Universal Dynamical Control of Open Quantum Systems

Figure 5

Spectral representation of the bath coupling, 𝐺(𝜔), and the modulation, 𝐹_𝑡(𝜔). (a) General quasi-periodic modulation, with peaks at 𝜔_𝑘. (b) On-off modulation, with 1/𝜏₁ repetition rate for 𝜏₁≪𝜏₀. (c) Impulsive phase modulation, (𝜋-pulses), 𝜙=𝜋. (d) Monochromatic modulation, or impulsive phase modulation, with small phase shifts, 𝜙≪1, and 1/𝜏 repetition rate.

(a)

(b)

(c)

(d)