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Experimental study of active LRC circuits with PT symmetries

Joseph Schindler, Ang Li, Mei C. Zheng, F. M. Ellis, and Tsampikos Kottos
Phys. Rev. A 84, 040101(R) – Published 13 October 2011
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Abstract

Mutually coupled modes of a pair of active LRC circuits, one with amplification and another with an equivalent amount of attenuation, provide an experimental realization of a wide class of systems where gain and loss mechanisms break the Hermiticity while preserving parity-time PT symmetry. For a value γPT of the gain and loss strength parameter the eigenfrequencies undergo a spontaneous phase transition from real to complex values, while the normal modes coalesce, acquiring a definite chirality. The consequences of the phase transition in the spatiotemporal energy evolution are also presented.

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  • Received 28 June 2011

DOI:https://doi.org/10.1103/PhysRevA.84.040101

©2011 American Physical Society

Synopsis

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Circuit Analysis

Published 13 October 2011

An electronic circuit provides a simple analog for a special class of quantum mechanical Hamiltonians.

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Authors & Affiliations

Joseph Schindler, Ang Li, Mei C. Zheng, F. M. Ellis, and Tsampikos Kottos

  • Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA

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Issue

Vol. 84, Iss. 4 — October 2011

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