Driven Imposters: Controlling Expectations in Many-Body Systems

Abstract

We present a framework to control and track the observables of a general solid state system driven by an incident laser field. The main result is a non-linear equation of motion for tracking an observable, together with a constraint on the size of expectations which may be reproduced via tracking. Among other applications, this model provides a potential route to the design of laser fields which cause photo-induced superconductivity in materials above their critical temperature. As a first test, the strategy is used to make the expectation value of the current conform to an arbitrary function under a range of model parameters. Additionally, using two reference spectra for materials in the conducting and insulating regimes respectively, the tracking algorithm is used to make each material mimic the optical spectrum of the other.

arXiv comment5 pages, 3 figures, will be accompanied by an extended submission

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Cited by in corpus (17)

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• Lyapunov control-inspired strategies for quantum combinatorial optimization
• Controlling Arbitrary Observables in Correlated Many-body Systems
• Beating the House: Fast Simulation of Dissipative Quantum Systems with Ensemble Rank Truncation
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