Abstract
Here we present an expanded analysis of a model for the manipulation and control of observables in a strongly correlated, many-body system, which was first presented by McCaul et al. [G. McCaul et al., Phys. Rev. Lett. 124, 183201 (2020)]. A field-free, nonlinear equation of motion for controlling the expectation value of an essentially arbitrary observable is derived, together with rigorous constraints that determine the limits of controllability. We show that these constraints arise from the physically reasonable assumptions that the system will undergo unitary time evolution, and has enough degrees of freedom for the electrons to be mobile. Furthermore, we give examples of multiple solutions to generating target observable trajectories when the constraints are violated. Ehrenfest theorems are used to further refine the model and provide a check on the validity of numerical simulations. Finally, the experimental feasibility of implementing the control fields generated by this model is discussed.
- Received 13 December 2019
- Accepted 2 March 2020
DOI:https://doi.org/10.1103/PhysRevA.101.053408
©2020 American Physical Society
Physics Subject Headings (PhySH)
Viewpoint
ViewpointMaking Materials Mimic Each Other
Published 6 May 2020
A novel framework for controlling many-body systems with external fields shows how two distinct materials could be made to mimic each other or form more exotic materials.
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