Controlled probing of localization effects in non-Hermitian Aubry-André model via topolectrical circuits

• URL: http://arxiv.org/abs/2501.04502v2
• Date: Mon, 07 Apr 2025 16:26:30 GMT
• Title: Controlled probing of localization effects in non-Hermitian Aubry-André model via topolectrical circuits
• Authors: Dipendu Halder, Saurabh Basu,
• Abstract summary: Anderson localization (AL) and the non-Hermitian skin effect (NHSE) are two distinct confinement phenomena of the eigenfunctions that are, respectively, driven by disorder and non-reciprocity.<n>We investigate a non-Hermitian (NH) version of the celebrated Aubry-Andr'e (AA) model, which serves as an ideal platform due to its unique self-dual properties.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Anderson localization (AL) and the non-Hermitian skin effect (NHSE) are two distinct confinement phenomena of the eigenfunctions that are, respectively, driven by disorder and non-reciprocity. Understanding their interplay within a unified framework offers valuable insights into the localization properties of low-dimensional systems. To this end, we investigate a non-Hermitian (NH) version of the celebrated Aubry-Andr\'e (AA) model, which serves as an ideal platform due to its unique self-dual properties and ability to demonstrate localization-delocalization transition in one dimension. Interestingly, in our setting, the competition between AL and NHSE can be precisely controlled via the complex phase of the quasiperiodic disorder. Additionally, by analyzing the time evolution, we demonstrate quantum jumps between the NH-induced skin states and the AL states to occur in the system. Further, to gain support for our theoretical predictions in an experimental platform, we propose a topolectrical circuit featuring an interface that separates two distinct electrical circuit networks. The localization properties of our model can be studied by analyzing the voltage profile (VP) of the circuit. The VP exhibits confinement at the interface, analogous to the NHSE, while the phenomenon of AL can be perceived via the localization of the VP in the vicinity of the excitation node where the power supply is connected. This interplay leads to a spatially tunable localization of the VP. Our findings provide deeper insights into the controlled confinement of the eigenstates of the NH AA model by designing analogous features in topolectrical circuits that should open avenues in the fabrication of advanced electronic devices, such as highly sensitive sensors and efficient information transfer systems.

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