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Selected Works

Serge Youri Kalmykov

Non-classical states of light (quantum statistics, integrals of motion, correlation and squeezing)

Publication Year

Articles 1 - 4 of 4

Full-Text Articles in Physics

Quantum-Statistical Properties Of Two Coupled Modes Of Electromagnetic Field, Serguei Y. Kalmykov, Mikhail E. Veisman Apr 1998

Quantum-Statistical Properties Of Two Coupled Modes Of Electromagnetic Field, Serguei Y. Kalmykov, Mikhail E. Veisman

Serge Youri Kalmykov

Squeezing the quantum fluctuations of the two-mode light due to the nonstationary coupling between the quadrature components q_1 and q_2 is examined. The delta-function and step-function mode couplings are considered. The conditions of weak and strong step-function coupling are distinguished, the latter being the condition of the instability for the classical counterpart of the quantum system under study. Under the conditions of weak coupling the quadrature squeezing is established in both a two-mode electromagnetic noise in thermal equilibrium (the thermal state) and a two- mode correlated coherent state (CCS). Squeezing in the thermal state is suppressed at a high temperature. …


Features Of The Photon Statistics Of Two Coupled Electromagnetic Field Modes Under The Conditions Of Strong Mode Coupling, Mikhail E. Veisman, Serguei Y. Kalmykov Jun 1997

Features Of The Photon Statistics Of Two Coupled Electromagnetic Field Modes Under The Conditions Of Strong Mode Coupling, Mikhail E. Veisman, Serguei Y. Kalmykov

Serge Youri Kalmykov

The probabilities of transitions between the Fock states of two electromagnetic field modes under the influence of coupling between modes of finite duration are investigated. It is shown that the transition probability is a strongly oscillating function of the mode numbers of the photons. Under conditions in which the coupling frequency exceeds the geometric mean of the mode frequencies (strong coupling), large numbers of photons are excited in the mode with the lower frequency. The excitation of a two-dimensional radiation field oscillator and the ‘‘red’’ symmetry of the transition probabilities can be attributed to instability of the classical two-dimensional oscillator …


Correlated And Coherent States Of The Two-Dimensional Quantum Oscillator With A Nonstationary Mode Coupling, Mikhail E. Veisman, Serguei Y. Kalmykov Apr 1997

Correlated And Coherent States Of The Two-Dimensional Quantum Oscillator With A Nonstationary Mode Coupling, Mikhail E. Veisman, Serguei Y. Kalmykov

Serge Youri Kalmykov

We investigate the squeezing and correlation phenomena of quantum fluctuations in correlated coherent states of a system of two oscillatory modes with a parametric coupling of the coordinates. In the regime of strong coupling between the modes, we discover an excitation and a strong correlation of the quantum fluctuations. The matrix of dispersions and covariances of the coordinates and momenta is found explicitly with the help of the method of the linear quantum integrals of motion.


Statistical Properties Of Schriidinger Real And Imaginary Cat States, Victor V. Dodonov, Serguei Y. Kalmykov, Vladimir I. Man'ko Mar 1995

Statistical Properties Of Schriidinger Real And Imaginary Cat States, Victor V. Dodonov, Serguei Y. Kalmykov, Vladimir I. Man'ko

Serge Youri Kalmykov

We study the photon statistics in the superpositions of coherent states |\alpha> and |\alpha*> named “Schroedinger real and imaginary cat states”. The oscillatory character of the photon distribution function (PDF) emerging due to the quantum interference between the two components is shown, and quadrature squeezing is observed for moderate values |\alpha| ~ 1. In spite of the quantity <\delta n^2> / tending to unity (like in the Poissonian PDF) at |\alpha| >> 1, the photon statistics is essentially non-Poissonian for all values of |\alpha|. The factorial moments and cumulants of the PDF are calculated, and oscillations of their ratio are demonstrated.