Instantaneous phase synchronization of two decoupled quantum limit-cycle oscillators induced by conditional photon detection

We show that conditional photon detection induces instantaneous phase synchronization between two decoupled quantum limit-cycle oscillators. We consider two quantum van der Pol oscillators without mutual coupling, each with additional single-photon dissipation, and perform continuous measurement of...

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Main Authors: Yuzuru Kato, Hiroya Nakao
Format: Article
Language:English
Published: American Physical Society 2021-01-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.013085
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author Yuzuru Kato
Hiroya Nakao
author_facet Yuzuru Kato
Hiroya Nakao
author_sort Yuzuru Kato
collection DOAJ
description We show that conditional photon detection induces instantaneous phase synchronization between two decoupled quantum limit-cycle oscillators. We consider two quantum van der Pol oscillators without mutual coupling, each with additional single-photon dissipation, and perform continuous measurement of photon counting on the output fields of the two baths interacting through a beam splitter. It is observed that in-phase or antiphase coherence of the two decoupled oscillators instantaneously increases after photon detection and then decreases gradually in the weak quantum regime or quickly in the strong quantum regime until the next photon detection occurs. In the strong quantum regime, quantum entanglement also increases after photon detection and quickly disappears. We derive the analytical upper bounds for the increases in the quantum entanglement and phase coherence by conditional photon detection in the quantum limit.
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spelling doaj.art-731268a0ba8541f8be084b16e451fa4b2024-04-12T17:06:48ZengAmerican Physical SocietyPhysical Review Research2643-15642021-01-013101308510.1103/PhysRevResearch.3.013085Instantaneous phase synchronization of two decoupled quantum limit-cycle oscillators induced by conditional photon detectionYuzuru KatoHiroya NakaoWe show that conditional photon detection induces instantaneous phase synchronization between two decoupled quantum limit-cycle oscillators. We consider two quantum van der Pol oscillators without mutual coupling, each with additional single-photon dissipation, and perform continuous measurement of photon counting on the output fields of the two baths interacting through a beam splitter. It is observed that in-phase or antiphase coherence of the two decoupled oscillators instantaneously increases after photon detection and then decreases gradually in the weak quantum regime or quickly in the strong quantum regime until the next photon detection occurs. In the strong quantum regime, quantum entanglement also increases after photon detection and quickly disappears. We derive the analytical upper bounds for the increases in the quantum entanglement and phase coherence by conditional photon detection in the quantum limit.http://doi.org/10.1103/PhysRevResearch.3.013085
spellingShingle Yuzuru Kato
Hiroya Nakao
Instantaneous phase synchronization of two decoupled quantum limit-cycle oscillators induced by conditional photon detection
Physical Review Research
title Instantaneous phase synchronization of two decoupled quantum limit-cycle oscillators induced by conditional photon detection
title_full Instantaneous phase synchronization of two decoupled quantum limit-cycle oscillators induced by conditional photon detection
title_fullStr Instantaneous phase synchronization of two decoupled quantum limit-cycle oscillators induced by conditional photon detection
title_full_unstemmed Instantaneous phase synchronization of two decoupled quantum limit-cycle oscillators induced by conditional photon detection
title_short Instantaneous phase synchronization of two decoupled quantum limit-cycle oscillators induced by conditional photon detection
title_sort instantaneous phase synchronization of two decoupled quantum limit cycle oscillators induced by conditional photon detection
url http://doi.org/10.1103/PhysRevResearch.3.013085
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