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Exciton-polariton Bose-Einstein condensation

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TLDR
In this article, the authors reviewed recent experiments and corresponding theoretical pictures based on the Gross-Pitaevskii equations and the Boltzmann kinetic simulations for a finite-size BEC of polaritons.
Abstract
In the past decade, a two-dimensional matter-light system called the microcavity exciton-polariton has emerged as a new promising candidate of Bose-Einstein condensation BEC in solids. Many pieces of important evidence of polariton BEC have been established recently in GaAs and CdTe microcavities at the liquid helium temperature, opening a door to rich many-body physics inaccessible in experiments before. Technological progress also made polariton BEC at room temperatures promising. In parallel with experimental progresses, theoretical frameworks and numerical simulations are developed, and our understanding of the system has greatly advanced. In this article, recent experiments and corresponding theoretical pictures based on the Gross-Pitaevskii equations and the Boltzmann kinetic simulations for a finite-size BEC of polaritons are reviewed.

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Dynamics of defect-induced dark solitons in an exciton-polariton condensate

TL;DR: In this article, the emission of dark solitons induced by a moving defect in a nonresonantly pumped exciton-polariton condensate was investigated and an analytical expression for dark soliton dynamics using the variational method adapted to the non-equilibrium polariton system was derived.
Journal ArticleDOI

Pump-and-probe optical transmission phase shift as a quantitative probe of the Bogoliubov dispersion relation in a nonlinear channel waveguide

TL;DR: In this paper, the dispersion relation of small-amplitude optical waves superimposing upon a beam of polarized monochromatic light propagating along a single-mode channel waveguide characterized by an instantaneous and spatially local Kerr nonlinearity is investigated.
Journal ArticleDOI

Engineering photonic environments for two-dimensional materials

TL;DR: In this article, the authors review the three degrees of freedom of this interaction: weak coupling, strong coupling, and multi-functionality, and review a relatively timing concept of engineering that directly applied to the 2D materials by patterning.
Journal ArticleDOI

Quantum fluctuations in a strongly interacting Bardeen-Cooper-Schrieffer polariton condensate at thermal equilibrium

TL;DR: In this article, the role of quantum fluctuations in an exciton-polariton condensate at thermal equilibrium and determine the number of different types of carriers at the crossover beyond mean field.
References
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Journal ArticleDOI

Ordering, metastability and phase transitions in two-dimensional systems

TL;DR: In this article, a new definition of order called topological order is proposed for two-dimensional systems in which no long-range order of the conventional type exists, and the possibility of a phase transition characterized by a change in the response of the system to an external perturbation is discussed in the context of a mean field type of approximation.
Journal ArticleDOI

Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models

TL;DR: In this paper, it is rigorously proved that at any nonzero temperature, a one- or two-dimensional isotropic spin-S$ Heisenberg model with finite-range exchange interaction can be neither ferromagnetic nor antiferromagnetic.
Book

The Fokker-Planck equation

Hannes Risken
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Quantum Phase Transition From a Superfluid to a Mott Insulator in a Gas of Ultracold Atoms

TL;DR: This work observes a quantum phase transition in a Bose–Einstein condensate with repulsive interactions, held in a three-dimensional optical lattice potential, and can induce reversible changes between the two ground states of the system.

Bose-Einstein condensation in dilute gases

TL;DR: In this paper, a unified introduction to the physics of ultracold atomic Bose and Fermi gases for advanced undergraduate and graduate students, as well as experimentalists and theorists is provided.
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