Atom Optics – from de Broglie Waves to Heisenberg Ferromagnets

Magnetism in a lattice of spinor Bose-Einstein condensates

“…In addition to their ground state structure, spinor condensates in an optical lattices also possesses considerable potential for studying other phenomena such as spin waves [30], macroscopic magnetization tunneling [31], domain wall formation, etc. Future studies will also include the dynamical properties of the system.…”

“…For instance, given a ground state 2D lattice with primitive lattice constants a < b where all the spins are aligned along the ±ŷ direction, one can suddenly modify the lattice light so that a > b. Whether and how the spins adjust themselves to the new ground state will be an interesting problem, closely related to the phenomenon of spin tunneling [31]. In addition, these systems may also find applications in the field of quantum information and computation.…”

De Broglie waves as an effect of clock desynchronization

“…The wave nature of matter as predicted by Louis de Broglie in his doctoral dissertation of 1924 [1,2] has formed an accepted cornerstone of quantum mechanics ever since electrons [3,4] and later neutrons [5] were di¤racted by crystals and thin …lms. Di¤raction and interferometry has also con…rmed the de Broglie wavelength relation for atoms [6,7,8,9,10,11] and molecules as large as C 60 and C 70 fullerenes [12,13]. The advent of Bose-Einstein condensates has provided new tools for studying matter waves, such as laser-like sources of atoms [14] to enhance observations of di¤raction and interference in atomic systems.…”