Experimental study of active LRC circuits with PT symmetries

By J. Schindler, Ang Li, M. Zheng, F. Ellis, T. Kottos. 2011

712 citations recorded by the source corpus.

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 {gamma}{sub PT} 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.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/60552c61e299b3b2dc79fba1e7dd8647696ea6bf

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In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations (2017, methodology): “This concept has since been applied to optics [6,7], Bose-Einstein condensation [8], electric circuits [9], mechanical systems [10], magnetics [11] and other settings.”
Nonlinear Parity-Time-Symmetric Model for Constant Efficiency Wireless Power Transfer: Application to a Drone-in-Flight Wireless Charging Platform (2019, background): “, PT-symmetric conditions are satisfied), the energy stored in the transmitting and receiving resonators will maintain equal in the exact PT-symmetric region, typically resulting in constant transfer efficiency [17], [18].”
Biorthogonal quantum mechanics (2013, background): “or realised [49, 50, 51, 52, 53, 54, 55], although it should be added that experiments that have been realised so far involve classical systems, where measured quantities do not correspond to eigenvalues of an observable acting on states of Hilbert space.”
Generalized parity–time symmetry condition for enhanced sensor telemetry (2018, methodology): “Inspired by optical schemes, other PT -symmetric systems in electronics (sub-radiofrequency, 30 KHz and below [25]-[27] ) , acoustics [28] and optomechanics [29],[30] have also been recently reported.”
Observation of PT phase transition in a simple mechanical system (2012, neutral): “[4–12] The coupled-electronic-oscillator experiment by J.”
Symmetry and Topology in Non-Hermitian Physics (2018, background): “jp been shown that these mathematical properties lead to a number of unique phenomena and functionalities with no counterparts in Hermitian systems in both theory [39– 70] and experiments [71–99].”
Nonlinear waves in PT -symmetric systems (2016, methodology): “(62) This idea was suggested and experimentally implemented using the RLC circuits by Schindler et al. (2011) [Fig.”