Speaker
Hersh Singh
(Duke University)
Description
We construct a qubit formulation of the lattice $O(N)$ non-linear sigma model in $d+1$ dimensions. For the $O(3)$ model, our construction uses two qubits per lattice site. We show that this Hamiltonian in two spatial dimensions has a quantum critical point where the well known scale invariant physics of the Wilson-Fisher fixed point is reproduced. Free massive bosons arise in three spatial dimensions. Simple modifications to our Hamiltonian also give us $O(2)$ and $Z_2$ qubit models.
Author
Hersh Singh
(Duke University)
Co-author
Shailesh Chandrasekharan
(Duke University)
