Dynamical Signatures of Floquet Topology in Wave Packet Dynamics

Abstract

Periodically driven quantum systems, known as Floquet systems, provide a versatile platform for engineering novel topological phases absent in static settings. However, dynamically characterizing these non-equilibrium topological invariants remains a challenge. Here, we develop a Floquet perturbation theory in the extended Hilbert space to analytically describe the center-of-mass (CoM) dynamics of a wave packet. When applied to the driven Su-Schrieffer-Heeger model, our theory reveals that the CoM exhibits multi-frequency Zitterbewegung oscillations, whose spectral composition and phase are directly tied to the system's Floquet band structure. Crucially, we find that band inversions at topological phase transitions imprint distinct signatures in the CoM dynamics, including the emergence of low-frequency modes and phase shifts of the oscillatory trajectory. These dynamical signatures offer a practical protocol for detecting Floquet topological invariants, which we demonstrate for both high-frequency and strongly driven regimes. Our work establishes CoM dynamics as a simple and experimentally accessible probe for exploring topological phase transitions in Floquet systems.

10 pages, 3 figures. Comments are welcome

References in corpus (12)

• Many-Body Physics with Ultracold Gases
• Topological characterization of periodically-driven quantum systems
• The Magnus expansion and some of its applications
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Zitterbewegung (trembling motion) of electrons in semiconductors: a Review
• Tuning anomalous Floquet topological bands with ultracold atoms
• Wave-packet Dynamics in Synthetic Non-Abelian Gauge Fields
• Dynamical Detection of Topological Spectral Density
• Link between \emph{Zitterbewegung} and topological phase transition
• Dynamically Characterizing the Structures of Dirac Points via Wave Packets