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 (4)

• Strong zero modes in integrable quantum circuits
• 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

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