Floquet dynamical quantum phase transitions under synchronized periodic driving

Abstract

We study a generic class of fermionic two-band models under synchronized periodic driving, i.e., with the different terms in a Hamiltonian subject to periodic drives with the same frequency and phase. With all modes initially in a maximally mixed state, the synchronized drive is found to produce nonperiodic patterns of dynamical quantum phase transitions, with their appearance determined by an interplay of the band structure and the frequency of the drive. A case study of the anisotropic XY chain in a transverse magnetic field, transcribed to an effective two-band model, shows that the modes come with quantized geometric phases, allowing for the construction of an effective dynamical order parameter. Numerical studies in the limit of a strong magnetic field reveal distinct signals of precursors of dynamical quantum phase transitions also when the initial state of the XY chain is perturbed slightly away from maximal mixing, suggesting that the transitions may be accessible experimentally. A blueprint for an experiment built around laser-trapped circular Rydberg atoms is proposed.

References in corpus (12)

• Probing many-body dynamics on a 51-atom quantum simulator
• Dynamical phase transition in correlated fermionic lattice systems
• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• Topological classification of dynamical phase transitions
• First order dynamical phase transitions
• Mixed state dynamical quantum phase transition and emergent topology
• Observation of Dynamical Quantum Phase Transition with Correspondence in Excited State Phase Diagram
• Dynamical quantum phase transitions in the axial next-nearest-neighbour Ising chain
• Dynamical Topological Quantum Phase Transitions at Criticality
• Out-of-time-order correlations and Floquet dynamical quantum phase transition
• Correlations and dynamical quantum phase transitions in an interacting topological insulator
• Ubiquity of zeros of Loschmidt amplitude for mixed states in different physical processes and their implications

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