The Eigenstate Thermalization Hypothesis (ETH) assumption states that thermalization is caused by each eigenstate of the Hamiltonian of the system. However, ETH does not shed light on the dynamics that lead to thermalization. In this paper, we observe the thermalization of a Bose-Einstein condensate (BEC) confined to an optical lattice potential embedded in a harmonic trap. Such an optical lattice potential induces local friction in the oscillating BEC. The broadening of the BEC time-density plot indicates the thermalization of the BEC. Furthermore, we observe that the presence of the PT symmetry potential significantly influences the BEC dynamics and thermalization of the system. The presence of the PT symmetry potential provides a way to manipulate the mean position of the BEC to the desired location and over the desired time.
