Dynamics Of Single Photon Transport In A One-dimensional Waveguide Two-point Coupled With A Jaynes-cummings System

With the development of optical technology, a lot of photons information can be achieved by quantum devices, microcavity and one-dimensional waveguide play an important role in the quantum information, they are a foundation of quantum communications. One-dimensional waveguide coupled with Jaynes-cummings system have attracted plenty of pople’s attention. In the work, we explore dynamics of single-photon transport in a one-dimensional waveguide two-point coupled with a Jaynes-Cummings model and discuss its the possible applications.The transports of the single photon is described by the time-dependent dynamical equation set, derived from the real-space Hamiltonian of the system. The ultrafast Gaussian pulse was taken to show the transmission. The one-dimensional waveguide couple with the Jaynes-Cummings system to form hybridization states, whose energies periodically shift with the separation between the two coupling points.For both plane and pulse waves, the transmissivity also periodically depends on the separation between the two coupling points. When the width of the Gaussian pulse is about 20 times larger than the centre wavelength, the transmissivity approaches that of its centre plane wave. It is well-known that for the plane waves the forms of the reflected and transmitted waves are the same to that of the incident. However, for the pulses the forms of the reflected and transmitted waves, generally, are not the same to that of the incident. For the Gaussian pulses, the forms of the reflected and transmitted waves can be tailored into multi-peak forms by increasing the separation between the two coupling points. Similar results are also shown for the square wave input. As a result, we provide an effective method to adjust the single photon waveform in the ultrafast photonics.