A kinetic equation for polaritons

Stolz, H.

doi:10.1002/pssb.2221350223

Cited by 8 publications

(12 citation statements)

References 21 publications

(2 reference statements)

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“…The spectral identity a = g > + g < proofs that this ansatz is consistent with the extended quasiparticle picture which is obtained for small imaginary parts of the self-energy γ 12,16,21,22,23,24,27,28 a(pωrt) = 2πδ(ω − ǫ(prt))…”

Section: Virial Regimesupporting

confidence: 73%

Nonlocal Kinetic Theory

Morawetz

Špička²,

Lipavský³

2000

Recent Progress in Many-Body Theories

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The short time behavior of a disturbed system is influenced by off-shell motion and best characterized by the reduced density matrix possessing high energetic tails. We present analytically the formation of correlations due to collisions in an interacting Fermionic system with and without initial correlation. After this short time regime the time evolution is controlled by small gradients. This leads to a nonlocal Boltzmann equation for the quasiparticle distribution and a functional relating the latter one to the reduced density matrix. The nonlocalities are presented as time and space shifts arising from gradient expansion and are leading to virial corrections in the thermodynamical limit.

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Section: Virial Regimesupporting

confidence: 73%

Nonlocal Kinetic Theory

Morawetz

Špička²,

Lipavský³

2000

Recent Progress in Many-Body Theories

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“…The purpose of the present section is to decompose (2.22) into contributions which refer to bound states and the scattering continuum. In contrast to [8] we do not apply an eigenfunction expansion of the T-matrix which is complicated by the non-Hermiticity of the problem which originates from the Pauli blocking, 1 -faf b in (2.15). Extensive use will be made of the well-known optical theorem [la] which is derived in the Appendix together with a further relation.…”

Section: Bound and Scattering Contributionsmentioning

confidence: 99%

“…Thus in an earlier paper [8] we were led to start right from the beginning with a quasiparticle approach to the spectral function of single particles. Bound states are brought into play by the T-matrix approximation to the self-energy.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The Mass Action Law in Two‐Component Fermi Systems Revisited Excitons and Electron‐Hole Pairs

Zimmermann

Stolz

1985

Physica Status Solidi (b)

Self Cite

100

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Taking up the quantum-statistical derivation of a mass action law for two-component Fermi systems with Coulomb interaction given previously an improved density formula for either species is presented. It expresses the densities as a sum of a free quasi-particle part and a correlated contribution resulting from bound and scattering states. Avoiding the resolvent-technique for the solution of the T-matrix equation the correlated density is directly expressed in terms of on-shell quantities, eventually the scattering phase shifts. The ionisation equilibrium of excitons, electrons, and holes is quantitatively analyzed by model calculations for a cut-off Coulomb potential. The possibility of Bose-Einstein condensation of scattering states is inspected.Auf der Grundlage einer fruher angegebenen quantenstatistischen Ableitung eines Massenwirkungsgesetzes fur Zweikomponenten-Fermisysteme mit Coulomb-Wechselwirkung wird ein verbesserter Ausdruck fur die Dichten der Teilchensorten angegeben. Die Dichten ergeben sich als Summe einer Dichte freier Quasiteilchen und eines Korrelationsbeitrages, der von den Bindungs-und Streuzustinden herruhrt. Bei der Behandlung der T-Matrix-Gleichung wird auf die Anwendung der Resolvententechnik verzichtet, und die korrelierte Dichte wird direkt durch aus der T-Matrix abgeleitete ,,on-shell"-GroOen, letzten Endes durch die Streuphasen, ausgedruckt. Das Ionisationsgleichgewicht von Exzitonen, Elektronen und Lochern wird anhand von Modellrechnungen fur ein ,,cut-off"-Coulomb-Potential untersucht. Die Moglichkeit der Bose-Einstein-Kondensation von Streuzustlnden wird betrachtet.

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“…This problem is particularly interesting not only in device applications but also in fundamental physics because the crossover between the exciton BEC and the BCS-like e-h pairing state has theoretically been predicted at low temperatures [47,59], and because the exciton BEC has recently been realized in Cu 2 O [60,61]. To investigate these phenomena in a unified framework, a study based on the self-consistent Tmatrix approach [27,28,[62][63][64]…”

Section: Discussionmentioning

confidence: 99%

Density dependence of the terahertz absorption spectra in optically excited semiconductors

Inagaki

2014

Physica Status Solidi (b)

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We theoretically investigate the terahertz (THz) absorption spectra in optically excited direct bandgap bulk semiconductors for various electron–hole (e–h) pair densities with analyzing Coulomb interacting two‐band e–h systems. The exciton Mott transition (the density ionization) can clearly be studied because, above the critical density, the exciton structures originating from the intraexciton transitions disappear and only the Drude component is obtained. The present theory also predicts that the transition energy from 1s to 2p states is almost independent of density below the exciton Mott density. We also study the interplay between the density ionization of excitons and the abrupt increase in the ionization ratio and in the e–h quasi‐chemical potential owing to the quantum dissociation.

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A kinetic equation for polaritons

Cited by 8 publications

References 21 publications

Nonlocal Kinetic Theory

Nonlocal Kinetic Theory

The Mass Action Law in Two‐Component Fermi Systems Revisited Excitons and Electron‐Hole Pairs

Density dependence of the terahertz absorption spectra in optically excited semiconductors

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