Constrained thermalisation and topological superconductivity
arXiv:2001.10282 · doi:10.1103/PhysRevB.102.054508
Abstract
We examine the thermalisation/localization trade off in an interacting and disordered Kitaev model, specifically addressing whether signatures of many-body localization can coexist with the systems topological phase. Using methods applicable to finite size systems, (e.g. the generalized one-particle density matrix, eigenstate entanglement entropy, inverse zero modes coherence length) we identify a regime of parameter space in the vicinity of the non-interacting limit where topological superconductivity survives together with a significant violation of Eigenstate-Thermalisation-Hypothesis (ETH) at finite energy-densities. We further identify an anomalous behaviour of the von Neumann entanglement entropy which can be attributed to the prethermalisation-like effects that occur due to lack of hybridization between high-energy eigenstates reflecting an approximate particle conservation law. In this regime the system tends to thermalise to a generalised Gibbs ensemble (as opposed to the grand canonical ensemble). Moderate disorder tends to drive the system towards stronger hybridization and a standard thermal ensemble, where the approximate conservation law is violated. This behaviour is cutoff by strong disorder which obstructs many body effects thus violating ETH and reducing the entanglement entropy.
arXiv comment11 pages, 10 figures
References in corpus (102)
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Anyons in an exactly solved model and beyond
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Helical liquids and Majorana bound states in quantum wires
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization of interacting fermions at high temperature
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- The many-body localization phase transition
- Calculation of reduced density matrices from correlation functions
- Exponential Protection of Zero Modes in Majorana Islands
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Many-body localization edge in the random-field Heisenberg chain
- Unbounded growth of entanglement in models of many-body localization
- Interacting electrons in disordered wires: Anderson localization and low-temperature transport
- Phenomenology of fully many-body-localized systems
- A phenomenology of certain many-body-localized systems
- Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
- Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
- Reduced density matrices and entanglement entropy in free lattice models
- Majorana fermions in chains of magnetic atoms on a superconductor
- Generalized Gibbs ensemble in integrable lattice models
- Area laws in a many-body localized state and its implications for topological order
- Localization protected quantum order
- From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example
- Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
- Generalized Thermalization in an Integrable Lattice System
- End states and subgap structure in proximity-coupled chains of magnetic adatoms
- Ballistic Majorana nanowire devices
- Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
- Quantized conductance at the Majorana phase transition in a disordered superconducting wire
- Majorana qubit decoherence by quasiparticle poisoning
- Generalized Gibbs ensemble prediction of prethermalization plateaus and their relation to nonthermal steady states in integrable systems
- Density-Matrix Spectra of Solvable Fermionic Systems
- Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
- Absence of Thermalization in Nonintegrable Systems
- Majorana edge states in interacting one-dimensional systems
- Many-body localization characterized from a one-particle perspective
- Majorana Fermions in superconducting 1D systems having periodic, quasiperiodic, and disordered potentials
- Griffiths effects and quantum critical points in dirty superconductors without spin-rotation invariance: One-dimensional examples
- Majorana fermions in superconducting nanowires without spin-orbit coupling
- Probability distribution of Majorana end-state energies in disordered wires
- Topological superconducting phases in disordered quantum wires with strong spin-orbit coupling
- Exact ground states and topological order in interacting Kitaev/Majorana chains
- Majorana fermions in superconducting helical magnets
- Interplay of disorder and interaction in Majorana quantum wires
- Majorana Fermions in Strongly Interacting Helical Liquids
- Andreev reflection from non-centrosymmetric superconductors and Majorana bound state generation in half-metallic ferromagnets
- Failure of protection of Majorana based qubits against decoherence
- Strong zero modes and eigenstate phase transitions in the XYZ/interacting Majorana chain
- Topological superconductivity and Majorana fermions in half-metal / superconductor heterostructure
- Decay rates for topological memories encoded with Majorana fermions
- Global characteristics of all eigenstates of local many-body Hamiltonians: participation ratio and entanglement entropy
- On the reduced density matrix for a chain of free electrons
- Strongly interacting Majorana modes in an array of Josephson junctions
- Non-adiabatic Effects in the Braiding of Non-Abelian Anyons in Topological Superconductors
- Stability of zero modes in parafermion chains
- Long coherence times for edge spins
- Tunneling spectra simulation of interacting Majorana wires
- Interacting topological phases in multiband nanowires
- Topological order in the Kitaev/Majorana chain in the presence of disorder and interactions
- Non-adiabatic processes in Majorana qubit systems
- Topological Protection of Majorana Qubits
- Dephasing of Majorana-based qubits
- Decoherence of Majorana qubits by noisy gates
- Prethermal Strong Zero Modes and Topological Qubits
- Majorana braiding with thermal noise
- Exact Solution to Interacting Kitaev Chain at Symmetric Point
- One-particle density matrix characterization of many-body localization
- Signatures of topological phase transitions in mesoscopic superconducting rings
- Robustness of quantum memories based on Majorana zero modes
- Topological order in paired states of fermions in two-dimensions with breaking of parity and time-reversal symmetries
- Dynamics of Majorana-based qubits operated with an array of tunable gates
- Robustness of Majorana edge modes and topological order -- exact results for the symmetric interacting Kitaev chain with disorder
- Many-body Majorana operators and the equivalence of parity sectors
- Exact Zero Modes in Closed Systems of Interacting Fermions
- Dynamical formation and manipulation of Majorana fermions in driven quantum wires
- Reentrant topological phase transitions in a disordered spinless superconducting wire
- Parafermionic clock models and quantum resonance
- Multi-particle content of Majorana zero-modes in the interacting p-wave wire
- Lifetime of Majorana qubits in Rashba nanowires with non-uniform chemical potential
- Endstates in multichannel spinless p-wave superconducting wires
- Localization-enhanced and degraded topological-order in interacting p-wave wires
- Degeneracy lifting of Majorana bound states due to electron-phonon interactions
- Study of the phase diagram of the Kitaev-Hubbard chain
- Nonperturbative phase diagram of interacting disordered Majorana nanowires
- Error generation and propagation in Majorana-based topological qubits
- Decoherence Patterns of Topological Qubits from Majorana Modes
- Effects of non-equilibrium noise on a quantum memory encoded in Majorana zero modes
- Exact zero modes and decoherence in systems of interacting Majorana fermions
- Optimal Slater-determinant approximation of fermionic wave functions
- Dissipative Majorana quantum wires
- Constructing edge zero modes through domain wall angle conservation