Controlling Decoherence in Open Quantum Systems: A Review of Colored Noise Strategies

Studies have demonstrated that the evolution of a system with exponential decay decoherence can be controlled through the rational design of external perturbed noise, such as colored noise, which is correlated with the noise intensity at the front and back moments 'cohen1991localization, myatt2000decoherence, ammann1998quantum, klappauf1998observation, oskay2003timing, paul2019nonmonotonic'. In contrast, white noise has zero correlation. The feasibility of colored noise schemes has been demonstrated in various experimental setups, including ion traps and cold atom experiments 'myatt2000decoherence, ammann1998quantum, klappauf1998observation, oskay2003timing'. Theoretical analyses have shown that unconventional timing noise, such as Levy noise 'shlesinger1993strange', can shift the decoherence in the kick rotor model from exponential decay to power-law decay, which has also been experimentally verified 'schomerus2008controlled, paul2019nonmonotonic, sarkar2017nonexponential'. However, most studies have focused on a single colored noise source, whereas in reality, systems are subject to multiple noise sources, each of which can induce colored noise.