Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains

Abstract

Floquet spin chains have been a venue for understanding topological states of matter that are qualitatively different from their static counterparts by, for example, hosting $\pi$ edge modes that show stable period-doubled dynamics. However the stability of these edge modes to interactions has traditionally required the system to be many-body localized in order to suppress heating. In contrast, here we show that even in the absence of disorder, and in the presence of bulk heating, $\pi$ edge modes are long lived. Their lifetime is extracted from exact diagonalization and is found to be non-perturbative in the interaction strength. A tunneling estimate for the lifetime is obtained by mapping the stroboscopic time-evolution to dynamics of a single particle in Krylov subspace. In this subspace, the $\pi$ edge mode manifests as the quasi-stable edge mode of an inhomogeneous Su-Schrieffer-Heeger model whose dimerization vanishes in the bulk of the Krylov chain.

References in corpus (13)

• Topological characterization of periodically-driven quantum systems
• Phenomenology of fully many-body-localized systems
• Equilibrium states of generic quantum systems subject to periodic driving
• Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
• Periodically driven ergodic and many-body localized quantum systems
• Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems
• Topological index for periodically driven time-reversal invariant 2D systems
• A Brief History of Time Crystals
• Stability of zero modes in parafermion chains
• Nonequilibrium Quantum Phase Transitions in the Ising Model
• Prethermal time crystals in a one-dimensional periodically driven Floquet system
• Floquet Majorana zero and $\pi$ modes in planar Josephson junctions
• Critical properties of the prethermal Floquet Time Crystal

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• Operator growth and Krylov Complexity in Bose-Hubbard Model
• Krylov Complexity and Spectral Form Factor for Noisy Random Matrix Models
• Dynamical relaxation of correlators in periodically driven integrable quantum systems
• Krylov complexity and Trotter transitions in unitary circuit dynamics
• Topological frequency conversion in Weyl semimetals
• Strong zero modes in integrable quantum circuits
• Decay rates of almost strong modes in Floquet spin chains beyond Fermi's Golden Rule
• Quasiperiodicity hinders ergodic Floquet eigenstates
• Topological Defects in Floquet Circuits
• Krylov Subspace Methods for Quantum Dynamics with Time-Dependent Generators
• Slowly decaying zero mode in a weakly non-integrable boundary impurity model
• Dynamics of monitored SSH Model in Krylov Space: From Complexity to Quantum Fisher Information
• A Universal Model of Floquet Operator Krylov Space
• Entanglement dynamics and phase transitions of the Floquet cluster spin chain
• Stochastic strong zero modes and their dynamical manifestations
• Streamlined Krylov construction and classification of ergodic Floquet systems
• Disorder induced topological phase transition in a driven Majorana chain
• Opening Krylov space to access all-time dynamics via dynamical symmetries
• A metronome spin stabilizes time-crystalline dynamics
• Floquet Product Mode
• Emergent random matrix universality in quantum operator dynamics
• Floquet operator dynamics and orthogonal polynomials on the unit circle