Speaker
Description
In recent years, real-time evolution based on the Hamiltonian formulation of lattice gauge theories has been investigated as an alternative framework that can circumvent the sign problem—a sampling inefficiency in quantum Monte Carlo methods arising from topological terms, chemical potentials, or real-time dynamics. With the rapid development of quantum computing, it is now plausible to handle the exponentially large Hilbert space of increasing gauge bosons.
To demonstrate the feasibility of this approach, we study the real-time simulation of SU(2) Yang-Mills theory on a (2+1)-dimensional lattice with staggered fermions. As a beginning of the entire blueprint ,we first classically emulate a digital quantum simulation of a (2+1) dimensional small lattice. By analyzing the entanglement growth between different spatial points and between gauge bosons and staggered fermions, we investigate the thermalization of the system. We also compute pair production and discuss its dependence on the choice of initial states.
Then, we also generalize our method to larger system which is a ladder lattice with periodic boundary condition. We exploit the periodic symmetry of the system to map the ladder lattice onto a spin system, and obtain the local Hamiltonian matrix for digital quantum simulation.