Making Distinct Dynamical Systems Appear Spectrally Identical

Abstract

We show that a laser pulse can always be found that induces a desired optical response from an arbitrary dynamical system. As illustrations, driving fields are computed to induce the same optical response from a variety of distinct systems (open and closed, quantum and classical). As a result, the observed induced dipolar spectra without detailed information on the driving field is not sufficient to characterize atomic and molecular systems. The formulation may also be applied to design materials with specified optical characteristics. These findings reveal unexplored flexibilities of nonlinear optics.

9 pages, 5 figures

References in corpus (9)

• Dynamical suppression of decoherence in two-state quantum systems
• Self-Assembly of Patchy Particles into Diamond Structures through Molecular Mimicry
• Control of decoherence: analysis and comparison of three different strategies
• A two-dimensional, two-electron model atom in a laser pulse: exact treatment, single active electron-analysis, time-dependent density functional theory, classical calculations, and non-sequential ionization
• A survey of classical and quantum interpretations of experiments on Josephson junctions at very low temperatures
• Efficient method to generate time evolution of the Wigner function for open quantum systems
• Principles of Control for Decoherence-Free Subsystems
• Classical Approach to Multichromophoric Resonance Energy Transfer
• Conceptual inconsistencies in finite-dimensional quantum and classical mechanics

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