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We discuss a theory of the ultrafast non-linear optical response of excitons in the Quantum Hall system. Our theory focusses on the role of the low energy collective electronic excitations of the cold, strongly correlated, two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2008-08-05 I. E. Perakis , E. G. Kavousanaki

The dynamics of electrons and atoms interacting with intense and ultrashort optical pulses presents an important problem in physics that cuts across different materials such as semiconductors and metals. The currently available laser…

Condensed Matter · Physics 2009-10-31 I. E. Perakis , T. V. Shahbazyan

We study theoretically the ultrafast nonlinear optical response of quantum well excitons in a perpendicular magnetic field. We show that for magnetoexcitons confined to the lowest Landau levels, the third-order four-wave-mixing (FWM)…

Condensed Matter · Physics 2009-10-31 T. V. Shahbazyan , N. Primozich , I. E. Perakis

We study theoretically the ultrafast nonlinear optical response of quantum well excitons in a perpendicular magnetic field. We address the role of many-body correlations originating from the electron scattering between Landau levels (LL).…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tigran V. Shahbazyan

The correlated behavior of electrons determines the structure and optical properties of molecules, semiconductor and other systems. Valuable information on these correlations is provided by measuring the response to femtosecond laser…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shaul Mukamel , Rafal Oszwaldowski , Lijun Yang

Photons in a nonlinear medium can repel or attract each other, resulting in a strongly correlated quantum many-body system. Typically, such strongly correlated states of light arise from the extreme nonlinearity granted by quantum emitters…

We discuss the strong interaction regime of the nonlinear Landau-Zener problem coming up at coherent photo- and magneto-association of ultracold atoms. We apply a variational approach to an exact third-order nonlinear differential equation…

Quantum Gases · Physics 2009-09-04 R. Sokhoyan , H. Azizbekyan , C. Leroy , A. Ishkhanyan

We present a systematic theory of Coulomb interaction effects in the nonlinear optical processes in semiconductors using a perturbation series in the exciting laser field. The third-order dynamical response consists of phase-space filling…

Condensed Matter · Physics 2009-10-31 Th. Oestreich , K. Schoenhammer , L. J. Sham

We present a systematic theory of Coulomb-induced correlation effects in the nonlinear optical processes within the strong-coupling regime. In this paper we shall set a dynamics controlled truncation scheme \cite{Axt Stahl} microscopic…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Portolan , O. Di Stefano , S. Savasta , F. Rossi , R. Girlanda

A precise time-dependent control of a quantum system relies on an accurate account of the quantum interference among the system, the control and the environment. A diagrammatic technique has been recently developed to precisely calculate…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Ching-Kit Chan , L. J. Sham

Engineering strong interactions between optical photons is a great challenge for quantum science. Envisioned applications range from the realization of photonic gates for quantum information processing to synthesis of photonic quantum…

Mesoscale and Nanoscale Physics · Physics 2019-11-26 Patrick Knüppel , Sylvain Ravets , Martin Kroner , Stefan Fält , Werner Wegscheider , Atac Imamoglu

We develop a non-equilibrium many-body theory of the coherent femtosecond nonlinear optical response of the Fermi edge singularity. We study the role of the dynamical Fermi sea response in the time-evolution of the pump-probe spectra. The…

Condensed Matter · Physics 2009-10-31 N. Primozich , T. V. Shahbazyan , I. E. Perakis , D. S. Chemla

Nonlinear optical signals in optically driven quantum systems can reveal coherences and thereby open up the possibility for manipulation of quantum states. While the limiting cases of ultrafast and continuous-wave excitation have been…

Strongly correlated solids are extremely complex and fascinating quantum systems, where new states continue to emerge, especially when interaction with light triggers interplay between them. In this interplay, sub-laser-cycle electron…

Strongly Correlated Electrons · Physics 2023-03-13 V. Valmispild , E. Gorelov , M. Eckstein , A. Lichtenstein , H. Aoki , M. Katsnelson , M. Ivanov , O. Smirnova

We study nonlinear response of a quantum Hall system in semiconductor-heterostructures via third harmonic generation process and nonlinear Faraday effect. We demonstrate that Faraday rotation angle and third harmonic radiation intensity…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 H. K. Avetissian , G. F. Mkrtchian

We investigate a hybrid electro-optomechanical system that allows us to obtain controllable strong Kerr nonlinearities in the weak-coupling regime. We show that when the controllable electromechanical subsystem is close to its quantum…

Quantum Physics · Physics 2013-10-25 Xin-You Lü , Wei-Min Zhang , Sahel Ashhab , Ying Wu , Franco Nori

This Letter brings together two topics that, until now, have been the focus of intense but non-overlapping research efforts. The first concerns high harmonic generation in solids, which occurs when intense light field excites highly…

Strongly Correlated Electrons · Physics 2022-04-06 R. E. F. Silva , Igor V. Blinov , Alexey N. Rubtsov , O. Smirnova , M. Ivanov

The nonlinear optical dynamics of nano-materials comprised of plasmons interacting with quantum emitters is investigated by a self-consistent model based on the coupled Maxwell-Liouville-von Neumann equations. It is shown that ultra-short…

Mesoscale and Nanoscale Physics · Physics 2013-12-04 Maxim Sukharev , Tamar Seideman , Robert J. Gordon , Adi Salomon , Yehiam Prior

Strong magnetic fields quench the kinetic energy of electrons, leading to the formation of flat energy bands, known as Landau levels (LLs). In this situation, even weak interactions can drive the emergence of various ordered phases. The…

Photonic integrated circuits with second-order ($\chi^{(2)}$) nonlinearities are rapidly scaling to remarkably low powers. At this time, state-of-the-art devices achieve saturated nonlinear interactions with thousands of photons when driven…

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