Adiabatically induced coherent Josephson oscillations of ultracold atoms in an asymmetric two-dimensional magnetic lattice.
We propose a new method to create an asymmetric two-dimensional magnetic lattice which exhibits magnetic band gap structure similar to semiconductor devices. The quantum device is assumed to host bound states of collective excitations formed in a magnetically trapped quantum degenerate gas of ultracold atoms such as a Bose-Einstein condensate (BEC) or a degenerate Fermi gas. A theoretical framework is established to describe possible realization of the exciton-Mott to discharging Josephson states oscillations in which the adiabatically controlled oscillations induce ac and dc Josephson atomic currents where this effect can be used to transfer n Josephson qubits across the asymmetric two-dimensional magnetic lattice. We consider second-quantized Hamiltonians to describe the Mott insulator state and the coherence of multiple tunneling between adjacent magnetic lattice sites where we derive the self consistent non-linear Schrödinger equation with a proper field operator to describe the exciton Mott quantum phase transition via the induced Josephson atomic current across the n magnetic bands.
Abdelrahman
A
A
Electron Science Research Institute, Edith Cowan University, 270 Joondalup Drive, Perth, WA 6027, Australia. a.abdelrahman@ecu.edu.au
Hannaford
P
P
Alameh
K
K
D003198:Computer Simulation; D004574:Electromagnetic Fields; D008280:Magnetics; D008962:Models, Theoretical; D009991:Oscillometry / Q000379:methods*; D012542:Scattering, Radiation