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Springer eBooks

Spatio-Temporal Chaos in Time Evolution of BEC with Attractive Two-Body Interactions

A. Gammal, Victo S. Filho, Lauro Tomio, T. Frederico

Published Jan 1, 2001• 0 citations
Publisher
DOI
10.1007/978-94-010-0542-5_6

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Chaos is an important characterization of classical dynamical systems. How is chaos linked to the long-time dynamics of collective modes across phases and phase transitions? We address this by studying chaos across Ising and Kosterlitz-Thouless transitions in classical XXZ model. We show that spatio-temporal chaotic properties have crossovers across the transitions and distinct temperature dependence in the high and low-temperature phases which show normal and anomalous diffusions, respectively. Our results also provide new insights into the dynamics of interacting quantum systems in the semiclassical limit.
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