تقرير
Comparing real-time coupled cluster methods through simulation of collective Rabi oscillations
| العنوان: | Comparing real-time coupled cluster methods through simulation of collective Rabi oscillations |
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| المؤلفون: | Skeidsvoll, Andreas S., Koch, Henrik |
| سنة النشر: | 2023 |
| المجموعة: | Physics (Other) |
| مصطلحات موضوعية: | Physics - Chemical Physics |
| الوصف: | The time-dependent equation-of-motion coupled cluster (TD-EOM-CC) and time-dependent coupled cluster (TDCC) methods are compared by simulating Rabi oscillations for different numbers of non-interacting atoms in a classical electromagnetic field. While the TD-EOM-CC simulations are numerically stable, the oscillating time-dependent energy scales unreasonably with the number of subsystems resonant with the field. The TDCC simulations give the correct scaling of the time-dependent energy in the initial stages of the Rabi cycle, but the numerical solution breaks down when the multi-atom system approaches complete population inversion. We present a general theoretical framework in which the two methods can be described, where the cluster amplitude time derivatives are taken as auxiliary conditions, leading to a shifted time-dependent Hamiltonian matrix. In this framework, TDCC has a shifted Hamiltonian with a block upper triangular structure, explaining the correct scaling properties of the method. Comment: 9 pages and 4 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevA.108.033116 |
| URL الوصول: | http://arxiv.org/abs/2301.05546 |
| رقم الأكسشن: | edsarx.2301.05546 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevA.108.033116 |
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