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.
Highlights
The field of dynamical stabilization has a long tradition tracing back to the Kapitza pendulum in the mid 60s [1]: a rigid rod can be stabilized in an inverted position by parametrically driving its suspension point with a tuned oscillation amplitude and at high frequency
We propose a flexible route to engineer periodic dynamical responses characterized by arbitrary integer fractions of the period of the drive, relevant for a broad class of quantum many-body simulators
In this work we show how to engineer dynamics with arbitrary n-tuplets that are not distinguished by the sectors of a Zn symmetry
Summary
The field of dynamical stabilization has a long tradition tracing back to the Kapitza pendulum in the mid 60s [1]: a rigid rod can be stabilized in an inverted position by parametrically driving its suspension point with a tuned oscillation amplitude and at high frequency. One of the earliest identified examples of DTC occurs when a BEC bounces on a mirror that is driven at a resonance of a single particle trajectory [34,35,36] and illustrates the role of interactions in breaking discrete time translation symmetry. In this example, a 1D BEC is trapped between an infinite barrier on the right and a linear ramp potential on the left.
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