Effective Hamiltonian theory of the geometric evolution of quantum systems
arXiv:1810.00193 · doi:10.1103/PhysRevA.101.042101
Abstract
In this work we present an effective Hamiltonian description of the quantum dynamics of a generalized Lambda system undergoing adiabatic evolution. 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.
arXiv comment11 pages (including appendix), 3 figures, v2: extended and revised version
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Cited by in corpus (5)
- Avoiding leakage and errors caused by unwanted transitions in Lambda systems
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- Implementation of geometric quantum gates on microwave-driven semiconductor charge qubits
- Entangling distant systems via universal nonadiabatic passage
- Algorithms for Quantum Control without Discontinuities; Application to the Simultaneous Control of two Qubits