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We derive 15 classes of time-dependent two-state models solvable in terms of the confluent Heun functions. These classes extend over all the known families of three- and two-parametric models solvable in terms of the hypergeometric and the…

原子物理 · 物理学 2014-11-11 A. M. Ishkhanyan , A. E. Grigoryan

We present analytical solutions for the problem of a two-level atom driven by a class of chirped pulses. The solutions are given in terms of Heun functions. Using appropriate chirping parameters an enhancement of four-orders of magnitudes…

量子物理 · 物理学 2010-07-23 Pankaj K. Jha , Yuri V. Rostovtsev

This work presents an analytic description of the coherent excitation of a two-state quantum system by an external field with a Lorentzian temporal shape and a constant frequency. An exact analytical solution for the differential equation…

量子物理 · 物理学 2014-02-21 G. S. Vasilev , N. V. Vitanov

An exact analytic solution is presented for coherent resonant excitation of a two-state quantum system driven by a time-dependent pulsed external field with a hyperbolic-secant shape in the presence of dephasing. Analytic results are…

量子物理 · 物理学 2008-04-22 E. S. Kyoseva , N. V. Vitanov

We discuss the level-crossing field configurations for which the quantum time-dependent two-state problem is solvable in terms of the confluent Heun functions. We show that these configurations belong to fifteen four-parametric families of…

原子物理 · 物理学 2014-11-11 A. M. Ishkhanyan , A. E. Grigoryan

The effects on the non-relativistic dynamics of a system compound by two electrons interacting by a Coulomb potential and with an external harmonic oscillator potential, confined to move in a two dimensional Euclidean space, are…

量子物理 · 物理学 2021-10-19 F. Caruso , J. Martins , V. Oguri

We derive five classes of quantum time-dependent two-state models solvable in terms of the double confluent Heun functions, five other classes solvable in terms of the biconfluent Heun functions, and a class solvable in terms of the…

量子物理 · 物理学 2015-08-25 T. A. Shahverdyan , T. A. Ishkhanyan , A. E. Grigoryan , A. M. Ishkhanyan

We derive 35 five-parametric classes of the quantum time-dependent two-state models solvable in terms of the general Heun functions. Each of the classes is defined by a pair of generating functions the first of which is referred to as the…

量子物理 · 物理学 2015-01-12 A. M. Ishkhanyan , T. A. Shahverdyan , T. A. Ishkhanyan

We combine multi-channel electronic structure theory with quantum optimal control to derive Raman pulse sequences that coherently populate a valence excited state. For a neon atom, Raman target populations of up to 13% are obtained.…

量子物理 · 物理学 2015-07-23 Loren Greenman , Christiane P. Koch , K. Birgitta Whaley

We integrate numerically the Schr\"odinger equation for the model helium atom irradiated by intense few-cycle laser pulse and find the emitted XUV spectra. They demonstrate resonant peaks at the frequencies of transitions from the…

光学 · 物理学 2025-05-09 S. A. Bondarenko , V. V. Strelkov

We describe the interaction of two two-level atoms in free space with propagating modes of the quantized electromagnetic field, using the time-dependent Heisenberg-Langevin method. For single- photon pulses, we consider the effect of the…

量子物理 · 物理学 2014-11-14 Navneeth Ramakrishnan , Yimin Wang , Valerio Scarani

We theoretically propose a multidimensional high-harmonic echo spectroscopy technique which utilizes strong optical fields to resolve coherent electron dynamics spanning an energy range of multiple electron Volts. Using our recently…

光学 · 物理学 2023-12-01 Shicheng Jiang , Mahesh Gudem , Markus Kowalewski , Konstantin Dorfman

We report on the experimental observation of strong-field dressing of an autoionizing two-electron state in helium with intense extreme-ultraviolet laser pulses from a free-electron laser. The asymmetric Fano line shape of this transition…

Narrow line-widths and the possibility of enhanced spontaneous emission via coupling to microcavities make semiconductor quantum dots ideal for harnessing coherent quantum phenomena at the single photon level. So far, however, all…

介观与纳米尺度物理 · 物理学 2007-07-26 A. Muller , E. B. Flagg , P. Bianucci , D. G. Deppe , W. Ma , J. Zhang , G. J. Salamo , C. K. Shih

High-order harmonic generation (HHG) is combined with resonant x-ray excitation of a core electron into the transient valence vacancy that is created in the course of the HHG process. To describe this setting, I develop a…

原子物理 · 物理学 2015-10-15 Christian Buth

Most of the theoretical physics known today is described by using a small number of differential equations. For linear systems, different forms of the hypergeometric or the confluent hypergeometric equations often suffice to describe the…

数学物理 · 物理学 2018-08-08 M. Hortacsu

We characterize the coherent dynamics of a two-level quantum emitter driven by a pair of symmetrically-detuned phase-locked pulses. The promise of dichromatic excitation is to spectrally isolate the excitation laser from the quantum…

We study the interaction of a two-level atom and two fields, one of them classical. We obtain an effective Hamiltonian for this system by using a method recently introduced that produces a small rotation to the Hamiltonian that allows to…

量子物理 · 物理学 2013-12-04 R. Juárez-Amaro , J. L. Escudero-Jiménez , H. Moya-Cessa

We report an analytic solution for a three-level atom driven by arbitrary time-dependent electromagnetic pulses. In particular, we consider far-detuned driving pulses and show an excellent match between our analytic result and the numerical…

量子物理 · 物理学 2018-12-14 Gavriil Shchedrin , Chris O'Brien , Yuri Rostovtsev , Marlan O. Scully

The combination of high-order harmonic generation (HHG) with resonant XUV excitation of a core electron into the transient valence vacancy that is created in the course of the HHG process is investigated theoretically. In this setup, the…

原子物理 · 物理学 2023-01-10 Christian Buth , Markus C. Kohler , Joachim Ullrich , Christoph H. Keitel
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