sampreet / omit_bec

Optomechanically induced transparency with an BEC inside a cavity

Pump-probe Cavity Optomechanics with a Rotating Atomic Superfluid in a Ring

Phys. Rev. A 107, 013525 (2023)

Author	Affiliation
Sampreet Kalita	Department of Physics, Indian Institute of Technology Guwahati, Assam 781039, India
Pardeep Kumar	Max Planck Institute for the Science of Light, Staatsstraße 2, 91058 Erlangen, Germany
Rina Kanamoto	Department of Physics, Meiji University, Kawasaki, Kanagawa 214-8571, Japan
Mishkatul Bhattacharya	School of Physics and Astronomy, Rochester Institute of Technology, 84 Lomb Memorial Drive, Rochester, New York 14623, USA
Amarendra Kumar Sarma	Department of Physics, Indian Institute of Technology Guwahati, Assam 781039, India

Contributing Part	SK	PK
Literature review	40%	60%
Idea and formulation	40%	60%
Derivations of expressions	70%	30%
Parameter sweeping	70%	30%
Illustrations and plots	60%	40%
Results and discussion	50%	50%
Manuscript preparation	60%	40%

About the Work

Atomic superfluids confined in a ring provide a remarkable paradigm for quantized circulation. Very recently, a technique based on cavity optomechanics has been proposed [Kumar et al., Phys. Rev. Lett. 127, 113601 (2021)] for sensing and manipulating the rotation of a bosonic ring condensate with minimal destruction, in situ and in real time. Here, we theoretically investigate other coherent interference effects that can be supported by the proposed configuration. Specifically, in the presence of a strong control beam, we analyze the influence of atomic rotation on the transmission spectrum of a weak probe laser through a cavity containing a ring condensate. We present a detailed study of the resulting narrow probe transmission profiles and group delay and show that they can be tuned by means of persistent currents. Our results explore a facet of rotating matter waves and are relevant to applications such as atomtronics, sensing, and information processing.

Notebooks

• Approximated expressions for the Routh-Hurwitz Criteria for the Analysis of Stability of a BEC-OM System with a weak probe laser and a strong control laser containing OAM (BEC_10)
• Routh-Hurwitz Criteria for the Analysis of Stability of a BEC-OM System with a weak probe laser and a strong control laser containing OAM (BEC_10)
• Calculation of Four-wave-mixing for a BEC-OM Model with a weak probe laser and a strong control laser containing OAM (BEC_10)
• Calculation of Optomechanically-induced Transparency for a BEC-OM Model with a weak probe laser and a strong control laser containing OAM (BEC_10)
• Approximated Expression for Transmission for a BEC-OM Model with a weak probe laser and a strong control laser containing OAM (BEC_10)
• Plots in the Latest Version of the Manuscript

Structure of the Repository

ROOT_DIR/
|
├───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).