Effective time-dependent temperature for fermionic master equations beyond the Markov and the secular approximations

• URL: http://arxiv.org/abs/2403.10591v1
• Date: Fri, 15 Mar 2024 17:53:04 GMT
• Title: Effective time-dependent temperature for fermionic master equations beyond the Markov and the secular approximations
• Authors: Lukas Litzba, Eric Kleinherbers, Jürgen König, Ralf Schützhold, Nikodem Szpak,
• Abstract summary: We consider a quantum system coupled to environment at a fixed temperature. We describe the reduced evolution of the system by means of a Redfield equation with effective time-dependent contact temperature obeying a universal law.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We consider a quantum system coupled to environment at a fixed temperature and describe the reduced evolution of the system by means of a Redfield equation with effective time-dependent contact temperature obeying a universal law. At early times, after the system and environment start in a product state, the effective contact temperature appears to be much higher, yet eventually it settles down towards the true environment value. In this way, we obtain a method which includes non-Markovian effects and can be further applied to various types of GKSL equations, beyond the secular approximation and time-averaging methods. We derive the theory from first principles and discuss its application using a simple example of a single quantum dot.

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