That decoherence can take place in the presence of energy conservation seems to be a poorly known fact. That lack of knowledge has, for example, bedevilled the discussion of the 'black hole information' problem. I present a simple model that illustrates such energy-free decoherence.

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Decoherence without dissipation

G.W. Ford, R.F. O'Connell

arXiv:quant-ph/0301054Physics Letters AJul 1, 200173 citations

Springer proceedings in physics

Decoherence: Is Dissipation All It Takes?

H. J. Carmichael

Published Jan 1, 1994• 1 citation

Publisher

DOI: 10.1007/978-3-642-79101-7_23

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Rabi oscillations in the

{\mathrm{V}}_{15}

single molecule magnet embedded in the surfactant

(\mathrm{C}{\mathrm{H}}_{3}{)}_{2}[\mathrm{C}{\mathrm{H}}_{3}(\mathrm{C}{\mathrm{H}}_{2}{)}_{16}\mathrm{C}{\mathrm{H}}_{2}{]}_{2}{\mathrm{N}}^{+}

have been studied at different microwave powers. An intense damping peak is observed when the Rabi frequency ${\ensuremath{\Omega}}_{R}$ falls in the vicinity of the Larmor frequency of protons ${\ensuremath{\omega}}_{N}$. The experiments are interpreted by a model showing that the damping (or Rabi) time ${\ensuremath{\tau}}_{R}$ is directly associated with decoherence caused by electron-nuclear cross relaxation in the rotating reference frame. This decoherence induces energy dissipation in the range ${\ensuremath{\omega}}_{N}\ensuremath{-}{\ensuremath{\sigma}}_{e}<{\ensuremath{\Omega}}_{R}<{\ensuremath{\omega}}_{N}$, where ${\ensuremath{\sigma}}_{e}$ is the mean superhyperfine field induced by protons at

{\mathrm{V}}_{15}

. Weaker decoherence without dissipation takes place outside this window. Specific estimations suggest that this rapid cross relaxation in a resonant microwave field, observed for the first time in

{\mathrm{V}}_{15}

, should also take place, e.g., in

{\mathrm{Fe}}_{8}

and

{\mathrm{Mn}}_{12}