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arXiv · 1203.6039

Exact real-time dynamics of the quantum Rabi model

F. Alexander Wolf·Marcus Kollar·Daniel Braak
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Abstract

We use the analytical solution of the quantum Rabi model to obtain absolutely convergent series expressions of the exact eigenstates and their scalar products with Fock states. This enables us to calculate the numerically exact time evolution of <σ_x(t)> and <σ_z(t)> for all regimes of the coupling strength, without truncation of the Hilbert space. We find a qualitatively different behavior of both observables which can be related to their representations in the invariant parity subspaces.

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F. Alexander Wolf, Marcus Kollar, Daniel Braak. 2012-05-22. Exact real-time dynamics of the quantum Rabi model. https://doi.org/10.1103/physreva.85.053817

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