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Optimizing the functionalities of a code for real time dynamics of finite systems

Mahfoud, Yasser LU (2018) FYSK02 20181
Mathematical Physics
Department of Physics
Abstract
The many-body problem in quantum mechanics always presents new challenges and ways to discover new properties of existing materials. The difficulty (if not the impossibility) to solve the many-body problem analytically makes the numerical methods an appealing approach. Here we consider a Python code, which is under development to become an open-source tool to perform studies of finite lattice systems in- and out-of-equilibrium. The code already includes many features, such as studying the dynamical properties of a system using Lanczos adapted time evolution method, temperature-dependent expectation values and groundstate calculations and Optimal control. To expand this code's applicability to a wider range of problems, we added two new... (More)
The many-body problem in quantum mechanics always presents new challenges and ways to discover new properties of existing materials. The difficulty (if not the impossibility) to solve the many-body problem analytically makes the numerical methods an appealing approach. Here we consider a Python code, which is under development to become an open-source tool to perform studies of finite lattice systems in- and out-of-equilibrium. The code already includes many features, such as studying the dynamical properties of a system using Lanczos adapted time evolution method, temperature-dependent expectation values and groundstate calculations and Optimal control. To expand this code's applicability to a wider range of problems, we added two new functions in the linear sector, they are responsible for computing the density-density response function in the frequency and the time domain. The two new functions were used to study three different clusters with a specific perturbation. We have also created a booklet enriched with worked out examples and details to guide the user through the installation and running process. (Less)
Please use this url to cite or link to this publication:
author
Mahfoud, Yasser LU
supervisor
organization
course
FYSK02 20181
year
type
M2 - Bachelor Degree
subject
language
English
id
8960218
date added to LUP
2018-10-15 13:04:18
date last changed
2018-10-15 13:04:27
@misc{8960218,
  abstract     = {{The many-body problem in quantum mechanics always presents new challenges and ways to discover new properties of existing materials. The difficulty (if not the impossibility) to solve the many-body problem analytically makes the numerical methods an appealing approach. Here we consider a Python code, which is under development to become an open-source tool to perform studies of finite lattice systems in- and out-of-equilibrium. The code already includes many features, such as studying the dynamical properties of a system using Lanczos adapted time evolution method, temperature-dependent expectation values and groundstate calculations and Optimal control. To expand this code's applicability to a wider range of problems, we added two new functions in the linear sector, they are responsible for computing the density-density response function in the frequency and the time domain. The two new functions were used to study three different clusters with a specific perturbation. We have also created a booklet enriched with worked out examples and details to guide the user through the installation and running process.}},
  author       = {{Mahfoud, Yasser}},
  language     = {{eng}},
  note         = {{Student Paper}},
  title        = {{Optimizing the functionalities of a code for real time dynamics of finite systems}},
  year         = {{2018}},
}