4 papers
Statistical mechanics in continuous space with tensor network methods
Gunhee Park, Tomislav BeguÅ¡iÄ, Si-Jing Du +2
Tensor network (TN) methods are well established for computing partition functions in statistical mechanics, though this use has traditionally been limited to lattice models. We ex…
Edge Hamiltonian for Free Fermion Quantum Hall Models
Simon Du, Martin Fraas, Abi Gopal +1
We investigate a proposal of Kitaev for a microscopic construction of a Hamiltonian intended to describe the edge dynamics of a quantum Hall system. We show that the construction w…
Neuralized Fermionic Tensor Networks for Quantum Many-Body Systems
Si-Jing Du, Ao Chen, Garnet Kin-Lic Chan
We describe a class of neuralized fermionic tensor network states (NN-fTNS) that introduce non-linearity into fermionic tensor networks through configuration-dependent neural netwo…
Tensor Network Computations That Capture Strict Variationality, Volume Law Behavior, and the Efficient Representation of Neural Network States
Wen-Yuan Liu, Si-Jing Du, Ruojing Peng +2
We introduce a change of perspective on tensor network states that is defined by the computational graph of the contraction of an amplitude. The resulting class of states, which we…