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arXiv · 1501.06289

Higher-order solutions to non-Markovian quantum dynamics via hierarchical functional derivative

Da-Wei Luo·Chi-Hang Lam·Lian-Ao Wu·Ting Yu·Hai-Qing Lin·J. Q. You
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Abstract

Solving realistic quantum systems coupled to an environment is a challenging task. Here we develop a hierarchical functional derivative (HFD) approach for efficiently solving the non-Markovian quantum trajectories of an open quantum system embedded in a bosonic bath. An explicit expression for arbitrary order HFD equation is derived systematically. Moreover, it is found that for an analytically solvable model, this hierarchical equation naturally terminates at a given order and thus becomes exactly solvable. This HFD approach provides a systematic method to study the non-Markovian quantum dynamics of an open system coupled to a bosonic environment.

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Da-Wei Luo, Chi-Hang Lam, Lian-Ao Wu, Ting Yu, Hai-Qing Lin, J. Q. You. 2015-09-08. Higher-order solutions to non-Markovian quantum dynamics via hierarchical functional derivative. https://doi.org/10.1103/physreva.92.022119

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