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Phys. Rev. B 62, 10706–10722 (2000)

Decoherence of Schrödinger cat states in a Luttinger liquid

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P. Degiovanni* and S. Peysson
Laboratoire de Physique de l’Ecole Normale Supérieure de Lyon, Groupe de Physique Théorique, 46 allée d’Italie, 69007 Lyon, France

Received 3 February 2000; published in the issue dated 15 October 2000

Schrödinger cat states built from quantum superpositions of left or right Luttinger fermions located at different positions in a spinless Luttinger liquid are considered. Their decoherence rates are computed within the bosonization approach, using as environments the quantum electromagnetic field or two- or three-dimensional acoustic phonon baths. Emphasis is put on the differences between the electromagnetic and acoustic environments.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.62.10706
DOI:
10.1103/PhysRevB.62.10706
PACS:
71.10.Pm, 42.50.Md, 71.38.+i

*Email: Pascal.Degiovanni@ens-lyon.fr

Email: Stephane.Peysson@ens-lyon.fr