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a Time evolution of a continuous-wave probe field at the exit of the medium n = 20/a under the variation of the relative phase /(s). b The relative phase /(s) versus time is a cosine-type wave ranged from 0 to p/2: /ðsÞ ¼ 0:25p cosð2pf sÞ þ 0:25p: Other parameters are X p ¼ 0:2c 31 ; X c ¼ 4c 31 ; X m ¼ 1:5c 31 ; f ¼ 0:05c 31 ; D p ¼ 0; D c ¼ 0; c 21 ¼ c 31 ; and c 23 dph = 0.01c 31 , respectively  

a Time evolution of a continuous-wave probe field at the exit of the medium n = 20/a under the variation of the relative phase /(s). b The relative phase /(s) versus time is a cosine-type wave ranged from 0 to p/2: /ðsÞ ¼ 0:25p cosð2pf sÞ þ 0:25p: Other parameters are X p ¼ 0:2c 31 ; X c ¼ 4c 31 ; X m ¼ 1:5c 31 ; f ¼ 0:05c 31 ; D p ¼ 0; D c ¼ 0; c 21 ¼ c 31 ; and c 23 dph = 0.01c 31 , respectively  

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We study phase-controlled absorption-gain and dynamic switching behaviors in a nanodiamond nitrogen-vacancy (NV) center. The NV center is driven coherently by a weak probe laser field, a control laser field and a microwave field. To describe the transient behavior of the system, we go beyond the steady-state approximation and simultaneously solve t...

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... Particularly in the atomic configuration of quantum loop schemes, the relative phase can modify dramatically the linear and nonlinear optical properties. This leads to some interesting phenomena, e.g., phase control of EIT [29,30], amplification without inversion [31], phasesensitive atom localization [32], giant Kerr nonlinearity associated with self-phase modulation and cross-phase modulation [6,[33][34][35], transient behavior [36,37], and optical switching and other phase-dependent coherent properties [38][39][40][41][42][43][44][45]. The studies show that the closed-loop configuration is phase-sensitive to quantum coherent controls. ...
... Thus, it delivers more control modes in optical switching. It is worth mentioning here that these works focused only on the stationary-state response of the medium, although the dynamical response is fundamental for the optical switching [35,42]. Growing from this interest, in this work we propose to use a closed-loop three-level lambda system excited by a pump and probe optical fields together with a microwave for the generation of optical switching. ...
... In the following, we solved the coupled Bloch-Maxwell equations (2a)-(2g) on a space-time grid by a combination of the four-order Runge-Kutta and finite difference methods for the initial condition at which all atoms are in the ground state |1〉, and for the boundary condition at which the initial probe field is a continuous wave (cw) at the entrance of the medium. We used the relative phase f(τ) to inform a nearly square wave with smooth rising and falling edges in four ranges: 0 to π/2, π/2 to π, π to 3π/2, and 3π/2 to 2π [42]: Here, a n =1, 2, 3, and 4, corresponding to the ranges 0-π/2, π/2-π, π-3π/2, and 3π/2-2π, respectively. Figure 3 shows a switching process of the probe field at ξ=50/α inside the medium, where the probe transmission is switched to a nearly square pulse train depending on the switching range of the relative phase. ...
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