Higher-order exceptional surface in a pseudo-Hermitian superconducting circuit
arxiv(2024)
摘要
In the last few years, much attention has been paid to exceptional surfaces
(ESs) owing to various important physical phenomena and potential applications.
However, high-order ESs in pseudo-Hermitian systems have not been reported
until now. Here, we study the high-order ES in a pseudo-Hermitian
superconducting (SC) circuit system. In our proposal, the SC circuit system is
composed of three circularly coupled SC cavities, where the gain and loss are
balanced. According to the eigenvalue properties of the pseudo-Hermitian
Hamiltonian, we derive the general pseudo-Hermitian conditions for the ternary
SC system. In the special pseudo-Hermitian case with parity-time symmetry, all
third-order exceptional points (EP3s) of the SC system form a third-order
exceptional line in the parameter space. Under the general pseudo-Hermitian
conditions, more EP3s are found, and all EP3s are located on a surface, i.e., a
third-order exceptional surface is constructed. Moreover, we also investigate
the eigenvalues of the pseudo-Hermitian SC circuit around EP3s. Our work opens
up a door for exploring high-order ESs and related applications in
pseudo-Hermitian systems.
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