My current interests are in the theory of exciton-polariton condensation, quantum simulation, and quantum computation. Topics I have examined since joining Yamamoto group include Mott transitions and the BCS-BEC crossover of exciton-polaritons, quantum
simulation using semiconductor quantum dot arrays, and the quantum simulation of lattice gauge theories. I am also interested in new quantum computational schemes, and have recently proposed a method of accelerating optimization problem searches using Bose-Einstein condensation.
Tim Byrnes, Tomoyuki Horikiri, Natsuko Ishida, Yoshihisa Yamamoto
Phys. Rev. Lett. 105 186402 Oct 2010 [Refereed]
The crossover between low and high density regimes of exciton-polariton
condensates is examined using a BCS wavefunction approach. Our approach is an
extension of the BEC-BCS crossover theory for excitons, but includes a cavity
photon field. The approach can describe both the low density limit, where the
system can be described as a Bose-Einstein condensate (BEC) of
exciton-polaritons, and the ...
We derive an effective Bose-Hubbard model that predicts a phase transition
from Bose-Einstein condensate to Mott insulator in two different systems
subject to applied periodic potentials: microcavity exciton-polaritons and
indirect excitons. Starting from a microscopic Hamiltonian of electrons and
holes, we derive an effective Bose-Hubbard model for both systems and evaluate
the on-site Coulomb...
