2014/07/31 by Courtney G. Brell, Courtney G Brell, Stephen D. Bartlett +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Covariant Hamiltonian field theory #First order #Ground state #Hamiltonian (control theory) #Perturbation (astronomy) #Phase space #Quantum many-body systems #Topological Materials and Phenomena #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1088/1367-2630/16/12/123056
published as New J. Phys. 16, 123056 (2014) · 26 pages, 4 figures, v2 published version
openalex publication_date 2014/12/22 · arxiv created 2014/12/23 · arxiv updated 2014/12/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We construct parent Hamiltonians involving only local 2-body interactions for a broad class of projected entangled pair states (PEPS). Making use of perturbation gadget techniques, we define a perturbative Hamiltonian acting on the virtual PEPS space with a finite order low energy effective Hamiltonian that is a gapped, frustration-free parent Hamiltonian for an encoded version of a desired PEPS. For topologically ordered PEPS, the ground space of the low energy effective Hamiltonian is shown to be in the same phase as the desired state to all orders of perturbation theory. An encoded parent Hamiltonian for the double semion string net ground state is explicitly constructed as a concrete example.