Berlin 2024 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 35: Poster: Quantum Dynamics and Many-body Systems
DY 35.11: Poster
Mittwoch, 20. März 2024, 15:00–18:00, Poster D
Disorder-Averaged Effective Time Evolution — •Mirco Erpelding1, Adrian Braemer1, and Martin Gärttner1,2 — 1Physikalisches Institut, Universität Heidelberg, Im Neuenheimer Feld 226, 69120 Heidelberg, Germany — 2Institute of Condensed Matter Theory and Optics, Friedrich-Schiller-University Jena, Max-Wien-Platz 1, 07743 Jena, Germany
In his seminal work, Anderson demonstrated that a disordered quantum system may localize, i.e. escape thermalization, thereby initiating a whole new area of research. More recently, localization has also been studied for quantum many-body systems. Here information is usually gathered via the exact solution of many disorder realizations making the studies computationally very expensive. In this work, we approach this challenge by taking the disorder average first and explore what can be learned from the resulting effective description. Often additional symmetries arise in the average picture: For example while disorder typically breaks spatial symmetries within each shot, most of the time every site/spin experiences the same disorder distribution restoring the symmetry in the averaged time-evolution.
Concretely, we derive an effective Lindbladian for disordered Ising models with independent couplings, such as the Sherrington-Kirkpatrick model. Subsequently, we compare our findings to interacting models sharing the same effective symmetries, aiming for a simplified description.
Keywords: Localization; Disorder; Spin Systems