Fractional quantum mechanics in polariton condensates with velocity dependent mass
arXiv:1508.03621 · doi:10.1103/PhysRevB.92.195310
Abstract
We introduce and analyze a novel mean-field model for polariton condensates with velocity dependence of the effective polariton mass due the photon and exciton components. The effective mass depends on the in-plane wave vector k, which at the inflection point of the lower polariton energy branch becomes infinite and above negative. The polariton condensate modes of the new mean-field theory are now sensitive to mass variations and for certain points of the energy dispersion the polariton condensate mode represents fractional quantum mechanics. The impact of the generalized kinetic energy term is elucidated by numerical studies in 1D and 2D showing significant differences for large velocities. Analytical expressions for plane wave solutions as well as a linear waves analysis show the significance of this new model.
References in corpus (12)
- Quantum fluids of light
- Fractional Quantum Mechanics
- Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
- Spontaneous rotating vortex lattices in a pumped decaying condensate
- Energy Relaxation in a 1-D Polariton Condensate
- Spontaneous spin bifurcations and ferromagnetic phase transitions in a spinor exciton-polariton condensate
- Numerical study of fractional Nonlinear Schrödinger equations
- Fractional quantum mechanics in polariton condensates with velocity dependent mass
- On-demand dark soliton train manipulation in a spinor polariton condensate
- Quantum theory of multimode polariton condensation
- Nonlinear Eigenmodes of a Polariton Harmonic Oscillator
- Non-conservative Lagrangian method for half-dark solitons in spinor non-equilibrium Polariton condensates
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- Bubbles and W-shaped solitons in Kerr media with fractional diffraction
- Symmetry-breaking transitions in quiescent and moving solitons in fractional couplers
- One- and two-dimensional solitons in spin-orbit-coupled Bose-Einstein condensates with fractional kinetic energy
- Second-harmonic generation in the system with fractional diffraction
- Domain walls in fractional media
- Localized modes in nonlinear fractional systems with deep lattices
- Gaussian impurity moving through a Bose-Einstein superfluid
- A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator
- Bound states in the continuum of fractional Schrödinger equation in the Earth's gravitational field and their effects in the presence of a minimal length: applications to distinguish ultralight particles