Holographic optical traps for atom-based topological Kondo devices
arXiv:1511.06574 · doi:10.1088/1367-2630/18/7/075012
Abstract
The topological Kondo (TK) model has been proposed in solid-state quantum devices as a way to realize non-Fermi liquid behaviors in a controllable setting. Another motivation behind the TK model proposal is the demand to demonstrate the quantum dynamical properties of Majorana fermions, which are at the heart of their potential use in topological quantum computation. Here we consider a junction of crossed Tonks-Girardeau gases arranged in a star-geometry (forming a Y -junction), and we perform a theoretical analysis of this system showing that it provides a physical realization of the topological Kondo model in the realm of cold atom systems. Using computer-generated holography, we experimentally implement a Y-junction suitable for atom trapping, with controllable and independent parameters. The junction and the transverse size of the atom waveguides are of the order of 5 micrometers, leading to favorable estimates for the Kondo temperature and for the coupling across the junction. Since our results show that all the required theoretical and experimental ingredients are available, this provides the demonstration of an ultracold atom device that may in principle exhibit the topological Kondo effect.
20 pages, 3 figures. v2: main text expanded, references added
References in corpus (66)
- Non-Abelian Anyons and Topological Quantum Computation
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Cold bosonic atoms in optical lattices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Helical liquids and Majorana bound states in quantum wires
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Search for Majorana fermions in superconductors
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- Bosonization and Strongly Correlated Systems
- Majorana Zero Modes and Topological Quantum Computation
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- The cold atom Hubbard toolbox
- Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
- Introduction to topological superconductivity and Majorana fermions
- Bose-Einstein condensation of atoms in a uniform potential
- Realization of an Excited, Strongly-Correlated Quantum Gas Phase
- Superfluid-insulator transition in a periodically driven optical lattice
- Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
- Strongly Correlated Quantum Walks in Optical Lattices
- Single-atom imaging of fermions in a quantum-gas microscope
- Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
- Flux-controlled quantum computation with Majorana fermions
- Coulomb-assisted braiding of Majorana fermions in a Josephson junction array
- Single-atom trapping in holographic 2D arrays of microtraps with arbitrary geometries
- Majorana qubit decoherence by quasiparticle poisoning
- Controlling non-Abelian statistics of Majorana fermions on Majorana dimer lattices
- Topological Kondo effect with Majorana fermions
- Parity lifetime of bound states in a proximitized semiconductor nanowire
- A high-accuracy algorithm for designing arbitrary holographic atom traps
- Holographic generation of micro-trap arrays for single atoms
- Josephson effect in fermionic superfluids across the BEC-BCS crossover
- Junctions of three quantum wires
- Junctions of three quantum wires and the dissipative Hofstadter model
- Dynamic Manipulation of Bose-Einstein Condensates With a Spatial Light Modulator
- Meson Decay in 2+1 Flavor Lattice QCD
- Robust Digital Holography For Ultracold Atom Trapping
- Multi-Terminal Coulomb-Majorana Junction
- Expectation Values in the Lieb-Liniger Bose Gas
- Majorana-Klein hybridization in topological superconductor junctions
- Multi-channel Kondo impurity dynamics in a Majorana device
- Bose-Einstein Condensation on inhomogeneous complex networks
- Bosonization and Scale Invariance on Quantum Wires
- Integrated coherent matter wave circuits
- Solution of the Multichannel Coqblin-Schrieffer Impurity Model and Application to Multi-Level systems
- Dynamics of one-dimensional Bose liquids: Andreev-like reflection at Y-junctions and absence of the Aharonov-Bohm effect
- Quantum spins on star graphs and the Kondo model
- Toulouse limit for the overscreened four-channel Kondo problem
- Conductance fingerprint of Majorana fermions in the topological Kondo effect
- Y-junction of superconducting Josephson chains
- Nonequilibrium transport for crossed Luttinger liquids
- Transport properties of the Coulomb-Majorana junction
- A conjugate gradient minimisation approach to generating holographic traps for ultracold atoms
- Bethe ansatz solution of the topological Kondo model
- Smooth, holographically generated ring trap for the investigation of superfluidity in ultracold atoms
- Tunneling spectroscopy of Majorana-Kondo devices
- Topology Induced Spatial Bose-Einstein Condensation for Bosons on Star-Shaped Optical Networks
- Kondo physics from quasiparticle poisoning in Majorana devices
- Thermodynamics of the Topological Kondo Model
- Topological Kondo effect in star junctions of Ising magnetic chains. Exact solution
- Hybrid Topological Quantum Computation with Majorana Fermions: A Cold Atom Setup
- Multi-wavelength holography with a single Spatial Light Modulator for ultracold atom experiments
- Feedback-enhanced algorithm for aberration correction of holographic atom traps
- Universality and quantized response in bosonic nonfractionalized tunneling
- Crossed spin-1/2 Heisenberg chains as a quantum impurity problem
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- Roadmap on Atomtronics: State of the art and perspective
- Atomtronics-enabled Quantum Technologies
- High-fidelity phase and amplitude control of phase-only computer generated holograms using conjugate gradient minimisation
- Approximate light cone effects in a non-relativistic quantum field theory after a local quench
- Singular dynamics and emergence of nonlocality in long-range quantum models
- Violation of the Wiedemann-Franz law in the Topological Kondo model
- Electron Teleportation in Multi-Terminal Majorana Islands: Statistical Transmutation and Fractional Quantum Conductance
- Many-terminal Majorana island: from Topological to Multi-Channel Kondo Model
- From four- to two-channel Kondo effect in junctions of XY spin chains
- Multi-particle scattering and breakdown of the Wiedemann-Franz law at a junction of N interacting quantum wires
- Topological Kondo Device for distinguishing Quasi-Majorana and Majorana signatures
- Josephson effect in Majorana box devices
- Two-Channel Kondo Physics in a Majorana Island Coupled to a Josephson Junction
- Multichannel topological Kondo effect
- Kondo Length in Bosonic Lattices
- Current cross-correlation in the Anderson impurity model with exchange interaction
- From Laplacian-to-Adjacency Matrix for Continuous Spins on Graphs
- Spin and thermal current scaling at a -junction of XX spin chains