Applying matrix product operators to model systems with long-range interactions
By Gregory M Crosswhite, Andrew C. Doherty, Guifré Vidal. 2008
135 citations recorded by the source corpus.
An algorithm is presented which computes a translationally invariant matrix product state approximation of the ground state of an infinite one-dimensional (1D) system. It does this by embedding sites into an approximation of the infinite “environment” of the chain, allowing the sites to relax and then merging them with the environment in order to refine the approximation. By making use of matrix product operators, our approach is able to directly model any long-range interaction that can be systematically approximated by a series of decaying exponentials. We apply these techniques to compute the ground state of the Haldane-Shastry model [Phys. Rev. Lett. 60, 635 (1988) and Phys. Rev. Lett. 60, 639 (1988)] and present the results.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/aca9c91c62901b201d7f7987bfe663e45964bcd3
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Quantum trajectories and open many-body quantum systems (2014, methodology): “Similar methods based on matrix product operators have been developed [232–236], which allow for both the study of time-dependent dynamics with long-range interactions [234], and the direct study of dissipative dynamics described by a master equation, with matrix product states used to represent a d”