Quantum sensitivity of parametric oscillators

Many quantum systems exhibit high sensitivity to their initial conditions, where microscopic quantum fluctuations can significantly influence macroscopic observables. Understanding how quantum states may influence the behavior of nonlinear dynamic systems may open new avenues in controlling light-ma...

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Main Authors: Alex Gu, Jamison Sloan, Charles Roques-Carmes, Seou Choi, Eric I. Rosenthal, Michael Horodynski, Yannick Salamin, Jelena Vučković, Marin Soljačić
Format: Article
Language:English
Published: American Physical Society 2025-06-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.7.L022056
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author Alex Gu
Jamison Sloan
Charles Roques-Carmes
Seou Choi
Eric I. Rosenthal
Michael Horodynski
Yannick Salamin
Jelena Vučković
Marin Soljačić
author_facet Alex Gu
Jamison Sloan
Charles Roques-Carmes
Seou Choi
Eric I. Rosenthal
Michael Horodynski
Yannick Salamin
Jelena Vučković
Marin Soljačić
author_sort Alex Gu
collection DOAJ
description Many quantum systems exhibit high sensitivity to their initial conditions, where microscopic quantum fluctuations can significantly influence macroscopic observables. Understanding how quantum states may influence the behavior of nonlinear dynamic systems may open new avenues in controlling light-matter interactions. To explore this issue, we analyze the sensitivity of a fundamental quantum optical process – parametric oscillation – to quantum initializations. Focusing on optical parametric oscillators (OPOs), we demonstrate that the quantum statistics of arbitrary initial states are imprinted in the early-stage dynamics and can persist in the steady-state probabilities. We derive the “quantum sensitivity” of parametric oscillators, linking the initial quantum state to the system's steady-state outcomes, highlighting how losses and parametric gain govern the system's quantum sensitivity. Moreover, we show that these findings extend beyond OPOs to a broader class of nonlinear systems, including Josephson junction based superconducting circuits. Our work opens the way to a new class of experiments that can test the sensitivity of macroscopic systems to quantum initial conditions and offers a pathway for controlling systems with quantum degrees of freedom.
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spelling doaj-art-721a285d84ea4dac9d8c8b3e46c5bc422025-08-20T02:30:31ZengAmerican Physical SocietyPhysical Review Research2643-15642025-06-0172L02205610.1103/PhysRevResearch.7.L022056Quantum sensitivity of parametric oscillatorsAlex GuJamison SloanCharles Roques-CarmesSeou ChoiEric I. RosenthalMichael HorodynskiYannick SalaminJelena VučkovićMarin SoljačićMany quantum systems exhibit high sensitivity to their initial conditions, where microscopic quantum fluctuations can significantly influence macroscopic observables. Understanding how quantum states may influence the behavior of nonlinear dynamic systems may open new avenues in controlling light-matter interactions. To explore this issue, we analyze the sensitivity of a fundamental quantum optical process – parametric oscillation – to quantum initializations. Focusing on optical parametric oscillators (OPOs), we demonstrate that the quantum statistics of arbitrary initial states are imprinted in the early-stage dynamics and can persist in the steady-state probabilities. We derive the “quantum sensitivity” of parametric oscillators, linking the initial quantum state to the system's steady-state outcomes, highlighting how losses and parametric gain govern the system's quantum sensitivity. Moreover, we show that these findings extend beyond OPOs to a broader class of nonlinear systems, including Josephson junction based superconducting circuits. Our work opens the way to a new class of experiments that can test the sensitivity of macroscopic systems to quantum initial conditions and offers a pathway for controlling systems with quantum degrees of freedom.http://doi.org/10.1103/PhysRevResearch.7.L022056
spellingShingle Alex Gu
Jamison Sloan
Charles Roques-Carmes
Seou Choi
Eric I. Rosenthal
Michael Horodynski
Yannick Salamin
Jelena Vučković
Marin Soljačić
Quantum sensitivity of parametric oscillators
Physical Review Research
title Quantum sensitivity of parametric oscillators
title_full Quantum sensitivity of parametric oscillators
title_fullStr Quantum sensitivity of parametric oscillators
title_full_unstemmed Quantum sensitivity of parametric oscillators
title_short Quantum sensitivity of parametric oscillators
title_sort quantum sensitivity of parametric oscillators
url http://doi.org/10.1103/PhysRevResearch.7.L022056
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