Wick's theorem for Matrix Product states
APA
Huebener, R. (2013). Wick's theorem for Matrix Product states. Perimeter Institute. https://pirsa.org/13030117
MLA
Huebener, Robert. Wick's theorem for Matrix Product states. Perimeter Institute, Mar. 25, 2013, https://pirsa.org/13030117
BibTex
@misc{ pirsa_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}, year = {2013}, month = {mar}, note = {PIRSA:13030117 see, \url{https://pirsa.org}} }
Freie Universität Berlin
Collection
Talk Type
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
Joint work with Andrea Mari and Jens Eisert.
arXiv:1207.6537