Effective Hamiltonian theory of the geometric evolution of quantum systems

ORAL

Abstract

We present an effective Hamiltonian description of the quantum dynamics of a generalized Lambda system undergoing adiabatic evolution [1]. We assume the system to be initialized in the dark subspace and show that its holonomic evolution can be viewed as a conventional Hamiltonian dynamics in an appropriately chosen extended Hilbert space. In contrast to the existing approaches, our method does not require the calculation of the non-Abelian Berry connection and can be applied without any parametrization of the dark subspace, which becomes a challenging problem with increasing system size.

[1] arXiv:1810.00193

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Presenters

  • Vladyslav Shkolnykov

    Department of Physics, University of Konstanz, D-78457 Konstanz, Germany

Authors

  • Vladyslav Shkolnykov

    Department of Physics, University of Konstanz, D-78457 Konstanz, Germany

  • Guido Burkard

    Department of Physics, University of Konstanz, D-78457 Konstanz, Germany, University of Konstanz, Department of Physics, University of Konstanz, Department of Physics, University of Konstanz, Konstanz, Germany