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Iranian Conference on Electrical Engineering

Propagation of Quantum Squeezed Radiation in PT- Symmetric Rydberg Atomic Structures

Elnaz Pilehvar, Ehsan Amooghorban, Mohammad Kazem Moravvej‐Farshi

Published Apr 1, 2019• 5 citations
Publisher

Abstract

We analyze the modification of non-classical properties of a quantum squeezed light upon perpendicular propagation through a parity-time (PT) symmetric medium composed of an ensemble of strongly interacting Rydberg atoms at zero temperature. To do so, we first model the optical parameters of the PT-symmetric Rydberg atomic medium by a 16-layer gain and a 16-layer loss with identical thicknesses and stepwise homogeneous material parameters. Then, we calculate the quadrature squeezing of the outgoing light after scattering by the structure. The results show that the output light at the Rabi frequency of the probe field Ωp=0.05 MHz is no longer squeezed in the PT-symmetry and broken phase regimes.

DOI
10.1109/iraniancee.2019.8786406

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Chinese Journal of Lasers•Jan 1, 2004•0 citations
We analyze the modification of non-classical properties of a quantum squeezed light upon perpendicular propagation through a parity-time (PT) symmetric medium composed of an ensemble of strongly interacting Rydberg atoms at zero temperature. To do so, we first model the optical parameters of the PT-symmetric Rydberg atomic medium by a 16-layer gain and a 16-layer loss with identical thicknesses and stepwise homogeneous material parameters. Then, we calculate the quadrature squeezing of the outgoing light after scattering by the structure. The results show that the output light at the Rabi frequency of the probe field Ωp=0.05 MHz is no longer squeezed in the PT-symmetry and broken phase regimes.
We investigate the medium effect of a parity-time (PT)-symmetric bilayer on the quantum optical properties of an incident squeezed light at zero temperature (T=0 K).To do so, we use the canonical quantization approach and describe the amplification and dissipation properties of the constituent layers of the bilayer structure by Lorentz model to analyze the quadrature squeezing of the outgoing state from the bilayer structure.Our results show that despite the apparent compensation of the losses within the bilayer in the symmetry phase, the outgoing light is no longer squeezed.The results also show that the quantum optical effective medium theory correctly predicts the quantum features of the light outgoing from the PT-symmetric bilayer structure.
In this paper, we investigate the dispersion and medium effects of non-Hermitian bilayer structures consisting of gain and loss layers on the squeezing property of an obliquely incident squeezed light for s- and p-polarized light, in particular at a discrete set of frequencies for which these structures hold PT-symmetric. For this purpose, we calculate the quadrature squeezing of the output state using the QOEMT. The results show although the squeezing property of the output light is retained for the incident frequency farther from the emission frequency of the gain layer, the output light is not squeezed in the PT-symmetric phase.
Abstract We investigate the propagation of a normally incident squeezed coherent state of light through dispersive non-Hermitian optical bilayers, particularly at a frequency that the bilayers hold parity-time (𝒫𝒯) symmetry. To check the realization of 𝒫𝒯-symmetry in quantum optics, we reveal how dispersion and loss/gain-induced noises and thermal effects in such bilayers can affect quantum features of the incident light, such as squeezing and sub-Poissonian statistics. The numerical results show thermally induced noise at room temperature has an insignificant effect on the propagation properties in these non-Hermitian bilayers. Moreover, tuning the bilayers’ loss/gain strength, we show that the transmitted squeezed coherent states through the structure can retain to some extent their nonclassical characteristics, specifically for the frequencies far from the emission frequency of the gain layer. Furthermore, we demonstrate, only below a critical value of gain, quantum optical effective medium theory can correctly predict the propagation of quantized waves in non-Hermitian and 𝒫𝒯-symmetric bilayers.
Employing a second-quantization of the electromagnetic field in the presence of media with both gain and loss, we investigate the propagation of the squeezed coherent state of light through a dispersive non-Hermitian multilayered structure, in particular at a discrete set of frequencies for which this structure is P T -symmetric. We detail and generalize this study to cover various angles of incidence and s- and p-polarizations to reveal how dispersion, gain/loss-induced noises in such multilayered structures affect nonclassical properties of the incident light, such as squeezing and sub-Poissonian statistics. Varying the loss layers’ coefficient, we demonstrate a squeezed coherent state, when transmits through the structure whose gain and loss layers have unidentical bulk permittivities, retains its nonclassical features to some extent. Our results show by increasing the number of unit cells and incident angle, the quantum features of the transmitted state for both polarizations degrade.
Non-Hermitian optical systems with parity-time (PT) symmetry have recently revealed many intriguing prospects that outperform conservative structures. The previous works are mostly rooted in complex arrangements with controlled gain-loss interplay. Here, we demonstrate anti-PT symmetry inherent in the nonlinear optical interaction based upon forward optical four-wave mixing in a laser-cooled atomic ensemble with negligible linear gain and loss. We observe that the pair of frequency modes undergo a nontrivial anti-PT phase transition between coherent power oscillation and optical parametric amplification in presence of a large phase mismatch.
An analytical approach is adopted for the calculation of squeezed property of coherent light interacting with a nonlinear medium of inversion symmetry. A medium is called inversion symmetric if the potential energy remains invariant under parity transformation. Thus the even order susceptibilities would vanish for the medium and the leading contribution to the nolinear polarization due to the medium is the third order susceptibility. Therefore interaction Hamitonian of the single mode light field with the medium is proportional to the fourth power of the annihilation operator plus creation operator. This means is to take care all the non conserving energy terms for the calculation of the squeezing property of coherent light passing through the nonlinear medium of inversion symmetry. For a single mode light, two dimensionless quadrature operators are defined which are proportional to the usual position and momentum operators respectively. Using the Heisenberg operator equation of motion, the differential equation of the quadrature operators and the approximate solutions to the equations are got. Then the quantum fluctuations of the two quadratures are calculated. The result shows that the squeezing property of the two quadrature operators is controllable through changing the following parameters: coupling constant, mean photon number, light field frequency, and interaction time.