Quantum random walk of the field in an externally driven cavity
Abstract
Using a resonant interaction between atoms and the field in a high-quality cavity, we show how to realize quantum random walks as proposed by Aharonov et al. [Phys. Rev. A 48, 1687 (1993)]. The atoms are driven strongly by a classical field. Under conditions of strong driving we could realize an effective interaction of the form iS^x(a-a^+) in terms of the spin operator associated with the two-level atom and the field operators. This effective interaction generates displacement in the field's wave function depending on the state of the two-level atom. Measurements of the state of the two-level atom would then generate an effective state of the field. Using a homodyne technique, the state of the quantum random walker can be monitored.
Citation
Agarwal, G. S., & Pathak, P. K. (2005). Quantum random walk of the field in an externally driven cavity. Physical Review A, 72(3), Article 033815. https://doi.org/10.1103/PhysRevA.72.033815