Statistics tuned entanglement of the boundary modes in coupled Su-Schrieffer-Heeger chains

Abstract

We show that mutual statistics between quantum particles can be tuned to generate emergent novel few particle quantum mechanics for the boundary modes of symmetry-protected topological phases of matter. As a concrete setting, we study a system of pseudofermions, defined as quantum particles with tunable algebra, which lie on two distinct Su-Schrieffer-Heeger (SSH) chains. We find that as the mutual statistics of the particles are tuned -- the boundary modes present in the two chains gets non-trivially entangled showing a sudden jump in their mutual entanglement entropy. We further show that, such tuning of statistics engenders a first-order transition between two topologically non-trivial phases which differ in the behavior of inter-chain entanglement. Using a combination of analytical and numerical techniques and effective modeling, we uncover the rich physics that this system hosts. The results are of particular relevance in context of the study of the effective low energy quantum mechanics of topological edge modes in one hand and their recent realization in ultracold atoms on the other. This then provides for controlled manipulation of such low energy modes.

17 pages, 15 figures

References in corpus (22)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• The space group classification of topological band insulators
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• Measuring entanglement entropy of a generic many-body system with a quantum switch
• Topological orbital ladders
• Topological characterizations of an extended Su-Schrieffer-Heeger model
• Scaling of Entanglement Entropy in the Random Singlet Phase
• The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
• Majorana Fermions in Chiral Topological Ferromagnetic Nanowires
• Poor man's topological quantum gate based on the Su-Schrieffer-Heeger model
• Pair condensation of bosonic atoms induced by optical lattices
• Anyonic Haldane insulator in one dimension
• Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains
• Phase diagram of an interacting staggered Su-Schrieffer-Heeger two-chain ladder close to a quantum critical point
• Exact zero modes in frustrated Haldane chains
• Qubits as edge state detectors: illustration using the SSH model

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