Integrable Time-Dependent Quantum Hamiltonians.

  title={Integrable Time-Dependent Quantum Hamiltonians.},
  author={Nikolai A Sinitsyn and Emil A. Yuzbashyan and Vladimir Y. Chernyak and Aniket Patra and Chen Sun},
  journal={Physical review letters},
  volume={120 19},
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… Expand

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