Bypassing the bandwidth theorem with PT symmetry
arXiv:1205.1847 · doi:10.1103/PhysRevA.85.062122
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
References in corpus (13)
- PT-symmetry breaking and laser-absorber modes in optical scattering systems
- Visualization of Branch Points in PT-Symmetric Waveguides
- Unidirectional Nonlinear PT-symmetric Optical Structures
- Faster than Hermitian Quantum Mechanics
- Exponentially Fragile PT-Symmetry in Lattices with Localized Eigenmodes
- A non-Hermitian symmetric Bose-Hubbard model: eigenvalue rings from unfolding higher-order exceptional points
- The Naimark dilated PT-symmetric brachistochrone
- PT-Symmetric Wave Chaos
- Quantum Brachistochrone Problem and the Geometry of the State Space in Pseudo-Hermitian Quantum Mechanics
- The PT-symmetric brachistochrone problem, Lorentz boosts and non-unitary operator equivalence classes
- On Hamiltonians Generating Optimal-Speed Evolutions
- The quantum brachistochrone problem for non-Hermitian Hamiltonians
- Lower bound of minimal time evolution in quantum mechanics