تقرير
Adaptive Time Stepping for a Two-Time Integro-Differential Equation in Non-Equilibrium Quantum Dynamics
| العنوان: | Adaptive Time Stepping for a Two-Time Integro-Differential Equation in Non-Equilibrium Quantum Dynamics |
|---|---|
| المؤلفون: | Blommel, Thomas, Gardner, David J., Woodward, Carol S., Gull, Emanuel |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter Nuclear Theory Physics (Other) Quantum Physics |
| مصطلحات موضوعية: | Physics - Computational Physics, Condensed Matter - Strongly Correlated Electrons, Nuclear Theory, Quantum Physics |
| الوصف: | The non-equilibrium Green's function gives access to one-body observables for quantum systems. Of particular interest are quantities such as density, currents, and absorption spectra which are important for interpreting experimental results in quantum transport and spectroscopy. We present an integration scheme for the Green's function's equations of motion, the Kadanoff-Baym equations (KBE), which is both adaptive in the time integrator step size and method order as well as the history integration order. We analyze the importance of solving the KBE self-consistently and show that adapting the order of history integral evaluation is important for obtaining accurate results. To examine the efficiency of our method, we compare runtimes to a state of the art fixed time step integrator for several test systems and show an order of magnitude speedup at similar levels of accuracy. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.08737 |
| رقم الأكسشن: | edsarx.2405.08737 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |