Lindblad master equation approach to the dissipative quench dynamics of planar superconductors

Abstract

We employ the Lindblad master equation method to study the nonequilibrium dynamics following a parametric quench in the Hamiltonian of an open, two-dimensional superconducting system coupled to an external bath. Within our approach we show how, in the open system, the dissipation works as an effective stabilization mechanism in the time evolution of the system after the quench. Eventually, we evidence how the mismatch between the phases corresponding to the initial and to the final state of the system determines a dynamical phase transition between the two distinct phases. Our method allows for fully characterizing the dynamical phase transition in an open system in several cases of physical relevance, by means of a combined study of the time-dependent superconducting gap and of the fidelity between density matrices.

arXiv comment16 pages, 7 .eps figures, to appear in Physical Review B

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• Mpemba effects in open nonequilibrium quantum systems
• The fate of high winding number topological phases in the disordered extended Su-Schrieffer-Heeger model
• Dissipation driven dynamical topological phase transitions in two-dimensional superconductors
• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition
• Phase diagram of the disordered Kitaev chain with long range pairing connected to external baths
• Environment induced dynamical quantum phase transitions in two-qubit Rabi model
• Speeding up Pontus-Mpemba effects via dynamical phase transitions
• Charge current and phase diagram of the disordered open longer-range Kitaev chain