Dissipation driven dynamical topological phase transitions in two-dimensional superconductors

Abstract

We induce and study a topological dynamical phase transition between two planar superconducting phases. Using the Lindblad equation to account for the interactions of Bogoliubov quasiparticles among themselves and with the fluctuations of the superconducting order parameter, we derive the relaxation dynamics of the order parameter. To characterize the phase transition, we compute the fidelity and the spin-Hall conductance of the open system. Our approach provides crucial informations for experimental implementations, such as the dependence of the critical time on the system-bath coupling.

12 pages, 6 .eps figures. Includes Supplemental Material as a part of the Main File

References in corpus (6)

• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Dynamical vanishing of the order parameter in a fermionic condensate
• Mixed state dynamical quantum phase transition and emergent topology
• From sudden quench to adiabatic dynamics in the attractive Hubbard model
• Lindblad master equation approach to the dissipative quench dynamics of planar superconductors
• Interplay between singlet and triplet pairings in multi-band two-dimensional oxide superconductors

Cited by in corpus (6)

• Mpemba effects in open nonequilibrium quantum systems
• 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
• Speeding up Pontus-Mpemba effects via dynamical phase transitions
• Environment induced dynamical quantum phase transitions in two-qubit Rabi model
• Charge current and phase diagram of the disordered open longer-range Kitaev chain