Quantum optical analysis of squeezed state of light through dispersive non-Hermitian optical bilayers

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.

Quantum Optical Effective-Medium Theory for Layered Metamaterials at Any Angle of Incidence

“…During its life as a preprint [ 73 ], applications of the formalism and results as developed in an earlier version of this paper have already been applied in several works, including Refs. [ 74 , 75 ]. These concentrate on the realization of -symmetric optical systems and the propagation of quantum states of light through them.…”

Emerging Trend in Unconventional Metasurfaces: From Nonlinear, Non-Hermitian to Nonclassical Metasurfaces

“…In quantum optics, optical loss and hence the nonhermiticity are detrimental, and therefore researchers have been working hard trying to avoid it. However, very recent studies have shown that non-Hermitian optical systems could be exploited for exotic manipulation of quantum optical states, such as one-sided quantum interference and the insensitivity of the quantum state of light to thermally induce noise in certain non-Hermitian optical systems . These studies open up new possibilities for non-Hermitian optical metasurfaces for potential applications in quantum state preparation and information processing.…”

Effects of Non-Hermitian Bilayer Medium on the Second-Order Coherence of the Transmitted Coherent and Number States

“…In what follows, we use the above parameters to numerically analyze the structure under study. We know that the thermal noise effect at room temperature and zero Kelvin, for the given incident frequency, are both insignificant [15]. Henceforward, we consider keeping the gain and loss layers at 0 K. In this section, we study how the second-order correlation function [21] (…”

“…ˆR R FF  is the average flux of the noise photons, which is given by (B7) in [15] for the exact multilayer theory. The dependency of the second-order coherence (11) on the dimensionless time delay, τ ωPT, is plotted in Fig.…”

“…2 for a two-photon Gaussian wave packet transmitting through the proposed structure. For the sake of clarity, we focus on four special values of loss coefficients, i.e., |αg |=αl=24, 114 (anisotropic transmission resonance), 52 (accidental degeneracy), and 890 (exceptional point) which their significances are given in [15].…”