Speaker
Description
Quantum Monte Carlo simulations of strongly interacting fermionic models face significant challenges due to the sign problem, which complicates efficient configuration sampling. The Meron Cluster algorithm has proven effective in resolving the sign problem for both non-relativistic and relativistic fermions, as well as for fermions coupled with U(1) gauge links in (1+1)D. In this study, we implement the Meron Cluster algorithm for (2+1)-dimensional spin-1/2 U(1) gauge theory coupled with fermions, which can potentially be realized in cold atom systems. We simulate this setup, incorporating appropriate four-fermion interactions, and employ exact diagonalization methods for small lattices for comparison. We will also demonstrate the emergence of Gauss's law sectors at different temperature regimes.
| Field of contribution | Theory |
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