Floquet Product Mode

Abstract

Results are presented for the dynamics of edge modes in interacting Floquet Ising chains. It is shown that in addition to the quasi-stable $0$ and $\pi$ edge modes, a third long lived edge mode arising from the operator product of the $0$ and $\pi$ edge modes exists. Depending on the microscopic parameters, this Floquet product mode is shown to have a substantially longer lifetime than the individual $0$ and $\pi$ modes. This is triggered by a scattering process which converts a $0$ mode into a $\pi$ mode while scattering two bulk excitations. This process can lead to a rapid decay of both $0$ and $\pi$ mode without affecting the product mode.

References in corpus (29)

• Unpaired Majorana fermions in quantum wires
• On the phase structure of driven quantum systems
• Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
• Parafermionic edge zero modes in Z_n-invariant spin chains
• Topological phases with parafermions: theory and blueprints
• Floquet generation of Majorana end modes and topological invariants
• Classification of Interacting Topological Floquet Phases in One Dimension
• Classification of topological phases in periodically driven interacting systems
• Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs
• Strong zero modes and eigenstate phase transitions in the XYZ/interacting Majorana chain
• Abelian Floquet symmetry-protected topological phases in one dimension
• Noise-resilient Edge Modes on a Chain of Superconducting Qubits
• Long coherence times for edge spins
• Prethermal Strong Zero Modes and Topological Qubits
• Lifetime of almost strong edge-mode operators in one dimensional, interacting, symmetry protected topological phases
• Dynamics of almost strong edge modes in spin chains away from integrability
• Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains
• Almost strong 0, π edge modes in clean, interacting 1D Floquet systems
• Topologically-Protected Long Edge Coherence Times in Symmetry-Broken Phases
• Enhancing correlation times for edge spins through dissipation
• Symmetry enhanced boundary qubits at infinite temperature
• Strong zero modes in a class of generalised Ising spin ladders with plaquette interactions
• Strong zero modes in integrable quantum circuits
• Stability of Floquet Majorana box qubits
• Dephasing enhanced strong Majorana zero modes in 2D and 3D higher-order topological superconductors
• Decay rates of almost strong modes in Floquet spin chains beyond Fermi's Golden Rule
• Slowly decaying zero mode in a weakly non-integrable boundary impurity model
• Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising model
• Stochastic strong zero modes and their dynamical manifestations

Cited by in corpus (2)

• Duality defect in a deformed transverse-field Ising model
• Moment method and continued fraction expansion in Floquet Operator Krylov Space