Optical trapping with modified exponential decay in optical waveguides via dressed continuum

Simulation of coherently controlled population dynamics of a three-level atomic system in a three-waveguide directional coupler: An opto-quantum analogy

“…Besides the intuitive demonstration of classical analogues of quantum phenomena of which many of them are related to condensed matter systems, the techniques of optoquantum analogies have been extended to the field of quantum optics to simulate the interesting phenomena like quantum Rabi oscillations [17,18], stabilization of atoms in ultrastrong laser fields [19,20], stimulated Raman adiabatic passage [21][22][23][24][25][26][27] linked with coherent population trapping (CPT) [11,28,29], quantum state embedded in a continuum accompanied by Fano resonance [28,[30][31][32], electromagnetically induced transparency [33][34][35][36][37][38], coherent population dynamics in a three-level atomic system at the condition of two photon resonance required for CPT [39], quantum information processing [40] and quantum teleportation [41].…”

“…In the last few years, much attention has been paid to explore a lot of quantum effects like electronic Bloch oscillations [2,3], Landau-Zenner tunnelling [4], coherent control of quantum tunnelling [5][6][7], Wannier-Stark ladders [8] and control of quantum mechanical decay with Zeno and Anti-Zeno dynamics [9][10][11] in macroscopic photonic structures both theoretically and experimentally. To this end, a number of quantum-optical analogies based on recent day developments have been presented at length in an impressive review paper [12].…”

Variable-coupling-induced optical trapping in optical waveguides via dressed continuum

“…For bent waveguides [22,23], the coupling interactions may be of exponential, Gaussian, or in raised cosine manner, which lead to several interesting features with regard to power splitting, switching, and wavelength modulation. In continuation of our previous work [20], in a similar model we aim to examine the possibility of optical quasi-trapping in a photonic structure (Figure 1) consisting of bent waveguides side-coupled with a linear waveguide array in a variable coupling manner. For their wide applicability in the research field, we choose Gaussian and exponential interactions to develop our study.…”

“…It was shown that the existence of bound states embedded in the continuum acts as transient trapping states which slow down the decay. In some recent articles [19,20] using the Fano model [21], the optical analogue of CPT of bound states via a continuum based on destructive interference in optical waveguides (light trapping) side-coupled to a waveguide array was theoretically proposed. It was shown that complete arrest of decay is obtained under certain distinctive conditions for a straight waveguide in even or odd positions relative to another waveguide evanescently coupled to the linear waveguide array.…”

“…In all the previous articles [19,20], the side-coupled waveguides are assumed to interact with the array through a constant coupling coefficient. However, spacedependent variable coupling interactions in linear and nonlinear waveguide directional couplers have gained considerable interest [22][23][24][25].…”