Quantum harmonic oscillators and thermalization

التفاصيل البيبلوغرافية
العنوان: Quantum harmonic oscillators and thermalization
المؤلفون: Kim, Hyeong-Chan, Lee, Youngone
سنة النشر: 2021
المجموعة: General Relativity and Quantum Cosmology
Quantum Physics
مصطلحات موضوعية: Quantum Physics, General Relativity and Quantum Cosmology
الوصف: We study a quantum harmonic oscillator undergoing thermalization. To describe the thermalization process, we generalize the Ermakov-Lewis-Riesenfeld (ELR) invariant method for the oscillator. After imposing appropriate conditions on the thermalization process, we introduce an ansatz equation that describes the time evolution effectively. We write down the first law for thermalization in the same form as that for ordinary thermodynamics. Here, the thermalization effect appears through a change of the ELR frequency. Finally, we obtain the oscillator's energy undergoing thermalization as a function of entropy and its time derivative.
Comment: Major revision required
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2110.05737
رقم الأكسشن: edsarx.2110.05737
قاعدة البيانات: arXiv