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AIP conference proceedings

Disorder in one-dimensional array of two-level systems coupled to a waveguiding mode

Gleb Fedorovich, Danil Kornovan, Mihail I. Petrov

Published Jan 1, 2020• 0 citations
Publisher

Abstract

In this paper we studied an one-dimensional array of atoms coupled to a single-mode waveguide. The formation of polaritonic states is considered in infinite system with and without account for chiral interactions. The effect of diagonal disorder was studied numerically in a finite atomic array. We showed that in the presence of disorder localized states were observed in a symmetrically coupled atoms along with delocalized states. With increase of the degree of directionality the delocalized states evolved into the end-of-array localized states, while the considered localized states survive till particular degree of directionality.

DOI
10.1063/5.0032487

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In this paper we studied an one-dimensional array of atoms coupled to a single-mode waveguide. The formation of polaritonic states is considered in infinite system with and without account for chiral interactions. The effect of diagonal disorder was studied numerically in a finite atomic array. We showed that in the presence of disorder localized states were observed in a symmetrically coupled atoms along with delocalized states. With increase of the degree of directionality the delocalized states evolved into the end-of-array localized states, while the considered localized states survive till particular degree of directionality.
In this paper we studied a one-dimensional array of quantum emitters asymmetrically coupled due to chiral interaction through a waveguiding mode. We have showed that disorder and coupling asymmetry compete with each other in forming and destroying Anderson localized states. We found that for wide range of the disorder strength there exists certain asymmetry parameter, which destroys the localization of the states. We have also numerically obtained the dependence of the critical asymmetry strength on the amplitude of the disorder. We believe that our findings are important for rapidly developing field of waveguide quantum electrodynamics, where the chiral interactions and disorder play a critical role.
In this work we considered light interaction with two-level quantum systems chirally coupled to a single guided mode with account for a spin-locking effect. The chiral coupling allows achieving asymmetric interaction between the two-level systems, which strongly affects the light scattering of a guided mode of an optical nanofiber by one-dimensional atomic chain. We have also build an analytical model of unidirectional transport of quantum excitation and verified it with modelling of atoms coupled with surface plasmon polariton mode of a metallic nanowire. In particularly, we showed the tolerance of the unidirectionally coupled systems over the positional disorder of the two-level systems.
We study single-photon transport in a one-dimensional disordered lattice of three-level atoms coupled to an optical waveguide. In particular, we study atoms of Λ-type that are capable of exhibiting electromagnetically induced transparency and separately consider disorder in the atomic positions and transition frequencies. We mainly address the question of how preferential emission into waveguide modes (chirality) can influence the formation of spatially localized states. Our work has relevance to experimental studies of cold atoms coupled to nanoscale waveguides and has possible applications to quantum communications.
The atom-waveguide interface mediates significant and long-range light-matter interactions through guided modes. In this one-dimensional system, we theoretically investigate the excitation localization of multiple atomic excitations under strong position disorder. Deep in the localization side, we obtain the time evolutions of quantum correlations via Kubo cumulant expansions, which arise initially and become finite and leveled afterward, overtaking those without disorder. This indicates two distinct regimes in time: before the onset of excitation localization, the disorder engage the disturbance of quantum correlations, which is followed by disorder-assisted buildup of quantum correlations that maintain at a later stage owing to the absence of excitations diffusion. The crossing of distinct regimes is pushed further in time for longer-range correlations, which indicates a characteristic timescale needed for disorder to sustain them. We also explore the effect of directionality of couplings and resonant dipole-dipole interactions, which can drive the system toward the delocalized side when it is under chiral couplings or large dipole-dipole interaction strengths. The time-evolved quantum correlations can give insights into the studies of few-body localization phenomenon and nonequilibrium dynamics in open quantum systems.
One-dimensional quantum emitters with chiral couplings can exhibit nonreciprocal decay channels, along with light-induced dipole-dipole interactions mediated via an atom-waveguide interface. When the position disorders are introduced to such atomic array, we are able to identify the phase transition from excitation delocalization to localization, with an interplay between the directionality of decay rates and the strength of light-induced dipole-dipole interactions. Deep in the localization phase, its characteristic length decreases and saturates toward a reciprocal coupling regime, leading to a system dynamics whose ergodicity is strongly broken. We also find an interaction-driven reentrant behavior of the localization phase and a reduction of level repulsion under strong disorder. The former coincides with a drop in the exponent of power-law decaying von Neumann entropy, which gives insights to a close relation between the preservation of entanglement and nonequilibrium dynamics in open quantum systems, while the latter presents a distinct narrow distribution of gap ratios in this particular disordered system.