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DY: Fachverband Dynamik und Statistische Physik

DY 43: Poster: Quantum Dynamics and Many-Body Systems

DY 43.19: Poster

Thursday, March 30, 2023, 13:00–16:00, P1

Exact time local equations of quantum dissipation with minimal state space — •Meng Xu¹, Vasilii Vadimov², Malte Krug¹, Jürgen T. Stockburger¹, and Joachim Ankerhold¹ — ¹Institute for Complex Quantum Systems and IQST, Ulm University — ²QCD Labs, QTF Centre of Excellence, Aalto University, Finland

We present a minimal state space approach to unravel the Feynman path integral influence functional for open quantum system dynamics. The resulting time local evolution equation for the density in minimally extended state space is exact and in combination with tensor network methods, can be very efficiently propagated with very high precision also for long times [1]. It is capable to treat the full non-Markovian dynamics, regardless of low temperature, structured reservoir, and strong system-bath coupling. On a formal level, its intriguing structure allows to demonstrate that the new equation is closely related to an entire family of representations (Lindblad-type, Fokker-Planck-type). Alternative perturbative and non-perturbative formulations of quantum dissipation can be derived from it, with our new approach being favorable through a comparably low dimension of auxiliary dimensions. With the new platform at hand, lab-based high-precision simulations in parallel to actual experiments with, for example, superconducting qubits are within reach.

[1] M. Xu et al., Phys. Rev. Lett. 129, 230601 (2022).