Floquet Expansion by Counting Pump Photons.

Area of Science:

• Quantum mechanics
• Quantum optics
• Condensed matter physics

Background:

• Periodically driven systems present challenges due to competing timescales.
• Standard Floquet methods have limitations, particularly concerning the rotating wave approximation and classical-Floquet mismatch.

Purpose of the Study:

• To develop a novel framework for describing interacting bosonic driven systems.
• To improve the accuracy and applicability of quantum Floquet theory.
• To address the discrepancy between quantum and classical Floquet formalisms.

Main Methods:

• Utilizing a Floquet expansion combined with a photon-counting quantization.
• Extending the formalism beyond the rotating wave approximation.
• Analyzing interacting bosonic systems.

Main Results:

• Demonstrating superior performance compared to standard Floquet approaches.
• Resolving the mismatch between quantum and classical Floquet formalisms.
• Identifying key corrections to multiphoton resonance positions.

Conclusions:

• The proposed photon-counting Floquet framework offers a more robust description of driven quantum systems.
• This advancement is crucial for accurate qubit calibration and operation.
• The method provides a unified approach to quantum and classical descriptions of driven systems.