Integrable Time-Dependent Quantum Hamiltonians

Sinitsyn, Nikolai A.; Yuzbashyan, Emil A.; Chernyak, Vladimir Y.; Patra, Aniket; Sun, Chen

doi:10.1103/PhysRevLett.120.190402

Integrable Time-Dependent Quantum Hamiltonians

May 12, 2018

7 pages

Published in:

Phys.Rev.Lett. 120 (2018) 19, 190402

Published: May 12, 2018

DOI:

10.1103/PhysRevLett.120.190402

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Abstract: (APS)

We formulate a set of conditions under which the nonstationary Schrödinger equation with a time-dependent Hamiltonian is exactly solvable analytically. The main requirement is the existence of a non-Abelian 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 while maintaining their integrability. We also validate some prior conjectures, including the solution of the driven generalized Tavis-Cummings model.

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