Scale decoherence in inhomogeneous potentials

Details Scale decoherence in inhomogeneous potentials Scale decoherence in inhomogeneous potentials

1998-05-14

arxiv.org/abs/quant-ph/9805039v1

Physics

Quantum Physics

10 pages, plain TeX, 4 PostScript figures included with epsf.tex (ignore the under/overfull \vbox error messages)

Scientific paper

Finite precision measurement factors the Hilbert space of a quantum system into a tensor product $H_{coarse} \otimes H_{fine}$. This is mathematically equivalent to the partition into system and environment which forms the arena for decoherence, so we describe the consequences of the inaccessibility of $H_{fine}$ as scale decoherence. Considering the experimentally important case of a harmonic oscillator potential as well as a periodic piecewise constant potential, we show that scale decoherence occurs for inhomogeneous potentials and may explain part of the decoherence observed in recent and proposed experiments on mesoscopic superpositions of quantum states.

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