Related papers: Phase Diagram and dynamical phases of self organization of a Bose--Einstein condensate in a transversely pumped red-detuned cavity

Phase Diagram and dynamical phases of self organization of a Bose--Einstein condensate in a transversely pumped red-detuned cavity

URL: http://arxiv.org/abs/2509.03445v1
Date: Wed, 03 Sep 2025 16:12:49 GMT
Title: Phase Diagram and dynamical phases of self organization of a Bose--Einstein condensate in a transversely pumped red-detuned cavity
Authors: Julian Mayr, Maria Laura Staffini, Simon B. Jäger, Corinna Kollath, Jonathan Keeling,
Abstract summary: We study a transversely pumped atomic Bose-Einstein Condensate coupled to a single-mode optical cavity.<n>Experiments and theoretical works have shown the formation of a superradiant state in this setup.<n>We perform a full mean-field analysis of the system, including all relevant atomic momentum states and the cavity field.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We study a transversely pumped atomic Bose--Einstein Condensate coupled to a single-mode optical cavity, where effective atom--atom interactions are mediated by pump and cavity photons. A number of experiments and theoretical works have shown the formation of a superradiant state in this setup, where interference of pump and cavity light leads to an optical lattice in which atoms self-consistently organize. This self-organization has been extensively studied using the approximate Dicke model (truncating to two momentum states), as well as through numerical Gross--Pitaevskii simulations in one and two dimensions. Here, we perform a full mean-field analysis of the system, including all relevant atomic momentum states and the cavity field. We map out the steady-state phase diagram vs pump strength and cavity detuning, and provide an in-depth understanding of the instabilities that are linked to the emergence of spatio-temporal patterns. We find and describe parameter regimes where mean-field predicts bistability, regimes where the dynamics form chaotic trajectories, instabilities caused by resonances between normal mode excitations, and states with atomic dynamics but vanishing cavity field.

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