4 papers
The robustness of composite pulses elucidated by classical mechanics. II. The role of initial state imperfection
Jonathan Berkheim, David J. Tannor
In nuclear magnetic resonance (NMR), Composite Pulses (CPs) are widely used to correct for pulse imperfections, e.g., RF field inhomogeneity and resonance offset. Although robust p…
The robustness of composite pulses elucidated by classical mechanics: Stability around the globe
Jonathan Berkheim, David J. Tannor
Composite Pulses (CPs) are widely used in Nuclear Magnetic Resonance (NMR), optical spectroscopy, optimal control experiments and quantum computing to manipulate systems that are w…
Audio Compression using Periodic Gabor with Biorthogonal Exchange: Implementation Using the Zak Transform
Roger Alimi, David J. Tannor
An efficient new approach to signal compression is presented based of a novel variation on the Gabor basis set. Following earlier work by Shimshovitz and Tannor, we convolve the co…
The Gaussian Kicked Rotor: Periodic forcing with finite-width pulses and the role of shifting the kick
Jonathan Berkheim, Shaked Levy, David J. Tannor
The Kicked Rotor is perhaps the simplest physical model to illuminate the transition from regular to chaotic motion in classical mechanics. It is also widely applied as a model of…