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arXiv · 1708.02348

Exactly solvable one-qubit driving fields generated via non-linear equations

Marco Enriquez·Sara Cruz y Cruz
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Abstract

Using the Hubbard representation for $SU(2)$ we write the time-evolution operator of a two-level system in the disentangled form. This allows us to map the corresponding dynamical law into a set of non-linear coupled equations. In order to find exact solutions, we use an inverse approach and find families of time-dependent Hamiltonians whose off-diagonal elements are connected with the Ermakov equation. The physical meaning of the so-obtained Hamiltonians is discussed in the context of the nuclear magnetic resonance phenomenon

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Marco Enriquez, Sara Cruz y Cruz. 2017-08-08. Exactly solvable one-qubit driving fields generated via non-linear equations. https://arxiv.org/abs/1708.02348

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