Topological States in a One-Dimensional Fermi Gas with Attractive Interactions

Abstract

We describe a novel topological superfluid state, which forms in a one-dimensional Fermi gas with Rashba-like spin-orbit coupling, a Zeeman field and intrinsic attractive interactions. In spite of total number conservation and the presence of gapless excitations, Majorana-like zero modes appear in this system and can be linked with interfaces between two distinct phases that naturally form at different regions of the harmonic trap. As a result, the low lying collective excitations of the system, including the dipole oscillations and the long-wavelength phonons, are doubly degenerate. While backscattering from point impurities can lead to a splitting of the degeneracies that scales algebraically with the system size, the smooth confining potential can only cause an exponentially small splitting. We show that the topological state can be uniquely probed by a pumping effect induced by a slow sweep of the Zeeman field from a high initial value down to zero field.

arXiv comment9 pages, 4 figures including supplementary material

References in corpus (17)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• A spin-orbit coupled Bose-Einstein condensate
• Spin-Orbit Coupled Degenerate Fermi Gases
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
• Degenerate Quantum Gases with Spin-Orbit Coupling
• Majorana Zero Modes in 1D Quantum Wires Without Long-Ranged Superconducting Order
• Spin-Orbit Coupling Induced Coherent Production of Feshbach Molecules in a Degenerate Fermi Gas
• A number conserving theory for topologically protected degeneracy in one-dimensional fermions
• Criticality in self-dual sine-Gordon models
• Synthetic Gauge Field with Highly Magnetic Lanthanide Atoms
• Topological superfluid in one-dimensional spin-orbit coupled atomic Fermi gases
• Emergent Lorentz symmetry with vanishing velocity in a critical two-subband quantum wire
• Majorana fermions in one-dimensional spin-orbit coupled Fermi gases

Cited by in corpus (56)

• Topological Bands for Ultracold Atoms
• Milestones toward Majorana-based quantum computing
• Dipolar physics: A review of experiments with magnetic quantum gases
• Majorana Fermions and Topology in Superconductors
• Gapless topological phases and symmetry-enriched quantum criticality
• Intrinsically Gapless Topological Phases
• Gapless Symmetry Protected Topological Order
• A Gapless Symmetry-Protected Topological Phase of Fermions in One Dimension
• Majorana nanowires for topological quantum computation
• A long-lived spin-orbit-coupled degenerate dipolar Fermi gas
• Topological Luttinger Liquids from Decorated Domain Walls
• Localized Majorana-like modes in a number conserving setting: An exactly solvable model
• Dynamical spin-orbit coupling of a quantum gas
• Topological states in a microscopic model of interacting fermions
• Topological degeneracy and pairing in a one-dimensional gas of spinless Fermions
• Gauging the Kitaev chain
• Topological and symmetry-enriched random quantum critical points
• Multiple signatures of topological transitions for interacting fermions in chain lattices
• From one-dimensional charge conserving superconductors to the gapless Haldane phase
• Probability and (Braiding) Statistics in Majorana nanowires
• Transport through a quantum dot coupled to two Majorana bound states
• Interaction-driven topological superconductivity in one dimension
• Simulating Chiral Magnetic and Separation Effects with Spin-Orbit Coupled Atomic Gases
• Fusion rules in a Majorana single-charge transistor
• Phase Diagram and Entanglement of two interacting topological Kitaev chains
• Odd-parity superconductivity near inversion breaking quantum critical point in one dimension
• Traveling Majorana solitons in a one-dimensional spin-orbit coupled Fermi superfluid
• Flux-Stabilized Majorana Zero Modes in Coupled One-Dimensional Fermi Wires
• Topological Superfluid and Majorana Zero Modes in Synthetic Dimension
• Spin structure of harmonically trapped one-dimensional atoms with spin-orbit coupling
• Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson
• Two-fluid coexistence in a spinless fermions chain with pair hopping
• Boundary deconfined quantum criticality at transitions between symmetry-protected topological chains
• Topology and the one-dimensional Kondo-Heisenberg model
• Pairing in spin chains and spinless fermions with next-nearest neighbour interactions
• Ising anyonic topological phase of interacting Fermions in one dimension
• Boundary-Induced Topological and Mid-Gap States in Charge Conserving One-Dimensional Superconductors
• Unique Signatures of Topological Phases in Two-Dimensional THz Spectroscopy
• Majorana edge state in a number-conserving Fermi gas with tunable p-wave interaction
• Statistically induced topological phase transitions in a one-dimensional superlattice anyon-Hubbard model
• Two-fluid coexistence and phase separation in a one dimensional model with pair hopping and density interactions
• Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension
• Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
• Coulomb-interaction-induced Majorana edge modes in nanowires
• Topological end states in a one-dimensional spatially modulated interaction spinless fermion model
• Interaction-induced phase transitions at topological quantum criticality of an extended Su-Schrieffer-Heeger model
• Dynamical signatures of ground-state degeneracy to discriminate against Andreev levels in a Majorana fusion experiment
• Many-body Majorana-like zero modes without gauge symmetry breaking
• Fusion Rules of Majorana-Kramer-Pairs in Time-Reversal-Invariant Topological Superconductors
• Observability of a Sharp Majorana Transition in a Few-Body Model
• Fermion parity gap and exponential ground state degeneracy of the one-dimensional Fermi gas with intrinsic attractive interaction
• Topological phase transition based on the attractive Hubbard model
• Adiabatic preparation of a number-conserving atomic Majorana phase
• Generation, manipulation and detection of snake state trajectories of a neutral atom in a ring-cavity
• Fate of Majorana zero modes by a modified real-space-Pfaffian method and mobility edges in a one-dimensional quasiperiodic lattice
• Topological superconducting phase in a non-Hermitian Kitaev chain with staggered pairing imbalance