Topologically protected localised states in spin chains

Abstract

We consider spin chain families inspired by the Su, Schrieffer and Hegger (SSH) model. We demonstrate explicitly the topologically induced spatial localisation of quantum states in our systems. We present detailed investigations of the effects of random noise, showing that these topologically protected states are very robust against this type of perturbation. Systems with such topological robustness are clearly good candidates for quantum information tasks and we discuss some potential applications. Thus, we present interesting spin chain models which show promising applications for quantum devices.

11 pages, 8 figures

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• Robust Quantum Entanglement Generation and Generation-plus-Storage Protocols with Spin Chains
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• Disorder-assisted distribution of entanglement in $XY$ spin chains
• High-fidelity state transfer through long-range correlated disordered quantum channels
• Fast, robust and amplified transfer of topological edge modes on time-varying mechanical chain
• Fast quantum transfer mediated by topological domain walls
• Interplay between speed and fidelity in off-resonant quantum-state transfer protocols
• Almost perfect transport of an entangled two-qubit state through a spin chain
• Evolutionary computation for adaptive quantum device design
• Rational boundary charge in one-dimensional systems with interaction and disorder
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• Many-body-localization induced protection of symmetry-protected topological order in a XXZ spin model
• High Efficiency Topological Pumping with Discrete Supersymmetry Transformations
• Quantum Corralling
• Topological phase and lattice structures in spin chain models
• Properties of quantum stochastic walks from the asymptotic scaling exponent
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• Hidden topology in flat-band topological insulators: Strong, weak and square-root topological states
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• Defect engineering spin centers in interacting many-body Su-Schrieffer-Heeger chains