Bardeen-Cooper-Schrieffer State Representation and Pairing in the Fermionic Tonks-Girardeau Gas
The ground state of a fermionic Tonks-Girardeau gas is shown to be a number-conserving Bardeen-Cooper-Schrieffer (BCS) state. This new representation uses second quantization, allowing for exact description under any external potential and enabling the detection of pairing through specific measurable expectation values.