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Quantum Synchronization via Active-Passive Decomposition Configuration: An Open Quantum-System Study.

Nan Yang¹, Ting Yu¹

¹Center for Quantum Science and Engineering, and Department of Physics, Stevens Institute of Technology, Hoboken, NJ 07030, USA.

Entropy (Basel, Switzerland)

|April 26, 2025

Summary

This summary is machine-generated.

This study demonstrates complete synchronization of dissipative quantum harmonic oscillators using a controller and active-passive decomposition (APD). Synchronization is achieved in both stable and unstable quantum regimes, including chaotic motions.

Keywords:

chaos optomechanical system quantum synchronization

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Area of Science:

Quantum physics
Quantum optics
Quantum chaos

Background:

Quantum harmonic oscillators are fundamental systems in quantum mechanics.
Dissipative quantum systems are crucial for understanding real-world quantum phenomena.
Synchronization in classical systems is well-understood, but quantum synchronization is an emerging field.

Purpose of the Study:

To investigate the synchronization of dissipative quantum harmonic oscillators.
To explore the role of a common classical controller in achieving quantum synchronization.
To analyze synchronization in both stable and unstable quantum regimes.

Main Methods:

Utilizing the active-passive decomposition (APD) configuration.
Modeling quantum systems within a quantum open system framework.
Employing numerical simulations in an optomechanical setup.

Main Results:

Demonstrated complete synchronization of dissipative quantum harmonic oscillators.
Showed that synchronization can be achieved via a common classical controller.
Confirmed synchronization in both stable (limit cycles) and unstable (chaotic) quantum regimes.
Verified synchronization in quantum mechanical resonators within an optomechanical system.

Conclusions:

Complete synchronization of dissipative quantum harmonic oscillators is achievable.
The active-passive decomposition (APD) configuration is effective for quantum synchronization.
Quantum synchronization can occur even in the presence of dissipation and quantum chaos.