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- Wick's theorem for Matrix Product states

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.

Joint work with Andrea Mari and Jens Eisert.

arXiv:1207.6537

Collection/Series:

Event Type:

Seminar

Scientific Area(s):

Speaker(s):

Event Date:

Monday, March 25, 2013 - 16:00 to 17:30

Location:

Time Room

©2012 Perimeter Institute for Theoretical Physics