Engineering Floquet Dynamical Quantum Phase Transition

Abstract

Floquet dynamical quantum phase transitions (FDQPTs) are signified by recurrent nonanalytic behaviors of observables in time. In this work, we introduce a quench-free and generic approach to engineer and control FDQPTs for both pure and mixed Floquet states. By applying time-periodic modulations with two commensurate driving frequencies to a general class of spin chain model, we find multiple FDQPTs within each driving period. The nonanalytic cusps of return probability form sublattice structures in time domain. Notably, the number and time-locations of these cusps can be flexibly controlled by tuning the Hamiltonian parameter and the higher frequency of the drive. We further employ the dynamical topological order parameter (DTOP), which shows a quantized jump whenever a DQPT happens, to identify the topological feature of FDQPTs. Our findings reveal the advantage of engineering nonequilibrium phase transitions with multi-frequency driving fields.

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Cited by in corpus (22)

• Non-Hermitian Floquet Topological Matter -- A Review
• Floquet topological phase transitions in a periodically quenched dimer
• Finite temperature dynamical quantum phase transition in a non-Hermitian system
• Topological Floquet engineering using two frequencies in two dimensions
• Anomalous correlation-induced dynamical phase transitions
• Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain
• Dynamical phase transition and scaling in the chiral clock Potts chain
• Detecting exceptional points through dynamics in non-Hermitian systems
• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition
• Topological phase transition in commensurate multi-frequency Floquet Su-Schrieffer-Heeger model
• Predicting topological quantum phase transition from dynamics via multisite entanglement
• Entanglement in quenched extended Su-Schrieffer-Heeger model with anomalous dynamical quantum phase transitions
• Vortex loop dynamics and dynamical quantum phase transitions in 3D fermion matter
• Scaling and Universality at Noisy Quench Dynamical Quantum Phase Transitions
• Steering spin fluctuations in lattice systems via two-tone Floquet engineering
• Recognizing critical lines via entanglement in non-Hermitian systems
• Quasiperiodic Floquet-Gibbs states in Rydberg atomic systems
• Topological Classification of Dynamical Quantum Phase Transitions in the 1D XY model via Critical Mode Analysis
• Emergent dynamical quantum phase transition in a $Z_3$ symmetric chiral clock model
• Floquet dynamical quantum phase transitions in periodically flux-quenched systems
• Floquet Recurrences in the Double Kicked Top
• Discrete time crystal order in spin chains enabled by Floquet flat bands