Quantum sensitivity of parametric oscillators

Fuente: arXiv
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Autori principali: Gu, Alex, Sloan, Jamison, Roques-Carmes, Charles, Choi, Seou, Rosenthal, Eric I., Horodynski, Michael, Salamin, Yannick, Vučković, Jelena, Soljačić, Marin
Natura: Preprint
Pubblicazione: 2024
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author Gu, Alex
Sloan, Jamison
Roques-Carmes, Charles
Choi, Seou
Rosenthal, Eric I.
Horodynski, Michael
Salamin, Yannick
Vučković, Jelena
Soljačić, Marin
author_facet Gu, Alex
Sloan, Jamison
Roques-Carmes, Charles
Choi, Seou
Rosenthal, Eric I.
Horodynski, Michael
Salamin, Yannick
Vučković, Jelena
Soljačić, Marin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2412_02887
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum sensitivity of parametric oscillators
Gu, Alex
Sloan, Jamison
Roques-Carmes, Charles
Choi, Seou
Rosenthal, Eric I.
Horodynski, Michael
Salamin, Yannick
Vučković, Jelena
Soljačić, Marin
Quantum Physics
Optics
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.
title Quantum sensitivity of parametric oscillators
topic Quantum Physics
Optics
url https://arxiv.org/abs/2412.02887