Nanoscale Stratification of Local Optical Fields in Low-Dimensional Atomic Lattices

Kaplan, A. E.; Volkov, S. N.

doi:10.1103/physrevlett.101.133902

Cited by 16 publications

(57 citation statements)

References 14 publications

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“…However, OB and optical hysteresis remain of considerable interest from the fundamental standpoint as a clear manifestation of a nonlinear light-matter interaction. Some new types of bistability mechanisms have been discussed recently [16][17][18][19]. Besides, the question of OB and hysteresis has received renewed attention in connection with novel hybrid zero-dimensional (0D) nanoscopic systems, e.g., artificial molecules comprising a semiconductor quantum dot (SQD) and metal nanoparticles (see Refs.…”

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confidence: 99%

Condition for resonant optical bistability

Малышев

2012

Phys. Rev. A

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We address a two-level system in an environment interacting with an electromagnetic field in the dipole approximation. The resonant optical bistability induced by local-field effects is studied by considering the relationship between the population difference and the excitation field. The diversity of various systems is included by accounting for system self-action via the surface part of Green's dyadic in the general form. The bistability condition and the exact solution of the steady-state optical Bloch equations at the absolute bistability threshold are derived analytically. Because of its underlying nature and possible applications in the field of all-optical processing, optical bistability (OB) has been a subject of intense experimental and theoretical research . In early studies the use of a saturable absorber to induce OB was suggested [3][4][5][6][7]. The phenomenon was demonstrated experimentally for a cell of sodium vapor enclosed in a Fabry Perot interferometer and excited by a cw dyelaser [8]. Later it was conjectured that local-field corrections alone could give rise to mirrorless OB [9]. This type of bistability was extensively studied [10][11][12][13][14] and observed experimentally [15].The practical interest in all-optical devices faded to some extent as their solid-state counterparts proved to perform better in terms of switching speed and device density. However, OB and optical hysteresis remain of considerable interest from the fundamental standpoint as a clear manifestation of a nonlinear light-matter interaction. Some new types of bistability mechanisms have been discussed recently [16][17][18][19]. Besides, the question of OB and hysteresis has received renewed attention in connection with novel hybrid zero-dimensional (0D) nanoscopic systems, e.g., artificial molecules comprising a semiconductor quantum dot (SQD) and metal nanoparticles (see and references therein).In this paper we address only mirrorless OB induced by local-field effects on a two-level system (TLS) interacting with an electromagnetic field in the dipole approximation. The local-field correction leads to a self-action of the system, which results in a nonlinear relation between the applied field and the one acting on the system. This type of OB mechanism can be relevant for a large variety of systems: dense 3D assemblies of two-level atoms [9,14], optically dense thin films of TLS [24,25] and films of linear molecular aggregates [26][27][28], hybrid metal-semiconductor systems [20][21][22][23], and a more general case of a TLS in an environment involving dielectric and conducting surfaces, such as a stratified medium, a microcavity, or a nanostructure.OB can occur within a range of internal system parameters and external-field intensities; identifying these ranges is therefore an important problem and its analytical solution is desirable. To the best of the author's knowledge, so far * on leave from A. F. Ioffe Physical-Technical Institute, 194021 St. Petersburg, Russia; a.malyshev@fis.ucm.es. it has been solved exactly ...

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confidence: 99%

Condition for resonant optical bistability

Малышев

2012

Phys. Rev. A

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“…This effect is best manifested in small-scale ordered arrays and lattices of atoms at near-resonance conditions, which allow to attain high interaction strength between neighboring atoms and to easily control it by tuning the laser frequency. We have shown [1,2] that when the interaction with neighboring atoms becomes comparable to that with the external field, so that the interaction strength exceeds some critical value, the system will support LF excitations, which we call locsitons. In finite-size arrays and lattices, standing waves of locsitons may form nanoscale strata and complex patterns in the LF (and hence, in the induced atomic dipoles).…”

Section: Introductionmentioning

confidence: 95%

“…A general formulation of the problem and a more detailed theory for 1D arrays was presented in our most recent paper [2]. The present paper is an extension of [1,2] toward the theory of 2D lattices of resonant atoms, which produce a much richer set of effects. We construct here a detailed theory of interactions in the system by developing different 2D versions of the nearest-neighbor approximation (NNA), including the "near-ring" approximation (NRA).…”

Section: Introductionmentioning

confidence: 96%

“…As we have shown in [1,2], this assumption of the LF uniformity is not universally applicable; moreover, it completely falls apart when the uniformity of the atomic lattice is disturbed by impurities, boundaries, etc. Indeed, when the interatomic interactions are sufficiently strong and the system is not very large, highly nonuniform LF distributions emerge, resulting in a strong stratification of the LF and atomic excitations.…”

Section: Introductionmentioning

confidence: 99%

“…Theoretically, strongly interacting resonant particles discussed in [1] do not have to be atoms, but may also be quantum dots, molecules, clusters, etc. However, one has to remember that one of the major conditions for the structure to support the locsitons is that the interaction strength has to exceed a critical value.…”

Section: Introductionmentioning

confidence: 99%

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Local-field excitations in two-dimensional lattices of resonant atoms

Volkov

Kaplan

2010

Phys. Rev. A

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We study excitations of the local field (locsitons) in nanoscale two-dimensional (2D) lattices of strongly interacting resonant atoms and various unusual effects associated with them. Locsitons in low-dimensional systems and the resulting spatial strata and more complex patterns on a scale of just a few atoms were predicted by us earlier [A. E. Kaplan and S. N. Volkov, Phys. Rev. Lett. (2008)]. These effects present a radical departure from the classical Lorentz-Lorenz theory of the local field (LF), which assumes that the LF is virtually uniform on this scale. We demonstrate that the strata and patterns in the 2D lattices may be described as an interference of plane-wave locsitons, build an analytic model for such unbounded locsitons, and derive and analyze dispersion relations for the locsitons in an equilateral triangular lattice. We draw useful analogies between one-dimensional and 2D locsitons, but also show that the 2D case enables locsitons with the most diverse and unusual properties. Using the nearest-neighbor approximation, we find the locsiton frequency band for different mutual orientations of the lattice and the incident field. We demonstrate a formation of distinct vector locsiton patterns consisting of multiple vortices in the LF distribution and suggest a way to design finite 2D lattices that exhibit such patterns at certain frequencies. We illustrate the role of lattice defects in supporting localized locsitons and also demonstrate the existence of "magic shapes", for which the LF suppression at the exact atomic resonance is cancelled. 101, 133902

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Self-collimation and slow light in one-dimensional quasi-periodic structures containing single negative materials

Zhang

Wang

et al. 2014

Optics Communications

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Nanoscale Stratification of Local Optical Fields in Low-Dimensional Atomic Lattices

Cited by 16 publications

References 14 publications

Condition for resonant optical bistability

Condition for resonant optical bistability

Local-field excitations in two-dimensional lattices of resonant atoms

Self-collimation and slow light in one-dimensional quasi-periodic structures containing single negative materials

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