Stochastic Unravelling of Open Quantum System Dynamics Governed by Correlated Noise
Stochastic approaches, such as the use of Stochastic Schrödinger Equations (SSE) and the stochastic Hamiltonian, are well-known methods to describe the dynamics of open quantum systems. Usually, they can be used as an unravelling scheme of associated Quantum Master Equations (QME), and from the perspective of quantum computing, one can exploit unitary unravellings to implement contractive mappings into unitary-gate-based architectures. On the other hand, they may also be exploited as a starting point to write new QMEs and describe different dynamics. Understanding non-conventional noise effects can help us design environments with desired qualities and control strategies to induce specific behaviors. Here, I present the effect of different colored stochastic potentials on the dynamics of a two-level system, e.g. the states of a qubit system or two local sites in a transfer problem. First, we will derive the SSEs governing the trajectories' dynamics and the related quantum master equations. Then, we will shed light on how different dissipative terms of a generic QME arise depending on the nature of the stochastic potential involved, and their effect on the short and long time evolution of the system. Finally, we rationalize the emergence of the different terms in terms of the time- and frequency-dependent coefficients Redfield QME, and clarify how colored noise impacts the coherence relaxation time scales.
This Talk will be broadcasted in the following zoom link: https://us06web.zoom.us/j/89027654460?pwd=Wg9TYMPqqP2ipfj2JVvEagmzaTw29c.1
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