Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/43973
Title: Higher-order solutions to non-Markovian quantum dynamics via a hierarchical functional derivative
Authors: Luo, DW
Lam, CH 
Wu, LA
Yu, T
Lin, HQ
You, JQ
Issue Date: 2015
Publisher: American Physical Society
Source: Physical review. A, Atomic, molecular, and optical physics, 2015, v. 92, no. 2, 022119 How to cite?
Journal: Physical review. A, Atomic, molecular, and optical physics 
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.
URI: http://hdl.handle.net/10397/43973
ISSN: 1050-2947
EISSN: 1094-1622
DOI: 10.1103/PhysRevA.92.022119
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