TY  - JOUR
A1  - Huebener, R.
A1  - Mari, Andrea
A1  - Eisert, Jens
T1  - Wick's theorem for matrix product states
JF  - Physical review letters
N2  - 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 work 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.
Y1  - 2013
U6  - https://doi.org/10.1103/PhysRevLett.110.040401
SN  - 0031-9007
VL  - 110
IS  - 4
PB  - American Physical Society
CY  - College Park
ER  -