Collectively induced many-vortices topology via rotatory Dicke quantum phase transition

Abstract

We examine the superradiance of a Bose-Einstein condensate pumped with a Laguerre-Gaussian laser of high winding number, e.g., $\ell =7$. The laser beam transfers its orbital angular momentum (OAM) to the condensate at once due to the collectivity of the superradiance. An $\ell$-fold rotational symmetric structure emerges with the take place of rotatory superradiance. $\ell$ number of single-charge vortices appear at the arms of this structure. Even though the pump and the condensate profiles initially have cylindrical symmetry, we observe that it is broken to $\ell$-fold rotational symmetry during the superradiance. Breaking of the cylindrical symmetry into the $\ell$-fold symmetry and OAM transfer to the BEC become possible after the same critical pump strength. Reorganization of the condensate resembles the ordering in the experiment by Esslinger and colleagues [Nature, {\bf 264}, 1301 (2010)]. We show that the critical point for the onset of the reorganization follows the form of the Dicke quantum phase transition.

7 pages, 8 figures

References in corpus (6)

• Quantized Rotation of Atoms From Photons with Orbital Angular Momentum
• Emergent superfluid crystals, frustration, and topologically defected states in multimode cavity QED
• Self-organization of a Bose-Einstein condensate in an optical cavity
• Collapses and revivals of stored orbital angular momentum of light in a cold atomic ensemble
• Interaction of atom with non-paraxial Laguerre-Gaussian beam:Forming superposition of vortex states in Bose-Einstein condensates
• Quantum dynamics of Raman-coupled Bose-Einstein condensates using Laguerre-Gaussian beams

Cited by in corpus (5)

• Many-particle entanglement criterion for superradiant-like states
• Chapter: Vulnerability of Quantum Information Systems to Collective Manipulation
• Superradiant transfer of quantized orbital angular momentum between light and atoms in a ring trap
• Formation of Solitonic Bound State via Light-Matter Interaction
• Superradiant atomic recoil lasing with orbital angular momentum light