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Laser Physics Letters

Phase-sensitive excitation of atomic systems and semiconductor quantum wells by non-classical light

D. V. Popolitova, Olga V. Tikhonova

Published Nov 26, 2019• 15 citations
Publisher

Abstract

Abstract The interaction of 3-level atom with two resonant quantum fields is investigated and an analytical solution is obtained. The effect of coherent population trapping and formation of a ‘dark’ state is analyzed. The atomic and field dynamics is found to be very sensitive to the photon statistics and relative phases of the initial quantum field states. The effect of quantum ‘death’ and ‘birth’ of atomic transitions and mean photon number evolution is demonstrated. Strong entanglement between atomic and field subsystems arising during the interaction is found and studied in details.

DOI
10.1088/1612-202x/ab570b

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Abstract The interaction of 3-level atom with two resonant quantum fields is investigated and an analytical solution is obtained. The effect of coherent population trapping and formation of a ‘dark’ state is analyzed. The atomic and field dynamics is found to be very sensitive to the photon statistics and relative phases of the initial quantum field states. The effect of quantum ‘death’ and ‘birth’ of atomic transitions and mean photon number evolution is demonstrated. Strong entanglement between atomic and field subsystems arising during the interaction is found and studied in details.
Abstract The interactions of a three-level atomic system with a single mode of quantized field is investigated analytically. The effect of coherent population trapping is demonstrated for an arbitrary initial quantum field state and the peculiarities of this regime in squeezed vacuum light are found. Mutual influence between atomic and field subsystems and their entanglement arising during the interaction is demonstrated. A significant change of the field state during the interaction is shown. The possibility of photon bunching and anti-bunching and the formation of a quantum field with non-Gaussian properties is found.
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The influence of chaotic behavior of coherent state (CS) parameters on entanglement dynamics in system of two level atoms and photons in cavity is investigated. The initial state of the system is chosen as factorized production of photon and atomic coherent states. To find a solution of the Schrödinger equation, we presented the time-dependent wave function in the form of a wave packet in CS representation. The phase portraits and Poincare sections for classical dynamics of CS were computed, and time dependence of the mean number of photons level populations and atomic entropy were calculated in quantum case. The analysis showed that the chaotic behavior in quantum-optical Dicke model increases the degree of entanglement in the atomic subsystem. At the same time greater entanglement is generated when selecting the initial atomic CS parameters near the center of the corresponding Poincare sections. It is considered dynamics of two identical two-level atoms in non-ideal cavity (nonideal Tavis-Cummings model). Accounting for decay showed that the generation of atomic entanglement is accompanied by the return of the initial separable state (”death” of entanglement), but this behavior with the increase of the initial parameter of the field CS is only at sufficiently small times. Influence of detuning and damping constants are considered.
In this study, we consider three interacting atoms, one of them represented by N-level atom based on SU(2) Lie algebra and the other represented by a two two-level atom in presence of the external field. The effect of the external field on the dynamics of the proposed system is discussed in detail for certain values for the external field. The dynamical expression of the observable operators is obtained by using the Heisenberg equation of motion. The general solution via solving Schrodinger equation is obtained. The fidelity and concurrence formula as a measure of entanglement between two two-level atom are calculated and discussed in detail. We explore the sudden death and sudden birth phenomena with and without the presence of external field. Finally, we compare the results of the fidelity, concurrence and second-order correlation function for some values of the initial state and the external field parameters.