Utilizing Neutral Quantum Simulators to Explore Nonequilibrium Dynamics and to Measure Nonlocal Orders

Jaeyoon Choi

Department of Physics, Korea Advanced Institute of Science and Technology

Understanding and classifying out-of-equilibrium dynamics in a closed quantum many-body system have been outstanding problems in modern physics. In this talk, we will introduce our recent experimental results on the universal coarsening dynamics in spin-1 Bose-Einstein condensate. Initially prepared polar condensate is quenched to ferromagnetic phases by microwave dressing. Right after the quench, we observe the emission of spin 1/-1 pairs due to dynamical instability, forming microdomains, which are coarse to form a larger domain as time evolves. We find distinctive scaling behavior depends on the symmetry of the Hamiltonian and associated dynamics of topological defects like domain walls and spin vortices. In the second part of this talk, I will also introduce our new error correction method in quantum gas microscopy. The parity projected imaging system has a close analogy to the Ising model, where we systematically distinguish random holes and correlated particle-hole pairs in the Mott insulator. After removing the uncorrelated errors, we observe a dramatic improvement in the non-local parity correlator. Furthermore, we measure the generalized brane correlator and confirm that it can be an order parameter for Mott insulators in two dimensions.