2020/12/31 by Tobias Becker, Ling-Na Wu, André Eckardt
Computer Science · Mathematics · Physics and Astronomy · #Classical mechanics #Coupling (piping) #Markov process #Master equation #Mathematics #Non-equilibrium thermodynamics #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical physics #cond-mat.quant-gas #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreve.104.014110
published as Phys. Rev. E 104, 014110 (2021)
arxiv created 2021/06/10 · openalex publication_date 2021/07/12 · arxiv updated 2021/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Away from equilibrium, the properties of open quantum systems depend on the details of their environment. A microscopic derivation of a master equation (ME) is therefore crucial. Of particular interest are Lindblad-type equations, not only because they provide the most general class of Markovian MEs, but also since they are the starting point for efficient quantum trajectory simulations. Lindblad-type MEs are commonly derived from the Born-Markov-Redfield equation via a rotating-wave approximation (RWA). However the RWA is valid only for ultraweak system-bath coupling and often fails to accurately describe nonequilibrium processes. Here we derive an alternative Lindbladian approximation to the Redfield equation, which does not rely on ultraweak system-bath coupling. Applying it to an extended Hubbard model coupled to Ohmic baths, we show that, especially away from equilibrium, it provides a good approximation in large parameter regimes where the RWA fails.