A recent analysis by graduate student Brian Seaman, research associate Meret Krämer, and Fellows Dana Anderson and Murray Holland describes the operation of atomtronics batteries, circuits, diodes, and transistors. These devices are based on strongly interacting ultracold Bose atomic gases in lattices. The researchers show how the behavior of ultracold atoms in such systems is analogous to that of electrons in a doped semiconductor. Their study lays the theoretical groundwork for more advanced atomtronics devices, including amplifiers, oscillators, and logic gates.
Atomtronics devices use atom analogs of currents, batteries, and resistors. Atom flux, or current, plays the role of electric current. Atom currents appear when atoms can flow from a high-density region to a lower-density region. The difference in atom density creates a chemical potential, analogous to the electrical potential created inside a battery. If two optical lattices are connected by a waveguide, this “wire” will allow atoms to flow from a lattice with lots of atoms to another that contains just a few atoms. In this way, the optical lattices connected by a waveguide function as a “battery,” as shown in the illustration below.
In atomtronics circuits, increasing the height of an optical lattice will slow atom currents, as a resistor does in an electronic circuit. However, higher lattices don’t dissipate heat and cause power loss as do resistors. In addition, precisely adjusting the height of adjacent optical lattices and changing the number of atoms in the lattices can create a “diode,” which allows current flow in only one direction. Such atomtronics diodes are analogous to semiconductor diodes created by ajoining N-type and P-type semiconductors.
Similarly, atomtronics transistors can be created by aligning two diodes back to back to control a large current flow with a small current. However, in atomtronics, such an arrangement creates a large negative gain, which is the opposite of what happens in electronics transistors. This difference may require an adjustment in design to replicate electronic circuitry. Even so, the new theory of atomtronics transistors is particularly significant as it opens the door to the implementation of an atom amplifier in the near future.

Atomtronics "Battery"
Credit: Brian Seaman
Reference:
B. T. Seaman, M. Krämer, D. Z. Anderson, and M. J. Holland, Physical Review A 75, 023615 (2007).