Quantum Zeno effect in self-sustaining systems: Suppressing phase diffusion via repeated measurements

Year: 2021

Authors: Li WL., Es’haqi-Sani N., Zhang WZ., Vitali D.

Autors Affiliation: Univ Camerino, Sch Sci & Technol, Phys Div, I-62032 Camerino, Italy; Ningbo Univ, Dept Phys, Ningbo 315211, Peoples R China; Ist Nazl Fis Nucl, Sez Perugia, Via A Pascoli, I-06123 Perugia, Italy; CNR, INO, Largo Enrico Fermi 6, I-50125 Florence, Italy.

Abstract: We study the effect of frequent projective measurements on the dynamics of quantum self-sustaining systems by considering the prototypical example of the quantum van der Pol oscillator. Quantum fluctuations are responsible for phase diffusion which progressively blurs the semiclassical limit-cycle dynamics and synchronization, either to an external driving or between two coupled self-sustained oscillators. We show that by subjecting the system to repeated measurements of heterodyne type at an appropriate repetition frequency one can significantly suppress phase diffusion without spoiling the semiclassical dynamics. This quantum Zeno-like effect may be effective in the case of either one or two coupled van der Pol oscillators, and we discuss its possible implementation in the case of trapped ions.

Journal/Review: PHYSICAL REVIEW A

Volume: 103 (4)      Pages from: 43715-1  to: 43715-9

More Information: We acknowledge the support of the European Union Horizon 2020 Programme for Research and Innovation through Project No. 732894 (FET Proactive HOT) and Project QuaSeRT funded by the QuantERA ERA-NET Cofund in Quantum Technologies. N.E.-S. acknowledges the TRIL support of the Abdus Salam International Centre for Theoretical Physics (ICTP). W.-Z.Z. is supported by the National Natural Science Foundation of China (Grant No. 12074206) and K C Wong Magna Fund in Ningbo University, China.
KeyWords: Circuit oscillations; Dynamics; Oscillators (mechanical); Trapped ions; Projective measurement; Quantum Zeno effect; Repeated measurements; Repetition frequency; Self-sustained oscillators; Semiclassical dynamics; Semiclassical limit; Van der Pol oscillator; Diffusion
DOI: 10.1103/PhysRevA.103.043715

ImpactFactor: 2.971
Citations: 6
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