BEGIN:VCALENDAR VERSION:2.0 PRODID:-//linuxsoftware.nz//NONSGML Joyous v1.4//EN BEGIN:VEVENT SUMMARY:Quantum kinetic theory of light-matter interactions: From quantum plasmas to photon condensates DTSTART:20260611T100000Z DTEND:20260611T120000Z DTSTAMP:20260930T143827Z UID:faf5a589-5093-4f47-a361-c001cc99efcc SEQUENCE:2 CREATED:20260603T101555Z DESCRIPTION:This thesis presents a quantum kinetic description of light– matter systems in which electrons and photons are treated as fully quantum -degenerate fields. Starting from a minimal-coupling Hamiltonian\, we deri ve coupled Wigner equations for their phase space distributions\, showing how quantum light–matter interactions enter directly at the kinetic leve l. Taking the semiclassical limit yields modified Vlasov and fluid equatio ns that include explicit Hartree and Fock contributions to single-particle energies\, phase space velocities\, and forces\, together with absorption \, emission\, and collision terms linking the two sectors. First\, we appl y the coupled kinetic equations to degenerate electron systems. In the con text of quantum plasmas\, the theory uncovers hybrid plasmon–photon mode s and nonlinear instabilities driven by strong light–matter coupling. Ex tending the analysis to bilayer solid-state systems\, we show that a dynam ical Fock potential reshapes the phase space flow through additional shift s in plasmon dispersion and enhancement of localization effects. Numerical solutions reveal screening and momentum transfer\, yielding quantitative corrections to Coulomb drag and influencing the stability of low dimension al electron gases. The kinetic formulation is then applied to the descript ion of quantum states of light. In plasma environments\, the theory predic ts that repeated nonlinear Compton processes can drive photons toward cond ensation under experimentally accessible conditions. A driven dissipative version of the kinetic equations that incorporates pumping and loss is con structed\, thereby enabling a microscopic description of thermalisation an d coherence dynamics in semiconductor photon condensates. Numerical simula tions reveal transitions from thermal Bose–Einstein distributions to sin gle-mode condensates and\, at higher pump powers\, to multimode states res embling laser operation. An effective Gross Pitaevskii equation is derived in which photon–photon interactions emerge from the electronic response of the medium. The resulting nonlocal interaction gives rise to modulatio nal instabilities supporting supersolid light\, pointing toward a rich lan dscape of strongly correlated photonic phases. LAST-MODIFIED:20260603T101604Z LOCATION:Online URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/quantum-kinetic-theory-of- light-matter-interactions-from-quantum-plasmas-to-photon-condensates/ X-ALT-DESC;FMTTYPE=text/html:

This thesis present s a quantum kinetic description of light–matter systems in which electro ns and photons are treated as fully quantum-degenerate fields. Starting fr om a minimal-coupling Hamiltonian\, we derive coupled Wigner equations for their phase space distributions\, showing how quantum light–matter inte ractions enter directly at the kinetic level. Taking the semiclassical lim it yields modified Vlasov and fluid equations that include explicit Hartre e and Fock contributions to single-particle energies\, phase space velocit ies\, and forces\, together with absorption\, emission\, and collision ter ms linking the two sectors.

First\, we apply the coupled kinetic equations to degenerate electron systems. In the context of quantum plasm as\, the theory uncovers hybrid plasmon–photon modes and nonlinear insta bilities driven by strong light–matter coupling. Extending the analysis to bilayer solid-state systems\, we show that a dynamical Fock potential r eshapes the phase space flow through additional shifts in plasmon dispersi on and enhancement of localization effects.

Numerical solutions reveal screening and momentum transfer\, yielding quantitative corrections to Coulomb drag and influencing the stability of low dimensional electron gases. The kinetic formulation is then applied to the description of quan tum states of light. In plasma environments\, the theory predicts that rep eated nonlinear Compton processes can drive photons toward condensation un der experimentally accessible conditions.

A driven dissipative v ersion of the kinetic equations that incorporates pumping and loss is cons tructed\, thereby enabling a microscopic description of thermalisation and coherence dynamics in semiconductor photon condensates. Numerical simulat ions reveal transitions from thermal Bose–Einstein distributions to sing le-mode condensates and\, at higher pump powers\, to multimode states rese mbling laser operation. An effective Gross Pitaevskii equation is derived in which photon–photon interactions emerge from the electronic response of the medium. The resulting nonlocal interaction gives rise to modulation al instabilities supporting supersolid light\, pointing toward a rich land scape of strongly correlated photonic phases.

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