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  • Letter

Dissipation-driven dynamical topological phase transitions in two-dimensional superconductors

Andrea Nava1, Carmine Antonio Perroni2, Reinhold Egger1, Luca Lepori3, and Domenico Giuliano4

  • 1Institut für Theoretische Physik IV, Heinrich-Heine-Universität, D-40225 Düsseldorf, Germany
  • 2Dipartimento di Fisica “E. Pancini”, CNR-SPIN, and INFN, Sezione di Napoli, Complesso Universitario Monte S. Angelo, Via Cintia, I-80126 Napoli, Italy
  • 3Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma and INFN, Gruppo Collegato di Parma, Parco Area delle Scienze 7/A, I-43124 Parma, Italy
  • 4Dipartimento di Fisica, and INFN, Gruppo Collegato di Cosenza, Università della Calabria, Arcavacata di Rende, I-87036 Cosenza, Italy

Phys. Rev. B 109, L041107 – Published 19 January, 2024

DOI: https://doi.org/10.1103/PhysRevB.109.L041107

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 information for experimental implementations, such as the dependence of the critical time on the system-bath coupling.

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