Switching of Quantum Synchronization in Coupled Optomechanical Oscillators

J. Phys. Commun 5, 115006 (2021)

Author	Affiliation
Sampreet Kalita	Indian Institute of Technology Guwahati, Guwahati-781039, India
Subhadeep Chakraborty	Indian Institute of Science Education and Research Kolkata, Nadia-741246, India
Amarendra Kumar Sarma	Indian Institute of Technology Guwahati, Guwahati-781039, India

Contributing Part	SK	SC
Literature review	40%	60%
Idea and formulation	20%	80%
Derivations of expressions	70%	30%
Parameter sweeping	40%	60%
Illustrations and plots	80%	20%
Results and discussion	60%	40%
Manuscript preparation	40%	60%

About the Work

We explore the phenomenon of quantum phase synchronization in two optomechanical oscillators, coupled either bidirectionally or unidirectionally to each other. We first show that irrespective of the configuration of the optomechanical oscillators, synchronization can be achieved, with a finite degree of quantum correlation. However, while looking at the variation of the synchronization against the frequency detuning of the two oscillators, we observe a profound effect of the directionality of the optical coupling. For instance, we find that when the two optomechanical cavities exchange photons bidirectionally, synchronization traces the classic Arnold tongue. Whereas, for the unidirectional configuration, synchronization exhibits a novel blockade-like behavior where finite detuning favors synchronization. We also observe a strong connection between synchronization blockade and synchronization phase transition.

Notebooks

• Adiabatic Elimination in the Simple Bidirectionally-coupled Configuration (Bi_00)
• Adiabatic Elimination in the Simple Unidirectionally-coupled Configuration (Uni_00)
• Plots in the Latest Version of the Manuscript

Structure of the Repository

ROOT_DIR/
|
├───data/
│   ├───bar/
│   │   ├───baz_xyz.npz
│   │   └───...
│   └───...
|
├───notebooks/
│   ├───bar/
│   │   ├───baz.ipynb
│   │   └───...
│   │
│   ├───foo_baz.ipynb
│   └───...
|
│───scripts/
│   ├───bar/
│   │   ├───baz.py
│   │   └───...
│   └───...
|
├───systems/
│   ├───__init__.py
│   ├───Foo.py
│   └───...
│
├───.gitignore
├───CHANGELOG.md
└───README.md

Here, foo represents the module or class and bar represents the version.

Installing Dependencies

All numerical data and plots are obtained using the Quantum Optomechanics Toolbox, an open-source Python framework to simulate optomechanical systems. Refer to the QOM toolbox documentation for the steps to install this libary.

Running the Scripts

To run the scripts, navigate inside the top-level directory, and execute:

python scripts/bar/baz.py

Here, bar is the name of the folder (containing the version information) inside scripts and baz.py is the name of the script (refer to the repository structure).