matrix ensembles of Floquet Hamiltonians
- Disorder induced topological phase transition in a driven Majorana chain
- Topological excitations at time vortices in periodically driven systems
- Braids and phase gates through high-frequency virtual tunneling of Majorana Zero Modes
- Exotic Topological States with Raman-Induced Spin-Orbit Coupling
- Universal Quantum Computation With Majorana Fermion Edge Modes Through Microwave Spectroscopy Of Quasi-1D Cold Gases In Optical Lattices
- Dynamical decoupling for realization of topological frequency conversion
- Topological reflection matrix
- Floquet Fractional Chern Insulators and Competing Phases in Twisted Bilayer Graphene
- Implementing Majorana fermions in a cold-atom honeycomb lattice with textured pairings
- Enhancing the Thermal Stability of Majorana Fermions with Redundancy Using Dipoles in Optical Lattices
- Effect of incommensurate disorder on the resonant tunneling through Majorana bound states on the topological superconductor chains
- Topological transitions in two-dimensional Floquet superconductors
- Non-equilibrium Josephson Effect in Atomic Kitaev Wires
- Three-component topological superfluid in one-dimensional Fermi gases with spin-orbit coupling
- 1D topological chains with Majorana fermions in 2D non-topological optical lattices
- Dynamic structure factor of two-dimensional Fermi superfluid with Rashba spin-orbit coupling
- Maximal distant entanglement in Kitaev tube
- Floquet engineering of edge states in the presence of staggered potential and interactions
- Topological quantum phase transitions in a Majorana chain with spatial modulation
- Relation between scattering matrix topological invariants and conductance in Floquet Majorana systems
- Interacting electrons in a flat-band system within the Generalized Kadanoff-Baym Ansatz
- Quantum geometry and geometric entanglement entropy of one-dimensional Floquet topological matter
- Non-Abelian Anyons in Periodically Driven Abelian Spin Liquids
- Effects of dynamical noises on Majorana bound states
- Graphene under bichromatic driving: Commensurability and spatio-temporal symmetries
- Fingerprints of Majorana bound states in quantum-rings
- Moment method and continued fraction expansion in Floquet Operator Krylov Space
- Dynamical characterization of Floquet topological phases via quantum quenches
- A Study of Topological Quantum Phase Transition and Majorana Localization Length for the Interacting Helical Liquid System
- Probing Majorana Modes via Local Spin Dynamics
- Time-dependent potential impurity in topological insulator
- Floquet Product Mode
- Complex-band-structure eigenvalue method adapted to Floquet systems: topological superconducting wires as a case study
- Interband coherence induced correction to Thouless pumping: possible observation in cold-atom systems
- Dynamical Chiral Symmetry and Symmetry-Class Conversion in Floquet Topological Insulators
- Non-Linear Interference Challenging Topological Protection of Chiral Edge States
- Floquet Möbius topological insulators
- Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
- Nonadiabatic braiding of Majorana modes
- Majorana Fermions in Semiconducting Nanowires on the Top of Fulde-Ferrell Superconductor
- Properties of dissipative Floquet Majorana modes using a quantum dot
- Quantized frequency-domain polarization of driven phases of matter
- Engineering Majorana corner modes from two-dimensional hexagonal crystals
- Computing Floquet quasienergies in finite and extended systems: Role of electromagnetic and quantum-geometric gauges
- Combining quantum spin hall effect and superconductivity in few-layer stanene
- Nonequilibrium Dynamics of Ultracold Fermi Superfluids
- Observability of a Sharp Majorana Transition in a Few-Body Model
- Generalized Majorana edge modes in a number-conserving periodically driven -wave superconductor
- Proposal for realizing anomalous Floquet insulators via Chern band annihilation
- Floquet-Engineering Weyl Points and Linked Fermi Arcs from Straight Nodal Lines
- Fermion parity gap and exponential ground state degeneracy of the one-dimensional Fermi gas with intrinsic attractive interaction
- Tuning the topology of -wave superconductivity in an analytically solvable two-band model
- Probing Majorana fermions in the tunneling spectra of a resonant level
- Signatures of quantum phases in a dissipative system
- Loop unitary and phase band topological invariant in generic multi-band Chern insulators
- Extended edge modes and disorder preservation of a symmetry-protected topological phase out of equilibrium
- Quantum-vacuum-protected topological edge polaritons
- Control of Majorana Edge Modes by a g-factor Engineered Nanowire Spin Transistor
- Tunneling Magnetoresistance in Junctions Composed of Ferromagnets and Time-Reversal Invariant Topological Superconductors
- Strong and almost strong modes of Floquet spin chains in Krylov subspaces
- Laser-induced topological phases in monolayer amorphous carbon
- Discrete time crystals detected by time-translation twist
- Dynamics of Majorana zero modes across hybrid Kitaev chain
- Universality in Non-Equilibrium Quantum Systems
- Memory-Critical Dynamical Buildup of Phonon-Dressed Majorana Fermions
- Low-frequency and Moiré Floquet engineering: a review
- Adiabatic modulation of driving protocols in periodically driven quantum systems
- Noise resilience of two-dimensional Floquet topological phases
- Green Function Invariants for Floquet Topological Superconductivity Induced by Proximity Effects
- Peratic Phase Transition by Bulk-to-Surface Response
- Dynamical Symmetry Indicators for Floquet Crystals
- Topological states of generalized dissipative Majorana wires
- Symmetry-protected topological corner modes in a periodically driven interacting spin lattice
- Zero and Nonzero Energy Majorana Modes in an Extended Kitaev Chain
- Adiabatic preparation of a number-conserving atomic Majorana phase
- Liouvillian topology and nonreciprocal dynamics in open Floquet chains
- Ultracold atomic lattice systems for simulating topological phases: A review
- Orbital magnetization of Floquet topological systems
- Floquet second-order topological insulator in strained graphene
- Floquet dynamics of disordered bands with isolated critical energies
- Floquet topological systems with flat bands: Edge modes, Berry curvature, and Orbital magnetization
- 2D Gapless Topological Superfluids Generated by Pairing Phases
- Time-reversal invariant resonant backscattering on a topological insulator surface driven by a time-periodic gate voltage
- Topology and edge modes surviving criticality in non-Hermitian Floquet systems
- Generation, manipulation and detection of snake state trajectories of a neutral atom in a ring-cavity