Open AccessMaximum a posteriori path for open quantum systems
Author(s) -
Tanawut Noungneaw,
Sujin Suwanna,
Areeya Chantasri
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1719/1/012101
Subject(s) - quantum , path (computing) , path integral formulation , a priori and a posteriori , trajectory , stochastic differential equation , work (physics) , mathematics , statistical physics , classical mechanics , physics , quantum mechanics , computer science , philosophy , epistemology , programming language
In this work, the Stratonovich stochastic differential equation is considered in the derivation of the maximum a posteriori path (MAP) for an open quantum system. We have derived the modified Onsager-Machlup (OM) function for a stochastic process, which plays an analogous role of the Lagrangian in the conventional classical mechanics. Variational method is applied to obtain the Euler-Lagrange equations. We show that the MAP trajectory is close to the quantum most-likely path obtained by Chantasri et al. [1], but in general not exactly the same. For an open quantum system subject to a no-knowledge measurement, both methods produce the same most-likely path. Numerical simulations for both the modified OM and the quantum most-likely path methods agree very well with theoretical predictions, regardless of the evolution time and different post-selected states.