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QI: Fachverband Quanteninformation

QI 36: Poster – Quantum Information (joint session QI/Q)

QI 36.26: Poster

Thursday, March 13, 2025, 17:00–19:00, Tent

Thermodynamic Consistency of Markovian Embeddings of Open Quantum Systems — •Shreesha S. Hegde, Adrian Romer, and Christiane P. Koch — Freie Universität Berlin, Berlin, Germany

The Surrogate Hamiltonian is an approximation method used to simulate open quantum systems [1]. Here, an infinite bath is represented by a surrogate bath made up of a finite number of two-level systems that strongly interact with the system we are interested in. This is then simulated as a closed system. As expected, this model works only for short simulation times before recurrences are seen in the system due to the unitary evolution of the system and the surrogate bath.

The Stochastic Surrogate Hamiltonian is a Markovian embedding technique that improves on this greatly by implementing a stochastic reset of the surrogate modes to their original thermal state. This is done as a way of mimicking the steady thermal state in an infinite bath and allows for extended simulation times [2]. However, implementing this scheme under conditions that are consistent with thermodynamics can be computationally expensive. We aim to achieve an approximate realization of these conditions under which we can still attain a thermodynamically consistent steady state on the system.

[1] Baer et al., J. Chem. Phys. 106, 8862 (1997)

[2] Katz et al., J. Chem. Phys. 129, 034108 (2008)

Keywords: Open Quantum Systems; Lindblad Master Equations; Markovian Master Equations; Markovian Embeddings; Quantum Thermodynamics