28 July 2024 to 3 August 2024
Europe/London timezone

Tensor-network Toolbox for probing dynamics of non-Abelian Gauge Theories

2 Aug 2024, 15:35
20m
Talk Theoretical Developments Theoretical developments

Speaker

Emil Mathew (BITS Pilani KK Birla Goa Campus)

Description

Tensor-network methods are valuable Hamiltonian-simulation methods which enable probing dynamics of strongly-interacting quantum-many-body systems, including gauge theories, without encountering sign problems. They also have the potential to inform efficient quantum-simulation algorithms of the same theories. We develop and benchmark a matrix-product-state (MPS) ansatz for the SU(2) lattice gauge theory using the loop-string-hadron (LSH) framework. The LSH framework has been demonstrated to be advantageous in Hamiltonian simulation of non-Abelian gauge theories. It is applicable to varying gauge groups [SU(2) and SU(3)], boundary conditions, and in higher dimensions. In this talk, I report on progress in achieving the continuum limit of the static observables in a SU(2) gauge theory in (1+1) D and pushing the boundary of dynamical studies. The current toolbox can be applied to studying scattering processes in this model. It can also be straightforwardly generalized to (2+1)D given the simplified constraints in an LSH framework.

Primary authors

Emil Mathew (BITS Pilani KK Birla Goa Campus) Dr Indrakshi Raychowdhury (BITS Pilani KK Birla Goa Campus) Dr Jesse Stryker (Physics Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA) Navya Gupta (University of Maryland, College Park) Dr Nicholas Pomata (Joint Quantum Institute, University of Maryland at College Park, College Park, MD 20742, USA) Dr Saurabh Kadam (InQubator for Quantum Simulation (IQuS), Department of Physics, University of Washington, Seattle, WA 98195, USA) Zohreh Davoudi (Department of Physics, University of Maryland, College Park, MD 20742 USA)

Presentation materials