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Experimental study of active LRC circuits with $\mathcalPT$ symmetries

by: Joseph Schindler, Ang Li, Mei C. Zheng, F. M. Ellis, Tsampikos Kottos
Physical Review A, Vol. 84 (Oct 2011), 040101, doi:10.1103/physreva.84.040101  Key: citeulike:9903640

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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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