Theory of a two-mode phase-sensitive amplifier

Abstract

A theory of two-mode phase-sensitive amplification by a three-level atomic system in the cascade configuration is presented, within the framework of the theory of multiwave mixing. Two photons of a strong external pump field induce coherence between the top and bottom levels. It is shown that both quadratures of the field modes acquire unequal gain and added noise. For large values of the dimensionless pump intensity, with a particular choice of its phase, and zero side-mode detuning, the system behaves as a nondegenerate parametric amplifier.PACS number(s): 42.60. Da, 42.65. Ky, 32.80.8x

Effect of atomic coherence on the second- and higher-order squeezing in a two-photon three-level cascade atomic system

“…It is also shown that this system gives phase-sensitive amplification and when it is considered inside a cavity it shows certain nonclassical effects [6,7].…”

Non-classical Effects in Multi-wave Mixing

“…By using equations (19) and (20), we have the following expression for the violation of the Cauchy-Schwarz inequality…”

“…The different coefficients of equation (2) are given in [18] and [19] . These coefficients are expressed in terms of mode detuning Al=(1Ja -OJb -v l =-A' and A3=cob-v3 = A', where A'=(Ob-w,-v2-0 is the side-mode detuning and A=v 2 -v 1 is the beat frequency ; y i and y 3 are the dipole decay constants for a-+b and b-+c transitions respectively; two-photon coherent decay rate between level a to c, y2 = l / T2 ; upper level decay rate I' .…”

Effect of biased noise fluctuations on the output radiation of coherent beat laser

“…In recent years, interaction of three-level atoms with radiation has attracted a great deal of interest in relation to the strong correlation induced particularly during the cascading transitions [1][2][3][4][5][6][7][8][9][10][11][12][13]. It is common knowledge by now that the atomic coherence in such a system is accountable for the squeezing of the emitted radiation.…”

“…It is common knowledge by now that the atomic coherence in such a system is accountable for the squeezing of the emitted radiation. The atomic coherence can be induced in a three-level cascade scheme by coupling the upper energy level |a and lower energy level |c, between which a direct transition is dipole forbidden, with external radiation [1][2][3][4][5][6] or by preparing the atom initially in coherent superposition of these two levels [7][8][9][10][11][12] or using these mechanisms at the same time [13]. In addition to these options, Xu and Hu [14] have considered the two-step cascade coherent excitation.…”