Optomechanically induced transparency in multi-cavity optomechanical system with and without one two-level atom

Area of Science:

• Quantum optics
• Cavity optomechanics
• Atomic physics

Background:

• Optomechanically induced transparency (OMIT) is a quantum interference effect.
• N-cavity systems offer complex platforms for studying light-matter interactions.
• The role of atomic positioning in OMIT is not fully understood.

Purpose of the Study:

• To analytically investigate OMIT in an N-cavity system.
• To determine how the number of OMIT windows is influenced by cavity count and atom placement.
• To explore the distinct roles an atom plays when trapped in different cavities.

Main Methods:

• Analytical study of OMIT in an N-cavity system.
• Resolved sideband regime analysis.
• Modeling of pump and probe laser fields driving the Nth cavity.
• Coupling of the 1st cavity to a mechanical oscillator.
• Inclusion of a two-level atom trapped in the ith cavity.

Main Results:

• The maximum number of OMIT windows is precisely determined by the number of cavities.
• Trapping a two-level atom in an even-labeled cavity splits the central peak, creating an additional OMIT window.
• Trapping an atom in an odd-labeled cavity broadens the central peak, affecting OMIT window width but not creating new windows.

Conclusions:

• Cavity number dictates the potential for OMIT windows.
• Atomic placement is crucial for controlling OMIT phenomena.
• Even-labeled cavities offer a route to generating additional OMIT windows via atomic interaction.