Generating high-order exceptional points in coupled electronic oscillators using complex synthetic gauge fields

• URL: http://arxiv.org/abs/2302.06699v1
• Date: Mon, 13 Feb 2023 21:24:54 GMT
• Title: Generating high-order exceptional points in coupled electronic oscillators using complex synthetic gauge fields
• Authors: Jos\'e D. Huerta-Morales, Mario A. Quiroz-Ju\'arez, Yogesh N. Joglekar, Roberto de J. Le\'on-Montiel
• Abstract summary: We show that high-order EPs can be designed by means of linear, time-modulated, chain of inductively coupled RLC circuits. Our results pave the way toward realizing robust, arbitrary-order EPs by means of synthetic gauge fields.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Exceptional points (EPs) are degeneracies of non-Hermitian systems, where both eigenvalues and eigenvectors coalesce. Classical and quantum systems exhibiting high-order EPs have recently been identified as fundamental building blocks for the development of novel, ultra-sensitive opto-electronic devices. However, arguably one of their major drawbacks is that they rely on non-linear amplification processes that could limit their potential applications, particularly in the quantum realm. In this work, we show that high-order EPs can be designed by means of linear, time-modulated, chain of inductively coupled RLC (where R stands for resistance, L for inductance, and C for capacitance) electronic circuits. With a general theory, we show that $N$ coupled circuits with $2N$ dynamical variables and time-dependent parameters can be mapped onto an $N$-site, time-dependent, non-Hermitian Hamiltonian, and obtain constraints for $\mathcal{PT}$-symmetry in such models. With numerical calculations, we obtain the Floquet exceptional contours of order $N$ by studying the energy dynamics in the circuit. Our results pave the way toward realizing robust, arbitrary-order EPs by means of synthetic gauge fields, with important implications for sensing, energy transfer, and topology.

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