Unique signatures for Bose-Einstein condensation in the decay luminescence lineshape of weakly interacting excitons in a potential trap

Abstract

We calculate the spatially resolved optical emission spectrum of a weakly interacting Bose gas of excitons confined in a three dimensional potential trap due to interband transitions involving weak direct and phonon mediated exciton-photon interactions. Applying the local density approximation, we show that for a non-condensed system the spatio-spectral lineshape of the direct process reflects directly the shape of the potential. The existence of a Bose-Einstein condensate changes the spectrum in a characteristic way so that it directly reflects the constant chemical potential of the excitons and the renormalization of the quasiparticle excitation spectrum. Typical examples are given for parameters of the lowest yellow excitons in cuprous oxide.

5 pages, 2 figures

References in corpus (2)

• Finite Temperature Models of Bose-Einstein Condensation
• Bose condensates in a harmonic trap near the critical temperature

Cited by in corpus (9)

• Bose-Einstein Condensation of Excitons in Cu${}_2$O: Progress Over Thirty Years
• Transition to a Bose-Einstein condensate of excitons at sub-Kelvin temperatures
• Condensation of Excitons in Cu2O at Ultracold Temperatures: Experiment and Theory
• Numerical time propagation of quantum systems in radiation fields
• Ground-state and spectral signatures of cavity exciton-polariton condensates
• Interacting multi-component exciton gases in a potential trap: phase separation and Bose-Einstein condensation
• Variational discrete variable representation for excitons on a lattice
• Multicomponent exciton gas in cuprous oxide: cooling behaviour and the role of Auger decay
• BCS-BEC crossover of polaritonic condensates in mass-imbalanced semimetal/semiconductor microcavities