Probing Atomic Majorana Fermions in Optical Lattices

Abstract

We introduce a one-dimensional system of fermionic atoms in an optical lattice whose phase diagram includes topological states of different symmetry classes. These states can be identified by their zero-energy edge modes which are Majorana fermions. We propose several universal methods of detecting the Majorana edge states, based on their genuine features: zero-energy, localized character of the wave functions, and induced non-local fermionic correlations.

Published version

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• Majorana edge states in two atomic wires coupled by pair-hopping
• Engineering and probing non-Abelian chiral spin liquids using periodically driven ultracold atoms
• Braiding of Atomic Majorana Fermions in Wire Networks and Implementation of the Deutsch-Josza Algorithm
• Dynamics of almost strong edge modes in spin chains away from integrability
• Symmetry-protected Topological Phases at Finite Temperature
• Majoranas in Noisy Kitaev Wires
• A proposal to probe quantum non-locality of Majorana fermions in tunneling experiments
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• Methods for detecting charge fractionalization and winding numbers in an interacting fermionic ladder
• Majorana Quasi-Particles Protected by ${\mathbb{Z}}_2$ Angular Momentum Conservation
• Identifying topological edge states in 2D optical lattices using light scattering
• Signatures of topological phase transition on a quantum critical line
• Hybrid Topological Quantum Computation with Majorana Fermions: A Cold Atom Setup
• Dissipative preparation of many-body Floquet Chern insulators
• Seeing Majorana fermions in time-of-flight images of spinless fermions coupled by s-wave pairing
• Engineered Open Systems and Quantum Simulations with Atoms and Ions
• Dynamical generation of Majorana edge correlations in a ramped Kitaev chain coupled to nonthermal dissipative channels
• Quantum memories with zero-energy Majorana modes and experimental constraints
• Topological phase transition between non-high symmetry critical phases and curvature function renormalization group
• Non-Abelian fermion parity interferometry of Majorana bound states in a Fermi sea
• Effects of Gapless Bosonic Fluctuations on Majorana Fermions in Atomic Wire Coupled to a Molecular Reservoir
• End-to-end correlations in the Kitaev chain
• Universal long-time behavior of stochastically driven interacting quantum systems
• Topological phases in spin-orbit coupled dipolar lattice bosons
• Preparation of topological modes by Lyapunov control
• Quantum gates by periodic driving
• Universal Quantum Computation With Majorana Fermion Edge Modes Through Microwave Spectroscopy Of Quasi-1D Cold Gases In Optical Lattices
• Enhancing the Thermal Stability of Majorana Fermions with Redundancy Using Dipoles in Optical Lattices
• Implementing Majorana fermions in a cold-atom honeycomb lattice with textured pairings
• Two-dimensional Paired Topological Superfluids of Rydberg Fermi Gases
• Boosted one dimensional superfluids on a lattice
• Quantum Degenerate Majorana Surface Zero Modes in Two-Dimensional Space
• Adiabatic preparation of a number-conserving atomic Majorana phase
• Localization and multifractal properties of the long-range Kitaev chain in the presence of an Aubry-André-Harper modulation