String order parameters for 1d Floquet Symmetry Protected Topological Phases

Abstract

Floquet symmetry protected topological (FSPT) phases are non-equilibrium topological phases enabled by time-periodic driving. FSPT phases of 1d chains of bosons, spins, or qubits host dynamically protected edge states that can store quantum information without decoherence, making them promising for use as quantum memories. While FSPT order cannot be detected by any local measurement, here we construct non-local string order parameters that directly measure general 1d FSPT order. We propose a superconducting-qubit array based realization of the simplest Ising-FSPT, which can be implemented with existing quantum computing hardware. We devise an interferometric scheme to directly measure the non-local string order using only simple one- and two- qubit operations and single-qubit measurements.

5+4 pages; 4+1 figures; v2. updates Fig. 3, adds additional references

References in corpus (12)

• Many-Body Physics with Ultracold Gases
• Topological characterization of periodically-driven quantum systems
• Observation of a Discrete Time Crystal
• Observation of discrete time-crystalline order in a disordered dipolar many-body system
• Discrete time crystals: rigidity, criticality, and realizations
• Spectral signatures of many-body localization with interacting photons
• Pre-thermal phases of matter protected by time-translation symmetry
• Implementation of Spin Hamiltonians in Optical Lattices
• Quantum quenches in the many-body localized phase
• Chiral Floquet Phases of Many-body Localized Bosons
• Floquet symmetry-protected topological phases in cold atomic systems
• Floquet Topological Order in Interacting Systems of Bosons and Fermions

Cited by in corpus (11)

• Observation of a symmetry-protected topological time crystal with superconducting qubits
• Realizing a dynamical topological phase in a trapped-ion quantum simulator
• 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
• Full Commuting Projector Hamiltonians of Interacting Symmetry-Protected Topological Phases of Fermions
• Topological edge modes without symmetry in quasiperiodically driven spin chains
• Observing Floquet topological order by symmetry resolution
• Strong zero modes in integrable quantum circuits
• Superuniversality from disorder at two-dimensional topological phase transitions
• Duality defect in a deformed transverse-field Ising model
• Strong zero modes in integrable spin-S chains