研究目的
To investigate the dynamics of a system of two-level atoms interacting with a bosonic mode in the Dicke model, focusing on the effect of the diamagnetic term on the ground state wavefunction and entanglement in the ultra-strong coupling regime.
研究成果
The diamagnetic term crucially affects the superradiant phase transition, preventing it in cavity QED and shifting it in circuit QED. It limits the splitting of the ground state wavefunction and the achievement of maximally entangled states, as shown through energy spectrum analysis, Wigner function visualization, and entanglement entropy calculations.
研究不足
The study is theoretical and computational, lacking experimental validation. It focuses on specific models (cavity QED and circuit QED) and may not generalize to other systems. The thermodynamic limit assumption might not hold for finite systems.
1：Experimental Design and Method Selection:
The study uses theoretical and numerical methods based on the Dicke model, including energy spectrum analysis, Wigner distribution function visualization, and entanglement quantification via Von Neumann entropy.
2：Sample Selection and Data Sources:
No physical samples; the work is computational, using parameters from cavity QED and circuit QED systems.
3：List of Experimental Equipment and Materials:
No specific equipment mentioned; the study relies on computational tools.
4：Experimental Procedures and Operational Workflow:
Numerical simulations are performed to analyze energy spectra, plot Wigner functions, and compute entanglement entropy as functions of coupling strength and diamagnetic term.
5：Data Analysis Methods:
Diagonalization of Hamiltonians, numerical plotting, and entropy calculations are used to interpret results.
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