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Exact solution of quantum dynamics of a cantilever coupling to a single trapped ultracold ion

T. Liu·M. Feng·K. L. Wang
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Abstract

The quantum behavior of a precooled cantilever can be probed highly efficiently by coupling to a trapped ultracold ion, in which a fast cooling of the cantilever down to the ground vibrational state is possible. We solve the dynamics of the coupling system by a squeezed-state expansion technique, and can in principle obtain the exact solution of the time-evolution of the coupling system. Compared to the treatment under rotating-wave approximation, we can present a more accurate description of the quantum behavior of the cantilever.

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T. Liu, M. Feng, K. L. Wang. 2005-12-21. Exact solution of quantum dynamics of a cantilever coupling to a single trapped ultracold ion. https://arxiv.org/abs/quant-ph/0509160

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