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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Review of proposals and experiments using coupled cavity arrays and superconducting circuits to realize many-body physics with photons, including Mott transitions, fractional quantum Hall states, and dissipative phase transitions.
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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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Many-Body Physics and Quantum Simulations with Strongly Interacting Photons
Review of proposals and experiments using coupled cavity arrays and superconducting circuits to realize many-body physics with photons, including Mott transitions, fractional quantum Hall states, and dissipative phase transitions.