Decoherence of Schrödinger cat states in a Luttinger liquid
Résumé
Schro¨dinger cat states built from quantum superpositions of left or right Luttinger fermions located at different positions in a spinless Luttinger liquid are onsidered. 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.