Lindblad master equation approach to superconductivity in open quantum systems

Journal Publication ResearchOnline@JCU
Kosov, Daniel S.;Prosen, Tomaz;Zunkovic, Bojan
Abstract

We consider an open quantum Fermi system which consists of a single degenerate level with pairing interactions embedded into a superconducting bath. The time evolution of the reduced density matrix for the system is given by the Linblad master equation, where the dissipators describe exchange of Bogoliubov quasiparticles with the bath. We obtain fixed points of the time evolution equation for the covariance matrix and study their stability by analyzing full dynamics of the complex order parameter.

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44

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1751-8113

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Issue

46

Pages Count

6

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Publisher

Institute of Physics Publishing

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DOI

10.1088/1751-8113/44/46/462001