Benchmarking quantum master equations beyond ultraweak coupling

التفاصيل البيبلوغرافية
العنوان: Benchmarking quantum master equations beyond ultraweak coupling
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