Speaker
Description
In recently years, the real-time evolution based on the Hamiltonian formulation of the lattice gauge theories has been investigated to challenge the so-called sign problem which is the inefficient sampling issue of the quantum Monte Carlo method when we have topological terms, chemical potentials or real time. Thanks to the recent rapidly developed quantum computing technology, it is reasonable to believe the quantum computing can deal with the large Hilbert space when the gauge bosons increasing since the computational resources increase exponentially with the growth in the number of qubits.
To demonstrate the feasibility of this scheme, we study the real-time simulation of SU(2) Yang-Mills theory on a (2+1) dimension small lattice with staggered fermion. We perform a digital quantum simulation of the system based on classical emulation. We simulate the entanglement among different points and the entanglement between gauge bosons and staggered fermions to investigate the thermalization of the system. We also calculate the pair production by setting specific initial state.
The two entanglement entropies both increase at first and then stabilize around some constants while fluctuating. The pair production also show such a tendency and an obvious dependence on the mass of the fermion mass.
