Localization transition for light scattering by cold atoms in an external magnetic field

Abstract

We establish a localization phase diagram for light in a random three-dimensional (3D) ensemble of motionless two-level atoms with a three-fold degenerate upper level, in a strong static magnetic field. Localized modes appear in a narrow spectral band when the number density of atoms $\rho$ exceeds a critical value ${\rho }_c\simeq 0.1k_0^3$, where $k_0$ is the wave number of light in the free space. A critical exponent of the localization transition taking place upon varying the frequency of light at a constant $\rho >{\rho }_c$ is estimated to be $\nu =1.57\pm 0.07$. This classifies the transition as an Anderson localization transition of 3D orthogonal universality class.

5 pages, 3 figures + supplemental material

References in corpus (5)

• Anderson Transitions
• Cooperative effects and disorder: A scaling analysis of the spectrum of the effective atomic Hamiltonian
• Magnetic-field-driven localization of light in a cold-atom gas
• Eigenvalue distributions of large Euclidean random matrices for waves in random media
• Quantum Multiple Scattering

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