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Superconducting Qubits

Resonant generation of p-wave Cooper pair in non-Hermitian Kitaev chain at exceptional point

arXiv
Authors: X. M. Yang, Z. Song

Year

2019

Paper ID

39843

Status

Preprint

Abstract Read

~2 min

Abstract Words

120

Citations

N/A

Abstract

We investigate a non-Hermitian extension of Kitaev chain by considering imaginary p-wave pairing amplitudes. The exact solution shows that the phase diagram consists two phases with real and complex \ Bogoliubov-de-gens spectra, associated with mathcal{PT}-symmetry breaking, which is separated by a hyperbolic exceptional line. The exceptional points (EPs) correspond to a specific Cooper pair state \(1+ckdagger c-kdagger \) leftvert 0rightrangle\ with movable k when the parameters vary along the exceptional line. The non-Hermiticity around EP supports resonant generation of such a pair state from the vacuum state % leftvert 0rightrangle of fermions via the critical dynamic process. In addition, we propose a scheme to generate a superconducting state through a dynamic method.

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  • This paper contributes to the Superconducting Qubits research area in the Quantum Articles archive.
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  • We investigate a non-Hermitian extension of Kitaev chain by considering imaginary p-wave pairing amplitudes.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1912.07227 [2] arXiv https://arxiv.org/abs/1912.07227 [3] Publisher https://arxiv.org/abs/1912.07227

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