Multiparticle decoherence-free subspaces in extended systems
Author(s) -
Raisa I. Karasik,
Karl-Peter Marzlin,
Barry C. Sanders,
K. Birgitta Whaley
Publication year - 2007
Publication title -
physical review a
Language(s) - English
Resource type - Journals
eISSN - 1094-1622
pISSN - 1050-2947
DOI - 10.1103/physreva.76.012331
Subject(s) - quantum decoherence , physics , subspace topology , decoherence free subspaces , linear subspace , statistical physics , coupling (piping) , infinitesimal , limit (mathematics) , markov process , quantum mechanics , open quantum system , quantum , pure mathematics , quantum error correction , mathematical analysis , mathematics , mechanical engineering , statistics , engineering
We develop a method to determine spatial configurations to realizedecoherence-free subspaces for spatially extended multi-particle systems. Wehave assumed normal reservoir behavior including translational invariance ofthe reservoir and preparation in stationary states or mixture thereof and weakMarkovian system-reservoir coupling that requires energy transfer. Oneimportant outcome of our method is a proof that there does not exist amulti-particle decoherence-free subspace in such systems except in the limitthat the spatial extent of the system becomes infinitesimal.Comment: 12 pages, 2 figure
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