Video URL
https://pirsa.org/13030117Wick's theorem for Matrix Product states
APA
Huebener, R. (2013). Wick's theorem for Matrix Product states. Perimeter Institute for Theoretical Physics. https://pirsa.org/13030117
MLA
Huebener, Robert. Wick's theorem for Matrix Product states. Perimeter Institute for Theoretical Physics, Mar. 25, 2013, https://pirsa.org/13030117
BibTex
@misc{ scivideos_PIRSA:13030117, doi = {10.48660/13030117}, url = {https://pirsa.org/13030117}, author = {Huebener, Robert}, keywords = {Quantum Information}, language = {en}, title = {Wick{\textquoteright}s theorem for Matrix Product states}, publisher = {Perimeter Institute for Theoretical Physics}, year = {2013}, month = {mar}, note = {PIRSA:13030117 see, \url{https://scivideos.org/pirsa/13030117}} }
Robert Huebener Freie Universität Berlin
Source Repository
PIRSA
Collection
Talk Type
Scientific Series
Subject
Abstract
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