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Physical Review E

Irregular many-body dynamics of spinor Bose-Einstein condensates in an optical lattice

Guishu Chong, F. Borondo

Published Jul 2, 2008• 1 citation
Publisher

Abstract

The classical and quantum irregular spin dynamics of atomic spinor Bose-Einstein condensates in an optical lattice, where light-induced and static magnetic dipole-dipole interactions originate the interplay of the condensate at each site, are investigated. Classical-quantum correspondence in the large-spin limit is studied. Quantum chaotic features are studied through analysis of the irregular spectrum and time evolution of the Shannon entropy of wave packets. We show how the optical lattice strength influences the system dynamics, and is responsible for a transition from regular to irregular bahavior.

DOI
10.1103/physreve.78.016204

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This study investigates the emergence of chaotic dynamics in Bose-Einstein condensates (BECs) subjected to both alternating (AC) and constant (DC) components of the interaction strength, modeled through the scattering length. We systematically explore how the interplay of AC and DC nonlinearities affect the dynamical evolution of the condensate under a tilted optical lattice potential. Various types of chaos are identified across different parametric regimes, with numerical simulations revealing a clear distinction between regular and chaotic domains. The width of the regular domains is quantified, and the influence of AC and DC components in promoting stochastic behavior is highlighted. Lyapunov exponents, Poincaré sections, and other chaos indicators then confirm the transition to chaotic dynamics, in agreement with analytical expectations. A qualitative conjecture is proposed for the role of these interactions in BEC stabilization. Our findings offer insights into the dynamic control of BECs, with potential applications in quantum simulation and coherent matter-wave engineering, in line with entanglement and quantum transport, that are crucial for developing robust and reliable quantum technologies.
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A Bose Einstein Condensate (BEC) is an extraordinarily versatile state of matterthat allows for the simulation of quantum phenomena on the macroscopic scale. This powerful platform features rich physics such as superfluidity, quantum phase coherence, long range order, and spontaneous symmetry breaking. A spinor BEC, or a BEC with a spin degree of freedom, in particular is highly controllable as a quantum simulator, especially under the application of customizable optical lattices. In this thesis I present a study of spinor BECs in moving optical lattices. The results of this thesis open the way for the exploitation of not only quantum based properties of a BEC, but also the classical spatial dynamics inherit to the system for simulating many-body quantum spin dynamics with highly tunable, time-dependent interactions.
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