Topological order in random interacting Ising-Majorana chains stabilized by many-body localization

Abstract

We numerically explore ${\mathbb{Z}}_2$-symmetric random interacting Ising-Majorana chains at high energy. A very rich phase diagram emerges with two topologically distinct many-body localization (MBL) regimes separated by a much broader thermal phase than previously found. This is a striking consequence of the avalanche theory. We further find MBL spin-glass order always associated to a many-body spectral pairing, presumably signaling a strong zero mode operator which opens fascinating perspectives for MBL-protected topological qubits.

References in corpus (8)

• Localization of interacting fermions at high temperature
• Many-body localization edge in the random-field Heisenberg chain
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Many body localization in Heisenberg XXZ magnet in a random field
• Spectral signatures of many-body localization with interacting photons
• Majorana qubit decoherence by quasiparticle poisoning
• Many-body localization of spinless fermions with attractive interactions in one dimension
• Local integrals of motion detection of localization-protected topological order

Cited by in corpus (21)

• Many-Body Localization in the Age of Classical Computing
• Interaction-Driven Instabilities in the Random-Field XXZ Chain
• Topological and quantum critical properties of the interacting Majorana chain model
• Strong zero modes in integrable quantum circuits
• Out of Equilibrium Majoranas in Interacting Kitaev Chains
• Quantum information spreading in random spin chains with topological order
• Statistics of systemwide correlations in the random-field XXZ chain: Importance of rare events in the many-body localized phase
• Resilient infinite randomness criticality for a disordered chain of interacting Majorana fermions
• Many-body-localization protection of eigenstate topological order in two dimensions
• Interacting Local Topological Markers: A one-particle density matrix approach for characterizing the topology of interacting and disordered states
• Localization and integrability breaking in weakly interacting Floquet circuits
• Cat states carrying long-range correlations in the many-body localized phase
• Universal Characterization of Quantum Many-Body States through Local Information
• Disorder induced topological phase transition in a driven Majorana chain
• Renormalization view on resonance proliferation between many-body localized phases
• Local Information Flow in Quantum Quench Dynamics
• Density matrix renormalization group study of the interacting Kitaev chain with quasi-periodic disorder
• Investigating Stark many-body localization with continuous unitary transformation flows
• Probing the many-body localized spin-glass phase through quench dynamics
• Beyond the imbalance: site-resolved dynamics probing resonances in many-body localization
• Quantum Avalanches in ${\mathbb{Z}}_2$-preserving Interacting Ising Majorana Chain