Dual-mode ground-state cooling in quadratic optomechanical systems: from multistability to general dark-mode suppression

Fuente: arXiv
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Main Authors: Wei, Huanhuan, Chen, Yun, Tang, Jing, Deng, Yuangang
Format: Preprint
Published: 2026
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author Wei, Huanhuan
Chen, Yun
Tang, Jing
Deng, Yuangang
author_facet Wei, Huanhuan
Chen, Yun
Tang, Jing
Deng, Yuangang
contents We theoretically investigate a quadratic optomechanical system comprising a single-mode optical cavity linearly coupled to one mechanical resonator and quadratically coupled to a second resonator. By tuning the cavity detuning and optomechanical coupling strengths, we demonstrate the transition from optical bistability to multistability with up to seven steady-state solutions. Notably, simultaneous ground-state cooling of both mechanical resonators occurs on the dynamically stable branch of the nonlinear steady-state solutions, offering new opportunities for combined nonlinear optical and quantum cooling functionalities. Beyond the multistable regime, we systematically study dual-mode ground-state cooling and find that robust simultaneous cooling can be achieved over a broad parameter range, except when the linear and quadratic couplings become comparable, where a dark-mode effect arises. In this case, tuning the second-order optomechanical-induced frequency shifts effectively suppresses dark-mode interference, enabling controllable and simultaneous ground-state cooling. Our results provide a versatile framework for engineering multimode quantum states in optomechanical systems and open new avenues for the development of multifunctional quantum devices, including ultra-sensitive sensors, scalable quantum memories, and integrated quantum networks.
format Preprint
id arxiv_https___arxiv_org_abs_2604_14515
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Dual-mode ground-state cooling in quadratic optomechanical systems: from multistability to general dark-mode suppression
Wei, Huanhuan
Chen, Yun
Tang, Jing
Deng, Yuangang
Quantum Physics
We theoretically investigate a quadratic optomechanical system comprising a single-mode optical cavity linearly coupled to one mechanical resonator and quadratically coupled to a second resonator. By tuning the cavity detuning and optomechanical coupling strengths, we demonstrate the transition from optical bistability to multistability with up to seven steady-state solutions. Notably, simultaneous ground-state cooling of both mechanical resonators occurs on the dynamically stable branch of the nonlinear steady-state solutions, offering new opportunities for combined nonlinear optical and quantum cooling functionalities. Beyond the multistable regime, we systematically study dual-mode ground-state cooling and find that robust simultaneous cooling can be achieved over a broad parameter range, except when the linear and quadratic couplings become comparable, where a dark-mode effect arises. In this case, tuning the second-order optomechanical-induced frequency shifts effectively suppresses dark-mode interference, enabling controllable and simultaneous ground-state cooling. Our results provide a versatile framework for engineering multimode quantum states in optomechanical systems and open new avenues for the development of multifunctional quantum devices, including ultra-sensitive sensors, scalable quantum memories, and integrated quantum networks.
title Dual-mode ground-state cooling in quadratic optomechanical systems: from multistability to general dark-mode suppression
topic Quantum Physics
url https://arxiv.org/abs/2604.14515