تقرير
Benchmarking quantum master equations beyond ultraweak coupling
العنوان: | Benchmarking quantum master equations beyond ultraweak coupling |
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المؤلفون: | Breuer, C. S. Tello, Becker, T., Eckardt, A. |
سنة النشر: | 2024 |
المجموعة: | Condensed Matter Quantum Physics |
مصطلحات موضوعية: | Quantum Physics, Condensed Matter - Quantum Gases |
الوصف: | Recently, Nathan and Rudner derived a Gorini-Kossakowski-Sudarshan-Lindblad master equation from the Redfield equation. The claim is that the level of approximation is equal to that of the Redfield equation. Here we benchmark the Nathan-Rudner equation (NRE) against the exact solution of a damped harmonic oscillator and compare its performance to that of the time-dependent Redfield equation (RE). We find that which of the equations performs better depends on the regime considered. It turns out that the short-time dynamics is generally much better captured by the RE, whereas the NRE delivers results comparable to those of the rotating-wave approximation. For the steady state, in the high-temperature limit the RE again performs better and its solution approaches the exact result for ultrahigh temperatures. Nevertheless, here also the NR equation constitutes a good approximation. In the low-temperature limit, in turn, the NRE provides a better approximation than the RE. For too strong coupling, here the RE might even fail completely by predicting unphysical behaviour. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2403.08320 |
رقم الأكسشن: | edsarx.2403.08320 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |