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TT: Fachverband Tiefe Temperaturen
TT 69: Nonequilibrium Quantum Systems II (joint session TT/DY)
TT 69.5: Talk
Thursday, March 21, 2024, 10:30–10:45, H 3025
Constructing nonequilibrium steady states from equilibrium correlation functions in generic nonintegrable systems — •Markus Kraft1, Jonas Richter2,3, Fengping Jin4, Sourav Nandy5, Zala Lenarčič5, Jacek Herbrych6, Kristel Michielsen4, Hans De Raedt7, Jochen Gemmer1, and Robin Steinigeweg1 — 1U Osnabrück — 2U Stanford — 3U Hannover — 4FZ Jülich — 5U Ljubljana — 6U Wroclaw — 7U Groningen
State-of-the-art approaches to extract transport coefficients of manybody quantum systems broadly fall into two categories: (i) they target the linear-response regime in terms of equilibrium correlation functions of the closed system; or (ii) they consider an open-system situation typically modeled by a Lindblad equation, where a nonequilibrium steady state emerges from driving the system at its boundaries. While quantitative agreement between (i) and (ii) has been found for selected model and parameter choices, also disagreement has been pointed out in the literature. Studying magnetization transport in the spin-1/2 XXZ chain, we here demonstrate that at weak driving the nonequilibrium steady state in an open system, including its buildup in time, can remarkably be constructed just on the basis of correlation functions in the closed system. We numerically illustrate this direct correspondence of closed-system and open-system dynamics.
[1] T. Heitmann et al., arXiv:2303.00430
[2] T. Heitmann et al., Phys. Rev. E 108 (2023) 024102
[3] M. Kraft et al., in preparation
Keywords: quantum transport; spin systems; correlation function; open systems; Lindblad equation