Green's functions from real-time bold-line Monte Carlo
نویسندگان
چکیده
منابع مشابه
Iterative Monte Carlo formulation of real-time correlation functions.
We present an iterative Monte Carlo path integral methodology for evaluating thermally averaged real-time correlation functions. Standard path integral Monte Carlo methods are used to sample paths along the imaginary time contour. Propagation of the density matrix is performed iteratively on a grid composed of the end points of the sampled paths. Minimally oscillatory propagators are constructe...
متن کاملDirect Monte Carlo evaluation of real-time quantum correlation functions using single-step propagators
Using single-step approximations to the propagator, we show that real-time correlation functions can be expressed as integrals of smooth functions, and thus can be efficiently evaluated by Monte Carlo methods. This approach allows direct calculation of correlation functions at intermediate temperatures over short to intermediate time lengths. 2008 Elsevier B.V. All rights reserved.
متن کاملPath Integral Monte Carlo Methods: Static- and Time-Correlation Functions
Supported by grants from NSF and NIH. The work reported here was partially supported by a grant of supercomputer time on the University of Minnesota Cray 1 by the OASC of NSF. 1 Department of Chemistry, Columbia University, New York, N.Y. 10027. 2 For simplicity we discuss particle motion in one dimension. These expressions are easily generalized. Because many questions still remain about the f...
متن کاملMonte-Carlo Planning for Pathfinding in Real-Time Strategy Games
In this work, we explore two Monte-Carlo planning approaches: Upper Confidence Tree (UCT) and Rapidlyexploring Random Tree (RRT). These Monte-Carlo planning approaches are applied in a real-time strategy game for solving the path finding problem. The planners are evaluated using a grid-based representation of our game world. The results show that the UCT planner solves the path planning problem...
متن کاملMonte Carlo techniques for real-time quantum dynamics
The stochastic-gauge representation is a method of mapping the equation of motion for the quantum mechanical density operator onto a set of equivalent stochastic differential equations. One of the stochastic variables is termed the “weight”, and its magnitude is related to the importance of the stochastic trajectory. We investigate the use of Monte Carlo algorithms to improve the sampling of th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review B
سال: 2014
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.89.115139