Lossless Polariton Solitons
Photons and excitons in a semiconductor microcavity interact to form exciton-polariton condensates. These are governed by a nonlinear quantum-mechanical system involving exciton and photon wavefunctions. We calculate all non-traveling harmonic soliton solutions for the one-dimensional lossless syste...
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Zusammenfassung: | Photons and excitons in a semiconductor microcavity interact to form
exciton-polariton condensates. These are governed by a nonlinear
quantum-mechanical system involving exciton and photon wavefunctions. We
calculate all non-traveling harmonic soliton solutions for the one-dimensional
lossless system. There are two frequency bands of bright solitons when the
inter-exciton interactions produce an attractive nonlinearity and two frequency
bands of dark solitons when the nonlinearity is repulsive. In addition, there
are two frequency bands for which the exciton wavefunction is discontinuous at
its symmetry point, where it undergoes a phase jump of pi. A band of continuous
dark solitons merges with a band of discontinuous dark solitons, forming a
larger band over which the soliton far-field amplitude varies from zero to
infinity; the discontinuity is initiated when the operating frequency exceeds
the free exciton frequency. The far fields of the solitons in the lowest and
highest frequency bands (one discontinuous and one continuous dark) are
linearly unstable, whereas the other four bands have linearly stable far
fields, including the merged band of dark solitons. |
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DOI: | 10.48550/arxiv.1409.4067 |