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The non-equilibrium dynamics of electrons is of a great experimental and theoretical value providing important microscopic parameters of the Coulomb and electron-phonon interactions in metals and other cold plasmas. Because of the…

Superconductivity · Physics 2008-11-19 V. V. Kabanov , A. S. Alexandrov

The effective bosonic hamiltonian for excitons, extensively quoted up to now, cannot be correct because it is (surprisingly) non-hermitian. The oversight physically originates from the intrinsic difficulty of properly defining electron-hole…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Combescot , O. Betbeder-Matibet

We revisit the approach proposed by Mukamel and coworkers to describe interacting excitons through infinite series of composite-boson operators for both, the system Hamiltonian and the exciton commutator -- which, in this approach, is…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 M. Combescot , O. Betbeder-Matibet

We introduce a new approach to density functional theory based on kinetic theory, showing that the Kohn-Sham equations can be derived as a macroscopic limit of a suitable Boltzmann kinetic equation in the limit of small mean free path…

Chemical Physics · Physics 2015-06-15 M. Mendoza , S. Succi , H. J. Herrmann

The anyon exciton model is generalized to the case of a neutral exciton consisting of a valence hole and an arbitrary number N of fractionally-charged quasielectrons (anyons). A complete set of exciton basis functions is obtained and these…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. G. W. Parfitt , M. E. Portnoi

In this work, we develop an optomechanical formalism for macroscopic quantum states in exciton-polariton systems with strong exciton-phonon interactions. We show that polariton optomechanical interactions induce dynamical backaction,…

Quantum Gases · Physics 2024-10-31 Vladislav Yu. Shishkov , Evgeny S. Andrianov , Anton V. Zasedatelev

The three-wave resonant interaction equations are a non-dispersive system of partial differential equations with quadratic coupling describing the time evolution of the complex amplitudes of three resonant wave modes. Collisions of wave…

Mathematical Physics · Physics 2017-06-28 Robert J. Buckingham , Robert M. Jenkins , Peter D. Miller

We compute the transient dynamics of phonons in contact with high energy "hot" charge carriers in 12 polar and non-polar semiconductors, using a first-principles Boltzmann transport framework. For most materials, we find that the decay in…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 Sridhar Sadasivam , Maria K. Y. Chan , Pierre Darancet

A set of equations is derived from the Boltzmann kinetic equation describing charge transport in semiconductors. The unknowns of these equations depend on the space-time coordinates and the electron energy. The non-parabolic and parabolic…

Statistical Mechanics · Physics 2007-05-23 S. F. Liotta , A. Majorana

We construct a second-quantized representation with a structure of balanced ternary formalism, which involves three substances in organic molecular materials, namely electron, hole and charge-transfer exciton, into a uniform framework. The…

Quantum Physics · Physics 2025-10-10 Yao Yao

We prove that for a combined system of classical and quantum particles, it is possible to write a dynamics for the classical particles that incorporates in a natural way the Boltzmann equilibrium population for the quantum subsystem. In…

Other Condensed Matter · Physics 2010-09-01 J. L. Alonso , A. Castro , P. Echenique , V. Polo , A. Rubio , D. Zueco

The formation and various possible decay processes of neutral and charged excitonic complexes in electronic integral and fractional quantum Hall systems are discussed. The excitonic complexes are bound states of a small number of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Arkadiusz Wojs , John J Quinn

We calculate the frequencies and damping rates of the low-lying collective modes of a Bose-Einstein condensed gas at nonzero temperature. We use a complex nonlinear Schr\"odinger equation to determine the dynamics of the condensate atoms,…

Condensed Matter · Physics 2014-10-13 U. Al Khawaja , H. T. C. Stoof

We present a comprehensive study of a one-dimensional two-orbital model at and below quarter-filling that realizes a number of unconventional phases. In particular, we find an excitonic density wave in which excitons quasi-condense with…

Strongly Correlated Electrons · Physics 2022-09-12 Chun Yang , Adrian E. Feiguin

The properties of ultracold quantum gases of bosons with dipole-dipole interaction is investigated at finite temperature in the frame of the representative ensembles theory. Self-consistent coupled equations of motion are derived for the…

Quantum Gases · Physics 2016-06-22 Abdelaali Boudjemaa

The concept of \textit{optical} exciton - a photo-excited bound electron-hole pair within a crystal - is routinely used to interpret and model a wealth of excited-state phenomena in semiconductors. Beside originating sub-band gap signatures…

Materials Science · Physics 2022-09-21 Fulvio Paleari , Andrea Marini

We analyze the many-particle correlations that affect the optical properties of two-dimensional semiconductors. These correlations manifest themselves through the specific optical resonances such as excitons, trions, etc. Starting from the…

Mesoscale and Nanoscale Physics · Physics 2021-03-24 A. Kudlis , I. Iorsh

A system of several Wannier-Mott excitons interacting with phonons in a bulk material is considered. We show that strong exciton-phonon coupling causes the formation of a coherent two-exciton state -- the exciton pair. Unlike the…

Materials Science · Physics 2025-12-30 Vladimir Al. Osipov , Boris Fainberg

Exciton condensation indicating the spontaneous formation of electron-hole pair can cause the phase transition from a semimetal to an excitonic insulator by gap opening at the Fermi surface. While the idea of this excitonic insulator has…

Materials Science · Physics 2022-08-23 Hsiao-Yi Chen , Takuya Nomoto , Ryotaro Arita

A semi-classical approach to the study of the evolution of anyonic excitations--elementary particles with fractional statistics, complementing bosons and fermions--is through the Boltzmann equation for anyons. This work reviews a…

Mathematical Physics · Physics 2025-05-29 Niclas Bernhoff