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Bypassing the bandwidth theorem with PT symmetry

Ramezani, H.; Schindler, J.; Ellis, F.; Günther, U.; Kottos, T.

The beat time associated with the energy transfer between two coupled oscillators is dictated by the bandwidth theorem which sets a lower bound. We show, both experimentally and theoretically, that two coupled active LRC electrical oscillators with parity-time (PT) symmetry bypass the lower bound imposed by the bandwidth theorem, reducing the beat time to zero while retaining a real valued spectrum and fixed eigenfrequency difference. Our results foster design strategies which lead to (stable) pseudo-unitary wave evolution, and may allow for ultrafast computation, telecommunication, and signal processing.

Keywords: PT symmetry; PT quantum mechanics; LRC circuits; bandwidth theorem; PT-brachistochrone; tachistochrone; evolution time contraction; evolution time dilation; beat time reduction

Permalink: https://www.hzdr.de/publications/Publ-17587
Publ.-Id: 17587