Many-body quantum dynamics of spin-orbit coupled Andreev states in a Zeeman field

Abstract

We provide a theoretical framework to describe the quantum many-body dynamics of Andreev states in Josephson junctions with spin-orbit coupling and a magnetic Zeeman field. In such cases, employing a doubled Nambu spinor description is technically advantageous but one then has to be careful to avoid double-counting problems. By deriving the Lindblad master equation in the socalled excitation picture, we show that a physically consistent many-body theory free from doublecounting problems follows. We apply our formalism to a study of dynamical parity stabilization of the Andreev sector at intermediate times after an initial microwave pulse, in particular addressing the combined effects of spin-orbit coupling and Zeeman field.

18 pages, 11 figures

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Cited by in corpus (4)

• Green's Function Approach to Josephson Dot Dynamics and Application to Quantum Mpemba Effects
• Phase diagram of the disordered Kitaev chain with long range pairing connected to external baths
• Error threshold in active steering protocols for few-qubit systems
• Effects of electron-electron interaction and spin-orbit coupling on Andreev pair qubits in quantum dot Josephson junctions