Subleading conformal dimensions using a qubit regularization of the O(4) model

26 Jul 2021, 14:30
15m
Oral presentation Algorithms (including Machine Learning, Quantum Computing, Tensor Networks) Algorithms (including Machine Learning, Quantum Computing, Tensor Networks)

Speaker

Prof. Shailesh Chandrasekharan (Duke University)

Description

Computing conformal dimensions $D(j_L,j_R)$ of local fields that transform in an irreducible representation of $SU(2) \times SU(2)$ labeled with $(j_L,j_R)$ at the $O(4)$ Wilson-Fisher fixed point has become interesting recently, especially when $j_L$, $j_R$ become large. These calculations are challenging in the traditional lattice $O(4)$ model. We can overcome these difficulties by using a qubit regularized O(4) model constructed with a local five dimensional Hilbert space. While previously we computed $D(j,j)$ using this approach, here we design an algorithm to compute $D(j,j-1)$ for $2 \leq j \leq 20$.

Primary authors

Prof. Shailesh Chandrasekharan (Duke University) Prof. Debasish Banerjee (Saha Institute for Nuclear Physics)

Presentation materials