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

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

Research output: Journal article publicationJournal articleAcademic researchpeer-review

15 Citations (Scopus)


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.
Original languageEnglish
Article number022119
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number2
Publication statusPublished - 24 Aug 2015

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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