Optimizing the functionalities of a code for real time dynamics of finite systems
(2018) FYSK02 20181Mathematical 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:
http://lup.lub.lu.se/student-papers/record/8960218
- author
- Mahfoud, Yasser LU
- supervisor
- organization
- course
- FYSK02 20181
- year
- 2018
- 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}}, }