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Non-Hermitian two-level systems with imaginary components in Electronics

The systems having real spectra without being Hermitian are in expansion today in many fields of physics. The most investigated are Parity-Time Symmetric systems. Their Hamiltonians commute with the joint parity operator P and the time reversal T operator such that [PT, H]=0. Anti-Parity-Time symmetry is the counterpart of Parity-Time symmetry and is very emerging. Its Hamiltonians anti-commute with the PT operator. Generally, they are obtained in the form of matrices after a coupled mode theory, adiabatic elimination or rotating wave approximations. Electronics is presented nowadays as a test bed of non-Hermitian systems due the easy manipulation of components such resistors, inductors and capacitors. The imaginary components bring new configurations in the design of two-level systems without any approximation. The most powerful applications are listed as telemetry and sensing, wireless power transfer, topological circuits, new waveguides for asymmetric and non-reciprocal transport of information. 

Our results open the road for the design of new systems for possible used in the generation and manipulation of quantum bits at room temperature, and for the introduction of electronics in the complex quaternionic space. 

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Friday, July 31, 2020 - 11:00 to 12:30