Figure 1.
Time evolution of the concurrence for maximally entangled initial state |Φ+〉 when the included decoherence is spontaneous emission (left panel) and when the included decoherence is dephasing (right panel). The effect of control Hamiltonian is shown.
Figure 2.
Time evolution of the concurrence for the initial state |ψ〉 when the included decoherence is spontaneous emission (left panel) and when the included decoherence is dephasing (right panel). The effect of the control Hamiltonian is shown and compared when there is no control Hamiltonian.
Table 1.
The optimized control parameters for decoherence type being spontaneous emission or dephasing. The initial state is a superposition of product and entangled states.
| A1 | A2 | A3 | ω1 | ω2 | ω3 | |
|---|---|---|---|---|---|---|
| γ ≠ 0 (spontaneous emission) | 0.362 | 0.714 | –0.130 | 13.416 | 5.675 | 5.456 |
| γϕ ≠ 0 (dephasing) | –1.244 | 0.270 | 1.079 | 19.642 | 16.755 | 0.508 |
Figure 3.
Time evolution of the concurrence for the initially prepared mixed state is defined as equal mixture of |Φ+〉 and |ii〉, where |ii〉 = |11〉, |00〉. In the top panel the included decoherence is spontaneous emission and in the bottom panel the included decoherence is dephasing. The effect of control Hamiltonian is shown for comparison.