Bypassing the bandwidth theorem with PT symmetry

Abstract

The beat time τ_{fpt} associated with the energy transfer between two coupled oscillators is dictated by the bandwidth theorem which sets a lower bound τ_{fpt}\sim 1/δω. 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 δω. Our results foster new design strategies which lead to (stable) pseudo-unitary wave evolution, and may allow for ultrafast computation, telecommunication, and signal processing.

5 pages, 3 figures

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Cited by in corpus (16)

• Mixed-state evolution in the presence of gain and loss
• PT-symmetric quantum Liouvillian dynamics
• Time-dependent Hamiltonians with 100% evolution speed efficiency
• Nonlinear PT-symmetric plaquettes
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Observation of two PT transitions in an electric circuit with balanced gain and loss
• Spectrum and normal modes of non-hermitian quadratic boson operators
• Realization of $\mathcal{P}\mathcal{T}$-symmetric and $\mathcal{P}\mathcal{T}$-symmetry broken states in static optical lattice potentials
• PT-symmetric sine-Gordon breathers
• Observation of SQUID-like behavior in fiber laser with intra-cavity epsilon-near-zero effect
• Quantum limits on the time-bandwidth product of an optical resonator
• Parity-Time Synthetic Laser
• Stable solitons in a nearly PT-symmetric ferromagnet with spin-transfer torque
• Integrability and trajectory confinement in $\mathcal{P}\mathcal{T}$-symmetric waveguide arrays
• Balanced gain and loss in spatially extended non-$\mathcal{P}\mathcal{T}$-symmetric multi-well potentials
• Multiplication of distributions in a linear gain and loss system