Stroboscopic aliasing in long-range interacting quantum systems

2020/11/13 by Shane P. Kelly, Eddy Timmermans, Jamir Marino +2
Computer Science · Engineering · Physics and Astronomy · #Aerospace engineering #Aliasing #Classical mechanics #Computer science #Engineering #Neural Networks and Reservoir Computing #Physics #Quantum #Quantum chaos and dynamical systems #Quantum many-body systems #Quantum mechanics #Quantum state #Range (aeronautics) #Rotation (mathematics) #Spin (aerodynamics) #Stroboscope #cond-mat.other #quant-ph

paper · pdf · doi:10.21468/scipostphyscore.4.3.021

published as SciPost Phys. Core 4, 021 (2021) · 5 pages, 4 figures

arxiv created 2020/11/13 · openalex publication_date 2021/09/10 · arxiv updated 2021/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We unveil a mechanism for generating oscillations with arbitrary multiplets of the period of a given external drive, in long-range interacting quantum many-particle spin systems. These oscillations break discrete time translation symmetry as in time crystals, but they are understood via two intertwined stroboscopic effects similar to the aliasing resulting from video taping a single fast rotating helicopter blade. The first effect is similar to a single blade appearing as multiple blades due to a frame rate that is in resonance with the frequency of the helicopter blades' rotation; the second is akin to the optical appearance of the helicopter blades moving in reverse direction. Analogously to other dynamically stabilized states in interacting quantum many-body systems, this stroboscopic aliasing is robust to detuning and excursions from a chosen set of driving parameters, and it offers a novel route for engineering dynamical n-tuplets in long-range quantum simulators, with potential applications to spin squeezing generation and entangled state preparation.

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