Bonn 2025 – scientific programme

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QI: Fachverband Quanteninformation

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

QI 36.11: Poster

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

Efficient simulation of microscopic master equations using tensor product states — •Junyi Zhang, André Eckardt, and Alexander Schnell — Technische Universität Berlin

In this work, we address the efficient simulation of global master equations by mapping them to local form. We utilize a novel local Redfield master equation in Lindblad form [1]. By leveraging tensor network methods and quantum trajectory algorithms, we describe steady states and explore transport in boundary-driven systems. Through characterization of the current, we examine how interactions and external fields influence transport properties of an XXZ spin chain in presence of finite-temperature reservoirs. This provides insights into dissipative dynamics in quantum many-body systems. This approach offers a computationally feasible alternative for analyzing large Hilbert spaces without full density matrix propagation, allowing us to extend the applicability of rigoriusly derived master equations in complex quantum systems.

[1] A. Schnell, arXiv:2309.07105 (2023)

Keywords: Nonequilibrium boundary-driven quantum systems; Open Quantum system; Quantum transport; Tensor network methods; Quantum trajectories