研究目的
Investigating the normal mode splitting in quantum degenerate Fermi gas trapped inside a Fabry–Pérot cavity in the strong coupling regime.
研究成果
The study successfully demonstrates the normal mode splitting in quantum degenerate Fermi gas inside a Fabry–Pérot cavity in the strong coupling regime. The splitting is influenced by system parameters such as coupling strength, number of fermionic atoms, and cavity decay rate. The findings are supported by numerical simulations based on current experimental capabilities.
研究不足
The study is limited by the assumptions of weak non-linearity and small fluctuations at steady state. The experimental realization depends on the precise control of system parameters like coupling strength and cavity decay rate.
1：Experimental Design and Method Selection:
The study involves a Fabry–Pérot cavity loaded with a quantum degenerate Fermi gas, interacting with a single mode light field. The theoretical model includes the Hamiltonian of fermions field operator and the quantum Heisenberg–Langevin’s equations of the system.
2：Sample Selection and Data Sources:
The experiment considers a Fabry–Pérot cavity of length L loaded with N number of two-level spinless fermions each of mass m.
3：List of Experimental Equipment and Materials:
The setup includes a Fabry–Pérot cavity, pump laser, fermionic atoms, and optical components for light field manipulation.
4：Experimental Procedures and Operational Workflow:
The cavity is driven by a pump laser, and the interaction between the fermionic mode and the cavity field is studied under various parameters like coupling strength, number of fermionic atoms, and cavity decay rate.
5：Data Analysis Methods:
The analysis involves solving the quantum Heisenberg–Langevin’s equations for fluctuations and studying the spectra of the outgoing field and its quadratures.
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