Realizing one-dimensional topological superfluids with ultracold atomic gases

Abstract

We propose an experimental implementation of a topological superfluid with ultracold fermionic atoms. An optical superlattice is used to juxtapose a 1D gas of fermionic atoms and a 2D conventional superfluid of condensed Feshbach molecules. The latter acts as a Cooper pair reservoir and effectively induces a superfluid gap in the 1D system. Combined with a spin-dependent optical lattice along the 1D tube and laser-induced atom tunneling, we obtain a topological superfluid phase. In the regime of weak couplings to the molecular fl eld and for a uniform gas the atomic system is equivalent to Kitaev's model of a p-wave superfluid. Using a numerical calculation we show that the topological superfluidity is robust beyond the perturbative limit and in the presence of a harmonic trap. Finally we describe how to investigate some physical properties of the Majorana fermions located at the topological superfluid boundaries. In particular we discuss how to prepare and detect a given Majorana edge state.

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• Artificial gauge fields in materials and engineered systems
• Dynamical Topological Order Parameters far from Equilibrium
• Quantum Spin Dimers from Chiral Dissipation in Cold-Atom Chains
• Majorana nanowires for topological quantum computation
• A long-lived spin-orbit-coupled degenerate dipolar Fermi gas
• Majorana edge states in two atomic wires coupled by pair-hopping
• Nano-Scale `Dark State' Optical Potentials for Cold Atoms
• Dynamic optical lattices of sub-wavelength spacing for ultracold atoms
• Braiding of Atomic Majorana Fermions in Wire Networks and Implementation of the Deutsch-Josza Algorithm
• Dissipative topological superconductors in number-conserving systems
• Stretched exponential decay of Majorana edge modes in many-body localized Kitaev chains under dissipation
• Optical cooling and trapping of highly magnetic atoms: The benefits of a spontaneous spin polarization
• Cavity-mediated unconventional pairing in ultracold fermionic atoms
• Majoranas in Noisy Kitaev Wires
• Entanglement Spectrum Crossings Reveal non-Hermitian Dynamical Topology
• Majorana/Andreev crossover and the fate of the topological phase transition in inhomogeneous nanowires
• Methods for detecting charge fractionalization and winding numbers in an interacting fermionic ladder
• Anisotropic light-shift and magic-polarization of the intercombination line of Dysprosium atoms in a far-detuned dipole trap
• Hybrid Topological Quantum Computation with Majorana Fermions: A Cold Atom Setup
• Topological superfluidity of lattice fermions inside a Bose-Einstein condensate
• Fate of topological states and mobility edges in one-dimensional slowly varying incommensurate potentials
• From Topological Superconductivity to Quantum Hall States in Coupled Wires
• Quantum memories with zero-energy Majorana modes and experimental constraints
• Dynamical Detection of Topological Phase Transitions in Short-Lived Atomic Systems
• Stability of entanglement-spectrum crossing in quench dynamics of one dimensional gapped free-fermion systems
• Effects of Gapless Bosonic Fluctuations on Majorana Fermions in Atomic Wire Coupled to a Molecular Reservoir
• Phase diagram of a generalized off-diagonal Aubry-André model with p-wave pairing
• Anderson localization of Cooper pairs and Majorana fermions in an ultracold atomic Fermi gas with synthetic spin-orbit coupling
• Majorana edge state in a number-conserving Fermi gas with tunable p-wave interaction
• Universal long-time behavior of stochastically driven interacting quantum systems
• Fractional topological insulator precursors in spin-orbit fermion ladders
• ${\mathbb{Z}}_2$ phases and Majorana spectroscopy in paired Bose-Hubbard chains
• Universal Quantum Computation With Majorana Fermion Edge Modes Through Microwave Spectroscopy Of Quasi-1D Cold Gases In Optical Lattices
• Non-equilibrium $8\pi$ Josephson Effect in Atomic Kitaev Wires
• Non-Abelian Majorana fermions in topological $s$-wave Fermi superfluids
• Memory-Critical Dynamical Buildup of Phonon-Dressed Majorana Fermions
• Signatures of quantum phases in a dissipative system
• Adiabatic preparation of a number-conserving atomic Majorana phase