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: Contribution to journalArticlepeer-review

21 Scopus citations

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.

Original languageEnglish
Article number022119
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume92
Issue number2
DOIs
StatePublished - 24 Aug 2015

Fingerprint

Dive into the research topics of 'Higher-order solutions to non-Markovian quantum dynamics via a hierarchical functional derivative'. Together they form a unique fingerprint.

Cite this