Dual-mode ground-state cooling in quadratic optomechanical systems: from multistability to general dark-mode suppression
arXiv:2604.14515 · doi:10.1103/5jdh-j68z
Abstract
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.
14 pages, 7 figures,
References in corpus (44)
- Laser cooling of a nanomechanical oscillator into its quantum ground state
- Sideband Cooling Micromechanical Motion to the Quantum Ground State
- Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
- Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
- Theory of ground state cooling of a mechanical oscillator using dynamical back-action
- A microchip optomechanical accelerometer
- Resolved Sideband Cooling of a Micromechanical Oscillator
- Ground-state cooling of a micromechanical oscillator: generalized framework for cold damping and cavity-assisted cooling schemes
- Cooling of a micro-mechanical oscillator using radiation pressure induced dynamical back-action
- All-optical polariton transistor
- Bistability of Cavity Magnon Polaritons
- Optomechanical quantum information processing with photons and phonons
- Using interference for high fidelity quantum state transfer in optomechanics
- Measurement-based quantum control of mechanical motion
- Observation of Radiation Pressure Shot Noise on a Macroscopic Object
- Dispersive optomechanics: a membrane inside a cavity
- Storing light as a mechanical excitation in a silica optomechanical resonator
- Optomechanical Cooling of a Macroscopic Oscillator by Homodyne Feedback
- Photon blockade in quadratically coupled optomechanical systems
- Sideband Cooling Beyond the Quantum Limit with Squeezed Light
- Reversible optical to microwave quantum interface
- Cooling and squeezing via quadratic optomechanical coupling
- Dynamic dissipative cooling of a mechanical oscillator in strong-coupling optomechanics
- Optomechanically induced transparency in membrane-in-the-middle setup at room temperature
- Laser cooling of a micromechanical membrane to the quantum backaction limit
- Quantum Noise Interference and Back-action Cooling in Cavity Nanomechanics
- Probing a dissipative phase transition via dynamical optical hysteresis
- Quantum-limited directional amplifiers with optomechanics
- Radiative bistability and thermal memory
- Signatures of a dissipative phase transition in photon correlation measurements
- Trapping and Cooling a mirror to its quantum mechanical ground state
- Nonreciprocal ground-state cooling of multiple mechanical resonators
- Electromagnetically Induced Transparency from Two Phonon Processes in Quadratically Coupled Membranes
- Long-Time Memory and Ternary Logic Gate Using a Multistable Cavity Magnonic System
- Entanglement-Enhanced Optomechanical Sensing
- Optomechanical superpositions via nested interferometry
- Macroscopic optomechanics from displaced single-photon entanglement
- Controllable optical bistability based on photons and phonons in a two-mode optomechanical system
- Optomechanically induced nonreciprocity in a three-mode optomechanical system
- Engineering of nonclassical motional states in optomechanical systems
- Optical bistability under non-resonant excitation in spinor polariton condensates
- Cavity-Mediated Strong Matter Wave Bistability in a Spin-1 Condensate
- Ground-State Cooling of a Mechanical Oscillator by Interference in Andreev Reflection
- A Quantum Optical Spring