Measurement-based tailoring of Anderson localization of partially coherent light

Svozilík, Jiří; Peřina, Jan; Torres, Juan P.

doi:10.1103/physreva.89.053808

Cited by 4 publications

(5 citation statements)

References 35 publications

(51 reference statements)

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“…Recent path-breaking experimental observations of Photonic localization [10,11] have added additional momentum in this realm. Not only that the localization of light using path-entangled photons [12] and tailoring of partially coherent light [13] have aroused extra inspiration from the realistic point of view. Now several observations regarding the interesting variation of the classic case of the Anderson localization have drawn much attention over the past few years in the context of disordered systems.…”

Section: Introductionmentioning

confidence: 99%

Spectral engineering and tunable thermoelectric behavior in a quasiperiodic ladder network

Mukherjee

Nandy²

2019

Physics Letters A

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Double-stranded quasiperiodic copper mean arrangement has been studied in respect of their electronic property and thermoelectric signature. The two-arm network is demonstrated by a tightbinding Hamiltonian. The eigenspectrum of such aperiodic mesh that does not convey translational invariance, is significantly dependent on the parameters of the Hamiltonian. It is observed that specific correlation between the parameters obtained from the commutation relation between the on-site energy and overlap integral matrices can eventually modify the spectral nature and generate absolutely continuous energy spectrum. This part is populated by atypical extended states that has a large localization length substantiated by the flow of the hopping integral under successive real space renormalization group method steps. This sounds delocalization of single particle energy states in such non-translationally invariant networks. Further this can be engineered at will by selective choice of the relative strengths of the parameters. This precise correlation has a crucial impact on the thermoelectric behavior. Anomalous nature of thermoelectric coefficient may inspire the experimentalists to frame tunable thermo-devices. Specific correlations can help us to tune the continuous band and determine the band position at will.

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Section: Introductionmentioning

confidence: 99%

Spectral engineering and tunable thermoelectric behavior in a quasiperiodic ladder network

Mukherjee

Nandy²

2019

Physics Letters A

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“…The path breaking observation by Anderson [1], over the years, has extended its realm well beyond the electronic properties of disordered solid materials, and has been found out to be ubiquitous in a wide variety of systems. For example, one can refer to the field of localization of light, an idea pioneered about three decades ago by (a) E-mail: arunava chakrabarti@yahoo.co.in Yablonovitch [10] and John [11], and which is being carried forward even recently using path-entangled photons [12] or tailoring of partially coherent light [13]. Localization of phononic [14,15], polaronic [16,17], or plasmonic excitations [18][19][20] has also been studied in detail and has highlighted the general character of the Anderson localization induced by disorder.…”

mentioning

confidence: 99%

“…For example, one can refer to the field of localization of light, an idea pioneered about three decades ago (a) E-mail: arunava chakrabarti@yahoo.co.in by Yablonovitch [10] and John [11], and being carried forward even recently using path-entangled photons [12] or tailoring of partially coherent light [13]. Localization of phononic [14,15], polaronic [16,17], or plasmonic excitations [18][19][20] have also been studied in details and have highlighted the general character of Anderson localization induced by disorder.…”

mentioning

confidence: 99%

Tight-binding chains with off-diagonal disorder: Bands of extended electronic states induced by minimal quasi–one-dimensionality

Nandy

Pal

Chakrabarti

2016

EPL

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-It is shown that, an entire class of off-diagonally disordered linear lattices composed of two basic building blocks and described within a tight binding model can be tailored to generate absolutely continuous energy bands. It can be achieved if linear atomic clusters of an appropriate size are side-coupled to a suitable subset of sites in the backbone, and if the nearest neighbor hopping integrals, in the backbone and in the side-coupled cluster bear a certain ratio. We work out the precise relationship between the number of atoms in one of the building blocks in the backbone, and that in the side-attachment. In addition, we also evaluate the definite correlation between the numerical values of the hopping integrals at different subsections of the chain, that can convert an otherwise point spectrum (or, a singular continuous one for deterministically disordered lattices) with exponentially (or power law) localized eigenfunctions to an absolutely continuous spectrum comprising one or more bands (subbands) populated by extended, totally transparent eigenstates. The results, which are analytically exact, put forward a non-trivial variation of the Anderson localization [P. W. Anderson, Phys. Rev. 109, 1492 (1958)], pointing towards its unusual sensitivity to the numerical values of the system parameters and, go well beyond the other related models such as the Random Dimer Model (RDM) [Dunlap et al., Phys. Rev. Lett. 65, 88 (1990)].Introduction. -Single particle states localize exponentially in a disordered system [1][2][3]. The effect is strongest in one dimension, where there is a complete absence of diffusion irrespective of the strength of disorder [1]. In two dimensions the states retain their exponential decay of amplitude, while in three dimensions a possibility of a metal-insulator transition arises. The results get adequate support from the calculations of the localization length [4,5], density of states [6] and the multi-fractality of the spectra and wave functions of spinless, non-interacting fermionic systems [7][8][9].The path breaking observation by Anderson [1], over the years, has extended its realm well beyond the electronic properties of disordered solid materials, and has been found out to be ubiquitous in a wide variety of systems. For example, one can refer to the field of localization of light, an idea pioneered about three decades ago

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“…In a multiplicity of contexts, light may be confined to propagate on the sites of a discrete lattice, such as those defined by coupled photorefractive [15], semiconductor [16], or fs laser written silica [17] waveguide arrays, random fiber cores [18], coupled optical resonators [19] or photonic-crystal waveguides [20]. Whether classical [15][16][17][18][19][20] or quantum light [21][22][23][24] is utilized, propagation of an extended coherent field along a disordered photonic lattice produces discrete speckle on the lattice sites [Fig. 1(b)] -in contrast to conventional continuous speckle.…”

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confidence: 99%

Discrete Anderson speckle

Kondakci¹,

Abouraddy²,

Saleh³

2015

Optica

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When a disordered array of coupled waveguides is illuminated with an extended coherent optical field, discrete speckle develops: partially coherent light with a granular intensity distribution on the lattice sites. The same paradigm applies to a variety of other settings in photonics, such as imperfectly coupled resonators or fibers with randomly coupled cores. Through numerical simulations and analytical modeling, we uncover a set of surprising features that characterize discrete speckle in oneand two-dimensional lattices known to exhibit transverse Anderson localization. Firstly, the fingerprint of localization is embedded in the fluctuations of the discrete speckle and is revealed in the narrowing of the spatial coherence function. Secondly, the transverse coherence length (or speckle grain size) is frozen during propagation. Thirdly, the axial coherence depth is independent of the axial position, thereby resulting in a coherence voxel of fixed volume independently of position. We take these unique features collectively to define a distinct regime that we call discrete Anderson speckle.

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Measurement-based tailoring of Anderson localization of partially coherent light

Cited by 4 publications

References 35 publications

Spectral engineering and tunable thermoelectric behavior in a quasiperiodic ladder network

Spectral engineering and tunable thermoelectric behavior in a quasiperiodic ladder network

Tight-binding chains with off-diagonal disorder: Bands of extended electronic states induced by minimal quasi–one-dimensionality

Discrete Anderson speckle

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