Excited states of exciton-polariton condensates in 2D and 1D harmonic traps

Abstract

We present a theoretical description of Bogolyubov-type excitations of exciton-polariton Bose-Einstein condensates (BECs) in semiconductor microcavities. For a typical two dimensional (2D) BEC we focus on two limiting cases, the weak- and strong-coupling regimes, where a perturbation theory and the Thomas-Fermi approximation, respectively, are valid. We calculate integrated scattering intensity spectra for probing the collective excitations of the condensate in both considered limits. Moreover, in relation to recent experiments on optical modulation allowing localization of condensates in a trap with well controlled shape and dimensions, we study the quasi-one dimensional (1D) motion of the BEC in microwires and report the corresponding Bogolyubov's excitation spectrum. We show that in 1D case the characteristic polariton-polariton interaction constant is expressed as $g_1=3\lambda \mathcal{N}/(2L_y)$ ($\lambda$ is the 2D polariton-polaritons interaction parameter in the cavity, $\mathcal{N}$ the number of the particles, and $L_y$ the wirecavity width). We reveal some interesting features for 2D and 1D Bogolyubov spectra for both repulsive $(\lambda >0)$ and attractive $(\lambda <0)$ interaction.

arXiv comment12 pages, 6 figures

References in corpus (17)

• Collective excitations of a trapped Bose-condensed gas
• Quantum-fluid dynamics of microcavity polaritons
• Spontaneous formation and optical manipulation of extended polariton condensates
• Observation of Half Quantum Vortices in an Exciton-Polariton Condensate
• Persistent currents and quantised vortices in a polariton superfluid
• Collective excitations of atomic Bose-Einstein condensates
• Dynamics of dark solitons in elongated Bose-Einstein condensates
• Sculpting oscillators with light within a nonlinear quantum fluid
• Deviation from one-dimensionality in stationary properties and collisional dynamics of matter-wave solitons
• Energy Relaxation in a 1-D Polariton Condensate
• Light Engineering of the Polariton Landscape in Semiconductor Microcavities
• Kohn's Theorem, Larmor's Equivalence Principle and the Newton-Hooke Group
• One-dimension cubic-quintic Gross-Pitaevskii equation in Bose-Einstein condensates in a trap potential
• Spectrum and thermal fluctuations of a microcavity polariton Bose-Einstein condensate
• Collective Excitations, Nambu-Goldstone Modes and Instability of Inhomogeneous Polariton Condensates
• Bose-Einstein condensation in an optical lattice: A perturbation approach
• Superfluidity and collective oscillations of trapped Bose-Einstein condensates in a periodical potential

Cited by in corpus (3)

• Exciton-Polariton Trapping and Potential Landscape Engineering
• Spin-orbit coupling and nonlinear modes of the polariton condensate in a harmonic trap
• Coherent population oscillations and an effective spin-exchange interaction in a $\mathcal{P}\mathcal{T}$ symmetric polariton mixture