Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 29: Many-body Quantum Dynamics

DY 29.10: Talk

Wednesday, April 3, 2019, 12:15–12:30, H19

Effective Hamiltonian theory of the geometric evolution of quantum systems — •Vlad Shkolnikov and Guido Burkard — Department of Physics, University of Konstanz, D-78457 Konstanz, Germany

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] V.O. Shkolnikov and Guido Burkard, arXiv:1810.00193