Wigner distribution function formalism for superconductors and collisionless dynamics of the superconducting order parameter

Abstract

A technique to study collisionless dynamics of a homogeneous superconducting system is developed, which is based on Riccati parametrization of Wigner distribution function. The quantum evolution of the superconductiung order parameter, initially deviated from the equilibrium value, is calculated using this technique. The effect of a time-dependent BCS paring interaction on the dynamics of the order parameter is also studied.

14 pages, 5 figures

References in corpus (2)

• Quantum state engineering with Josephson-junction devices
• Observation of resonance condensation of fermionic atom pairs

Cited by in corpus (25)

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• Coupling of Higgs and Leggett modes in nonequilibrium superconductors
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• Signatures of nonadiabatic BCS state dynamics in pump-probe conductivity
• Integrable dynamics of coupled Fermi-Bose condensates
• Higgs-mediated optical amplification in a non-equilibrium superconductor
• Normal and anomalous solitons in the theory of dynamical Cooper pairing
• Resonant generation of coherent phonons in a superconductor by ultrafast optical pump pulses
• Dynamical Selection in Emergent Fermionic Pairing
• Periodic dynamics in superconductors induced by an impulsive optical quench
• Collective modes in pumped unconventional superconductors with competing ground states
• Dynamics of Order Parameters near Stationary States in Superconductors with a Charge-Density Wave
• Impact of damping on superconducting gap oscillations induced by intense Terahertz pulses
• Nonlinear Response of Diffusive Superconductors to $ac$-electromagnetic Fields
• Consequences of integrability breaking in quench dynamics of pairing Hamiltonians
• Short-time dynamics in $s+is$-wave superconductor with incipient bands
• Phase signatures in third-harmonic response of Higgs and coexisting modes in superconductors
• Interplay between nematicity and Bardasis-Schrieffer modes in the short-time dynamics of unconventional superconductors
• Dynamics of emergent Cooper pairing at finite temperatures
• Multi-condensate states in BCS superconductors
• ac properties of short Josephson weak links
• Signatures of Bardasis-Schrieffer mode excitation in Third-Harmonic generated currents