Subradiant hybrid states in the open 3D Anderson-Dicke model

¹ Dipartimento di Matematica e Fisica, Università Cattolica - via Musei 41, I-25121 Brescia, Italy, EU
² Interdisciplinary Laboratories for Advanced Materials Physics - via Musei 41, I-25121 Brescia, Italy, EU
³ Istituto Nazionale di Fisica Nucleare, Sezione di Pavia - via Bassi 6, I-27100, Pavia, Italy, EU
⁴ Université de Nice Sophia Antipolis, CNRS, Institut Non - Linéaire de Nice, UMR 7335 Valbonne F-06560, France, EU

Received: 4 June 2013
Accepted: 4 September 2013

Abstract

Anderson localization is a paradigmatic coherence effect in disordered systems, often analyzed in the absence of dissipation. Here we consider the case of coherent dissipation, occurring for open system with coupling to a common decay channel. This dissipation induces cooperative Dicke super- and subradiance and an effective long-range hopping, expected to destroy Anderson localization. We are thus in the presence of two competing effects, i.e. localization driven by disorder and delocalization driven by dissipative opening. Here we demonstrate the existence of a subradiant hybrid regime, emerging from the interplay of opening and disorder, in which subradiant states are hybrid with both features of localized and extended states, while superradiant states are extended. We also provide analytical predictions for this regime, confirmed by numerical simulations.