Dynamic scaling in 1D XX Heisenberg Chains on 7Li Quantum Gas Microscope

Dynamic scaling, or the Family-Vicsek scaling, has been thoroughly studied in classical hydrodynamics and surface dynamics. The Kardar-Parishi-Zhang (KPZ) class scaling in XXZ Heisenberg chains has been reported recently [1,2]. In this poster, I will introduce the observation of the ballistic class (z=1) of dynamic scaling in a 1D XX Heisenberg chains on 7Li quantum gas microscope. Our system utilized the programmable light potential from a digital micromirror device (DMD) to prepare the charge density wave (CDW) initial state. Using the surface roughness parameter for the XX model, we measured the relaxation dynamics for different chain lengths L=8,10,12,14,16 [3]. The scaling exponents for the 1D XX model are α=0.51(3), β=0.4(1), z=1.0(1) which is in the ballistic class. We plan to implement a disorder potential in the optical lattice to observe how the scaling behavior of the XX model changes with disorder strength.

[1] Ljubotina et al., Phys.Rev.Lett. 122, 210602 (2019)

[2] D. Wei et al., Science 376, 716–720 (2022)

[3] Fujimoto et al., Phys.Rev.Lett. 124, 210604 (2020)