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Open Quantum Systems Decoherence Quantum Simulation

Quantum adiabatic evolution with energy-degeneracy levels

arXiv
Authors: Qi Zhang

Year

2015

Paper ID

26442

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

Citations

N/A

Abstract

A classical-kind phase-space formalism is developed to address the tiny intrinsic dynamical deviation from what is predicted by Wilczek-Zee theorem during quantum adiabatic evolution on degeneracy levels. In this formalism, the Hilbert space and the aggregate of degenerate eigenstates become the classical-kind phase-space and a high-dimensional subspace in the phase-space, respectively. Compared with the previous same study by a different method, the current result is qualitatively different in that the first-order deviation derived here is always perpendicular to the degeneracy subspace. A tripod scheme Hamiltonian with two degenerate dark states is employed to illustrate the adiabatic deviation with degeneracy levels.

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  • A classical-kind phase-space formalism is developed to address the tiny intrinsic dynamical deviation from what is predicted by Wilczek-Zee theorem during quantum adiabatic...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1510.08645 [2] arXiv https://arxiv.org/abs/1510.08645 [3] Publisher https://arxiv.org/abs/1510.08645

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