Derivation of the Kinetic Equation for the Density Matrix of Two-Level Particles by the Green’S Function Method

Титов, Е. А.

doi:10.1134/1.1771421

Cited by 7 publications

(9 citation statements)

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“…Despite the qualitatively good coincidence at the left and right wings and the main red shifted peak, the divergence of the curves at some locations is caused by the limitations of the applied approximations and the theoretically undefined factors related to the specificity of the experimental setup. Mainly, the dependence on the optical path length expressed by (17) is disregarded. Furthermore, the system of equations has been solved analytically using the linearization of the integral term for the term .…”

Section: Schematic Representation Of the System Of Differential Equatmentioning

confidence: 99%

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Near Resonant Optical Absorption by a System Coupled with Two Laser Beams

Sizhuk

Dong

2020

Ukr. J. Phys.

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The structure of a solution of the generalized Maxwell–Bloch system of equations describing the strongly pumped interacting two-level atoms is discussed. This structure is represented by means of the corresponding differential equations for each contributing process. The interaction between the processes is introduced through the interaction integral and is illustrated by the specific system of graphs. The method allows one to describe the quantum-field-induced long-range interaction prevailing over short-range collisions and causing the broadening, narrowing, and shifts of an absorption line shape. The description is given in terms of the interaction integrals which couple the collective atomic polarization and population inversion. The contributions from different effects are analyzed with the use of the additivity of the corresponding absorption/reemission rates.

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Section: Schematic Representation Of the System Of Differential Equatmentioning

confidence: 99%

“…The model system under discussion takes the quantization of an electromagnetic field into account. In comparison with the semiclassical description (e.g., [4][5][6][7][8][9][10][11][12][13][14][15][16][17]), the quantum optics can uncover quantitatively and qualitatively new effects (see examples in [18][19][20][21][22][23][24][25][26]).…”

Section: Introductionmentioning

confidence: 99%

Near Resonant Optical Absorption by a System Coupled with Two Laser Beams

Sizhuk

Dong

2020

Ukr. J. Phys.

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“…Отриманий нами модельний гамiльтонiан дає можливiсть будувати у безпосереднiй манерi мiкроскопiчнi кiнетичнi рiвняння для розподiлу матричних елементiв системи (що буде продемонстровано у iншiй статтi). Альтернативний, на нашу думку, бiльш громiздкий шлях, що залучає метод функцiй Грiна, як в [8][9][10][11][12], взагалi-то, не дозволяє досягнути бiльш природного i простiшого для iнтерпретацiї формулювання кiнетичних рiвнянь у термiнах розподiлу матричних елементiв, описуючих розподiл ймовiрностi станiв системи.…”

Section: вступunclassified

Отримання Модельного Гамільтоніана Границі “Коротких Часових Інтервалів”

Сіжук¹,

Єжов²

2012

Ukr. J. Phys.

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Досліджено гамільтоніан, який описує нерелятивістську систему N частинок (атомів чи молекул), що взаємодіють із квантованим електромагнітним полем. Показано, що канонічне перетворення такого гамільтоніана, яке залишає у початковий момент часу лише оператори поля, для достатньо коротких проміжків часу не генерує поля, що обернено пропорційне першому і другому ступеню відстаней між частинками, а також розкриває певні колективні ефекти, включаючи захоплення електромагнітного поля системою частинок.

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“…Other techniques based on the Green's function method for non-equilibrium systems allows to derive kinetic equation for the density matrix of two-level particles under certain restrictions analyzed in [24]. The impact theory can be achieved from the evolution equations for the quantum Green's functions under special simplifying assumptions about the correlations in the binary approximation (see [21]).…”

Section: Introduction and Motivationsmentioning

confidence: 99%

“…Experimental evidences of the influence of atom-atom interaction on spectral characteristics can be found in the earlier investigations (see, for example [11][12][13]). The theoretical description of the effects, including spectral narrowing and broadening, radiation trapping, caused by the long-range and short-range ("hard core" collisions) atomatom interactions starts its development approximately from the second half the twentieth century (see, for instance, [14][15][16][17][18][19][20][21]) reaching the modern state, for example, in [22][23][24]. In the current investigation we emphasize on the influence of the long-range interactions on the line shapes that was not theoretically explained earlier.…”

Section: Introduction and Motivationsmentioning

confidence: 99%

Kinetics and Optical Properties of the Strongly Driven Gas Medium of Interacting Atoms

Sizhuk

Hemmer

2012

J Stat Phys

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This paper investigates stimulated emission and absorption near resonance for a driven system of interacting two-level atoms. Microscopic kinetic equations for the density matrix elements of N -atom states including atomic motion are built, taking into account atom-field and atom-atom interactions. Analytical solutions are given for the resulting macroscopic equations in different limits, for a system composed of a strong coherent "pump" field and a weak counter-propagating "probe" field. It was shown that the existence of a dipole-dipole (long-range) interaction between atoms separated by distance less than the pump wave-length can cause the formation of periodic polarization and population structures (gratings in time and space) in the pumped medium without a probe field. The magnitude of pump induced population grating can have a strong dependence on the relation between the pump field detuning and the polarization decay rate. The "interaction" between pump and probe induced polarization/population gratings through a dipole-dipole interaction mechanism causes the absorption line shape asymmetry. Under certain conditions, this asymmetry is revealed in increasing probe gain for the "red"-shifted (relative to pump) probe and suppressing the gain for the "blue"-shifted probe field when pump is "red"-shifted relative to the ensemble averaged resonant frequency. The theoretical results are consistent with experimental data for the probe gain or absorption as the function of frequency and the dependance of the gain on atomic density for sodium vapor when the pump laser is tuned near the D 2 line. Here the dependance of gain on particle density was explained in the terms of the long-range interaction between the atoms.

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Derivation of the Kinetic Equation for the Density Matrix of Two-Level Particles by the Green’S Function Method

Cited by 7 publications

References 0 publications

Near Resonant Optical Absorption by a System Coupled with Two Laser Beams

Near Resonant Optical Absorption by a System Coupled with Two Laser Beams

Отримання Модельного Гамільтоніана Границі “Коротких Часових Інтервалів”

Kinetics and Optical Properties of the Strongly Driven Gas Medium of Interacting Atoms

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