Hannover 2013 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 13: Quantum information: Concepts and methods I
Q 13.6: Talk
Monday, March 18, 2013, 15:15–15:30, E 214
Wick's theorem for matrix product states — •Robert Hübener1, Andrea Mari1,2,3, and Jens Eisert1 — 1Freie Universität Berlin — 2Universität Potsdam — 3Consiglio Nazionale delle Ricerche Pisa
Matrix product states and their continuous analogues are variational classes of states that capture quantum many-body systems or quantum fields with low entanglement; they are at the basis of the density-matrix renormalization group method and continuous variants thereof. In this talk we show that, generically, N-point functions of arbitrary operators in discrete and continuous translation invariant matrix product states are completely characterized by the corresponding two- and three-point functions. Aside from having important consequences for the structure of correlations in quantum states with low entanglement, this result provides a new way of reconstructing unknown states from correlation measurements e.g. for one-dimensional continuous systems of cold atoms. We argue that such a relation of correlation functions may help in devising perturbative approaches to interacting theories.