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arXiv · 1711.09945

Integrable time-dependent quantum Hamiltonians

Nikolai A. Sinitsyn·Emil A. Yuzbashyan·Vladimir Y. Chernyak·Aniket Patra·Chen Sun
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Abstract

We formulate a set of conditions under which dynamics of a time-dependent quantum Hamiltonian are integrable. The main requirement is the existence of a nonabelian gauge field with zero curvature in the space of system parameters. Known solvable multistate Landau-Zener models satisfy these conditions. Our method provides a strategy to incorporate time-dependence into various quantum integrable models, so that the resulting non-stationary Schrodinger equation is exactly solvable. We also validate some prior conjectures, including the solution of the driven generalized Tavis-Cummings model.

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Nikolai A. Sinitsyn, Emil A. Yuzbashyan, Vladimir Y. Chernyak, Aniket Patra, Chen Sun. 2017-11-27. Integrable time-dependent quantum Hamiltonians. https://doi.org/10.1103/physrevlett.120.190402

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