Le contenu de cette page n’est pas disponible en français. Veuillez nous en excuser.

Wick's theorem for Matrix Product states

Playing this video requires the latest flash player from Adobe.

Download link (right click and 'save-as') for playing in VLC or other f4v compatible player.

Download Video

Recording Details

Scientific Areas: 
PIRSA Number: 


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.