Exceptional point in a coupled Swanson system
Bijan Bagchi, Rahul Ghosh, Sauvik Sen
TL;DR
This paper introduces a non-Hermitian two-mode model with interactions to identify and analyze exceptional points, using a coupled Swanson system with PT symmetry.
Contribution
It presents a novel interacting non-Hermitian model based on coupled Swanson Hamiltonians to study exceptional points in such systems.
Findings
Identification of conditions for exceptional points in the model
Analysis of PT symmetry in the coupled system
Insights into the spectral properties of the model
Abstract
We propose an interacting nonhermitian model described by a two-mode quadratic Hamiltonian along with an interaction term to locate and analyze the presence of an exceptional point in the system. Each mode is guided by a Swanson-like quadratic Hamiltonian and a suitable choice is made for the interaction term. The parity-time symmetric transformation is adopted in the standard way relevant for a coupled system.
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