Disorder In Optical Lattices : Localization Effects In Ultracold Atomic Gases The mixture of boson(41K)-boson(87Rb) in one dimensional optical lattice Bose-Einstein Condensation are studied for different disorders. State of the system are determined with tight-binding Bose-Hubbard Hamiltonian. To examine density of state and lozalization properties are used Green function approach. State of the system within an optical lattice with short-range correlated disorder are analyised with changing of the site’s energy and it is determined that system is localized with increasing energy difference between sites.
With changing the hopping energy, state of the system is investigated for both of the system which is under short-range and long-range correlated disorder and is compared both of the systems. It is showed that density of the systems are similar as hopping energy increase for both of the systems.
