Quantum commutation relations for charge and flux in superconducting resonators emerge from third quantization of the local superconducting order parameter derived from the BCS Hamiltonian.
Evolution of the wave function in a dissipative system
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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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Third Quantization for Order Parameters (II): Local Field Quantization in Superconducting Quantum Circuits
Quantum commutation relations for charge and flux in superconducting resonators emerge from third quantization of the local superconducting order parameter derived from the BCS Hamiltonian.
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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.