Related papers: Variational approach to open quantum systems with long-range competing interactions

Variational approach to open quantum systems with long-range competing interactions

URL: http://arxiv.org/abs/2510.01543v1
Date: Thu, 02 Oct 2025 00:29:00 GMT
Title: Variational approach to open quantum systems with long-range competing interactions
Authors: Dawid A. Hryniuk, Marzena H. Szymańska,
Abstract summary: We introduce an efficient and scalable approach to dissipative quantum lattices in one and two dimensions.<n>We showcase the versatility, effectiveness, and unique methodological advantages of our algorithm by simulating the non-equilibrium dynamics and steady states of spin-$frac12$ lattices.<n>This approach offers promising prospects for advancing our understanding of the complex non-equilibrium properties of a diverse variety of experimentally-realizable quantum systems with long-ranged interactions.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: Competition between short- and long-range interactions underpins many emergent phenomena in nature. Despite rapid progress in their experimental control, computational methods capable of accurately simulating open quantum many-body systems with complex long-ranged interactions at scale remain scarce. Here, we address this limitation by introducing an efficient and scalable approach to dissipative quantum lattices in one and two dimensions, combining matrix product operators and time-dependent variational Monte Carlo. We showcase the versatility, effectiveness, and unique methodological advantages of our algorithm by simulating the non-equilibrium dynamics and steady states of spin-$\frac{1}{2}$ lattices with competing algebraically-decaying interactions for as many as $N=200$ sites, revealing the emergence of spatially-modulated magnetic order far from equilibrium. This approach offers promising prospects for advancing our understanding of the complex non-equilibrium properties of a diverse variety of experimentally-realizable quantum systems with long-ranged interactions, including Rydberg atoms, ultracold dipolar molecules, and trapped ions.

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