Stroboscopic aliasing in long-range interacting quantum systems

Kelly, Shane P.; Timmermans, Eddy; Marino, Jamir; Tsai, S.-W.

doi:10.21468/SciPostPhysCore.4.3.021

SciPost Physics Core

Stroboscopic aliasing in long-range interacting quantum systems

Shane P. Kelly, Eddy Timmermans, Jamir Marino, S.-W. Tsai

SciPost Phys. Core 4, 021 (2021) · published 10 September 2021

doi: 10.21468/SciPostPhysCore.4.3.021
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.4.3.021
TI  - Stroboscopic aliasing in long-range interacting quantum systems
PY  - 2021/09/10
UR  - https://scipost.org/SciPostPhysCore.4.3.021
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 4
IS  - 3
SP  - 021
A1  - Kelly, Shane P.
AU  - Timmermans, Eddy
AU  - Marino, Jamir
AU  - Tsai, S.-W.
AB  - 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.
ER  -

@Article{10.21468/SciPostPhysCore.4.3.021,
	title={{Stroboscopic aliasing in long-range interacting quantum systems}},
	author={Shane P. Kelly and Eddy Timmermans and  Jamir Marino and  S.-W. Tsai},
	journal={SciPost Phys. Core},
	volume={4},
	pages={021},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.4.3.021},
	url={https://scipost.org/10.21468/SciPostPhysCore.4.3.021},
}

Cited by 8

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¹ ² ³ Shane P. Kelly,
¹ Eddy Timmermans,
² Jamir Marino,
³ S.-W. Tsai

Funders for the research work leading to this publication

Los Alamos National Laboratory [LANL]
National Science Foundation [NSF]
Office of the President, University of California (through Organization: University of California System)