Negatively coupled photon Bose-Einstein condensates

An alternative approach to solving computationally hard problems is to use a physical system of coupled Bose-Einstein condensates (BEC). The problem of finding its ground state can be mapped in polynomial time to any problem of the NP-Complete class. Photonic BECs (pBECs) can thermalize to the ground state in a fraction of a nanosecond and then be interfered to extract their relative phases. They are then interpreted as a solution to the mapped problem. In our system we use two highly reflective Bragg mirrors as a cavity, a dye as a thermalizing medium, and a green laser as a photon source. By nanostructuring one of the mirrors, transverse confinement of pBEC is achieved. I will present our latest results on coupled condensate system with frustration, such as a negatively coupled triangular structure of pBECs.