Linearized time-dependent BCS theory implemented via the fluctuation-dissipation theorem is the minimal mean-field framework for pair distribution functions in a homogeneous unpolarized superfluid Fermi gas, capturing phonon effects and short-distance corrections missed by static BCS.
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The phase-number commutation for macroscopic order parameters emerges from second quantization in the thermodynamic limit, unifying BEC, BCS superconductivity, and their crossover as coherent-state dynamics.
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Pair distribution functions of a superfluid spin-1/2 Fermi gas with contact interactions in the linearized time-dependent BCS theory
Linearized time-dependent BCS theory implemented via the fluctuation-dissipation theorem is the minimal mean-field framework for pair distribution functions in a homogeneous unpolarized superfluid Fermi gas, capturing phonon effects and short-distance corrections missed by static BCS.
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Third Quantization for Order Parameter (I): BCS-BEC crossover with macroscopically coherent state
The phase-number commutation for macroscopic order parameters emerges from second quantization in the thermodynamic limit, unifying BEC, BCS superconductivity, and their crossover as coherent-state dynamics.