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Optics Communications

Squeezing and entanglement of a two-mode field in a four-level tripod atomic system

Jiandong Ding, Bang‐Pin Hou

Published Mar 16, 2011• 3 citations
Publisher
DOI
10.1016/j.optcom.2011.02.056

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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Oct 29, 2010•3 citations
Abstract Quadrature squeezing of a mesoscopic mechanical oscillator is investigated in a driven hybrid optomechanical system with a membrane-in-middle configuration containing a tripod-type four-level atom on either side of the membrane. We analyze in detail the influence of the coupling constant between cavity field and atom, amplitude of pump field, cavity pump detuning and Rabi frequency of classical field on the squeezing of the position quadrature of the vibrating membrane. The results show that the mechanical squeezing can be controlled by choosing the evolved parameters and initial state of atom, appropriately. Also, it is shown that a noticeable amount of squeezing can be obtained by increasing the amplitude of the classical pump field and therefore effective coupling constant. More over, we investigate that such a system can lead to a larger squeezing than the case with Λ-type three-level atom.
A new method of preparing a single photon in temporally delocalized entangled modes is proposed and analyzed. We show that in a medium of four-level atoms with tripod-level configuration a strong parametric interaction between two one-photon pulses emerges, if the medium was initially prepared in a coherent superposition of the two ground states, while a strong classical field drives the neighbor transition from the third ground state. The analytical solution of Maxwell equations reveals that under the electromagnetically induced transparency (EIT), the quantum fields propagate with significantly small absorption and with different group velocities that leads to their temporal split into well-separated pulses, the amplitudes of which are well controlled by the driving field. The proposed scheme can serve as a robust source of narrow-band one-photon qubits with an entanglement between two temporal modes, not sensitive to losses in atmosphere and in telecommunication waveguides. We show also that in our scheme a controllable degree of temporal entanglement can be achieved.