Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Anderson localization with second quantized fields in a coupled array of waveguides

Clinton Thompson, Gautam Vemuri, G. S. Agarwal

Published Nov 9, 2010• 55 citations
Publisher

Abstract

We report a theoretical study of Anderson localization of nonclassical light in an array of waveguides in which neighboring waveguides are evanescently coupled and in which the disorder can be added in a controlled manner. We use squeezed light at the input to investigate the effects of nonclassicality and compare the results with those obtained by using conventional classical fields, such as a coherent field and a Gaussian field. Our results show that there is an enhancement in fluctuations of localized light due to the medium's disorder. We find superbunching of the localized light, which may be useful for enhancing the interaction between radiation and matter. Another important consequence of sub-Poissonian statistics of the incoming light is to quench the total fluctuations at the output. Finally, we show that as a result of the multiplicative noise in the problem, the output field is far from Gaussian even if the input is a coherent field.

DOI
10.1103/physreva.82.053805

Related papers

Anderson Localization with Second Quantized Fields: Quantum Statistical Aspects

Clinton Thompson, Gautam Vemuri, G. S. Agarwal

We report a theoretical study of Anderson localization of nonclassical light with emphasis on the quantum statistical aspects of localized light. We demonstrate, from the variance in mean intensity of localized light, as well as site-to-site correlations, that the localized light carries signatures of quantum statistics of input light. For comparison, we also present results for input light with coherent field statistics and thermal field statistics. Our results show that there is an enhancement in fluctuations of localized light due to the medium's disorder. We also find superbunching of the localized light, which may be useful for enhancing the interaction between radiation and matter. Another important consequence of sub-Poissonian statistics of the incoming light is to quench the total fluctuations at the output. Finally, we compare the effects of Gaussian and Rectangular distributions for the disorder, and show that Gaussian disorder accelerates the localization of light.

arXiv:1004.3739•Apr 21, 2010•0 citations

Effect of lattice boundary on Anderson localization of nonclassical light in optical waveguide arrays

Shubradeep Majumder, Amit Rai, Gautam Vemuri

Abstract We study the effect that the boundary of a one-dimensional lattice has on the Anderson localization of nonclassical light in a finite optical waveguide array in which neighboring waveguides are evanescently coupled and controlled disorder is introduced. By investigating the quantum properties of the output when nonclassical light is injected into the waveguide, we show enhancements of localization and quantum features due to the boundary.

Journal of Optics•Sep 5, 2023•1 citation

Nonclassical properties and Anderson localization of quantum states in coupled waveguides

Thais de Lima Silva, Wesley Bueno Cardoso, Ardiley Torres Avelar +1 more

We consider the propagation of light beams through disordered lattices of coupled waveguides searching for Anderson localization and investigating the evolution of nonclassical properties of injected quantum states. We assume that the beam is initially in a variety of states, such as the complementary coherent state, the reciprocal binomial state, and the polynomial state. The statistical properties of the evolved states were analyzed numerically as functions of the localization and delocalization parameters averaged over many realizations of disorder. We also numerically reconstruct the Wigner function of the output state. Interestingly, we find that high values of disorder tend to preserve the quantum properties of some input states when we look at the input waveguide despite of the coupling between it and the neighboring waveguides.

arXiv:2108.04844•Physical Review A•Feb 15, 2022•7 citations

Transport and quantum walk of nonclassical light in coupled waveguides

Amit Rai, G. S. Agarwal, Jacques H. H. Perk

We study the transport and quantum walk of nonclassical light in an array of coupled waveguides which have properties like very low decoherence and thus making them ideal for storage of quantum information. We show how squeezing gets turned over from one waveguide to another. We further show how input nonclassical light can generate entanglement among different waveguides. Our results, which are valid for an arbitrary number of waveguides, involve both first quantization due to array structure and second quantization due to the quantum nature of fields and can also be used to discuss the Talbot effect in the quantum regime.

arXiv:0807.3063•Physical Review A•Oct 8, 2008•79 citations

Effect of lattice topology on photon statistics

Bahaa E. A. Saleh, H. Esat Kondakci, Ayman F. Abouraddy

Coherent light traversing disordered media usually attains a random field both in amplitude and phase with independent Gaussian statistics and results in thermal light (associated with Bose-Einstein photon-number statistics) upon ensemble averaging. This is expected according to the central limit theorem, which dictates the addition of a large number of independent random variables leads to a normal (Gaussian) distribution. Here, we show that certain network topologies that light travels within preclude the central limit theorem and result in non-Gaussian statistics. We realize such networks in the form of evanescently-coupled waveguide arrays (photonic lattices) and obtain the photon statistics at the output by time gating and averaging over multiple realizations of disordered photonic lattices. The effect of lattice topology, however, only exists when the photonic lattice is endowed with chiral-symmetric eigenmode pairs a disorder-immune symmetry where the eigenmodes appear in pairs with oppositely signed eigenvalues and the coherent input field satisfies certain conditions. We specifically examine one-dimensional arrays of randomly coupled identical waveguides (off-diagonal disorder) arranged on linear and ring topologies. The emerging field exhibits super-thermal statistics (associated with modified Bose-Einstein photon-number statistics) only for ring lattices with even parity and linear lattices (independent of its parity), whereas input coherent fields traversing ring lattices with odd parity attain sub-thermal statistics. By controlling the relative phase of a coherent input field exciting two neighboring lattice sites, we also demonstrate a deterministic tuning of photon-number statistics, namely photon bunching, while maintaining the mean photon number fixed.

Advanced Photon Counting Techniques•May 14, 2018•1 citation

Light-atom interaction: mean-field approach and intensity fluctuations

Florent Cottier

In this thesis, we investigate the coherent scattering of light propagating in a random medium.We are interested in phenomena like the super-and subradiance and Anderson localization that are related to waves interferences and spatial disorder.However, the fundamental difference between subradiance and Anderson localization still needs to be clarified.This thesis gives new elements for the understanding of these phenomena and we present a new method to observe Anderson localization.A mean-field model that does not contain disorder is developed, and we show that super-and subradiance do not require disorder whereas Anderson localization does.In this theoretical work, the coupling between the light and many atoms is reduced to a coupling matrix between the atoms by tracing over the degrees of freedom of the light, which results in a linear problem for the atomic dipoles.The study of the eigenvalues and eigenmodes of this matrix then allows to determine the super-and subradiant modes, and to probe the Anderson localization phase transition with a scaling analysis.Furthermore, the link to the experiment is realized by showing that the intensity fluctuations present an increase at the localization transition.The system is studied in the steady-state regime when the medium is continuously charged by a laser until reaches a stationary regime, and the decay dynamics, when the laser is switched off, so the cloud releases the energy stored.Finally, we present a preliminary work that shows that the diagonal disorder might be a good strategy to reach Anderson localization.

•May 28, 2019•0 citations
We report a theoretical study of Anderson localization of nonclassical light in an array of waveguides in which neighboring waveguides are evanescently coupled and in which the disorder can be added in a controlled manner. We use squeezed light at the input to investigate the effects of nonclassicality and compare the results with those obtained by using conventional classical fields, such as a coherent field and a Gaussian field. Our results show that there is an enhancement in fluctuations of localized light due to the medium's disorder. We find superbunching of the localized light, which may be useful for enhancing the interaction between radiation and matter. Another important consequence of sub-Poissonian statistics of the incoming light is to quench the total fluctuations at the output. Finally, we show that as a result of the multiplicative noise in the problem, the output field is far from Gaussian even if the input is a coherent field.
We report a theoretical study of Anderson localization of nonclassical light with emphasis on the quantum statistical aspects of localized light. We demonstrate, from the variance in mean intensity of localized light, as well as site-to-site correlations, that the localized light carries signatures of quantum statistics of input light. For comparison, we also present results for input light with coherent field statistics and thermal field statistics. Our results show that there is an enhancement in fluctuations of localized light due to the medium's disorder. We also find superbunching of the localized light, which may be useful for enhancing the interaction between radiation and matter. Another important consequence of sub-Poissonian statistics of the incoming light is to quench the total fluctuations at the output. Finally, we compare the effects of Gaussian and Rectangular distributions for the disorder, and show that Gaussian disorder accelerates the localization of light.
We consider the propagation of light beams through disordered lattices of coupled waveguides searching for Anderson localization and investigating the evolution of nonclassical properties of injected quantum states. We assume that the beam is initially in a variety of states, such as the complementary coherent state, the reciprocal binomial state, and the polynomial state. The statistical properties of the evolved states were analyzed numerically as functions of the localization and delocalization parameters averaged over many realizations of disorder. We also numerically reconstruct the Wigner function of the output state. Interestingly, we find that high values of disorder tend to preserve the quantum properties of some input states when we look at the input waveguide despite of the coupling between it and the neighboring waveguides.
We study the transport and quantum walk of nonclassical light in an array of coupled waveguides which have properties like very low decoherence and thus making them ideal for storage of quantum information. We show how squeezing gets turned over from one waveguide to another. We further show how input nonclassical light can generate entanglement among different waveguides. Our results, which are valid for an arbitrary number of waveguides, involve both first quantization due to array structure and second quantization due to the quantum nature of fields and can also be used to discuss the Talbot effect in the quantum regime.
Coherent light traversing disordered media usually attains a random field both in amplitude and phase with independent Gaussian statistics and results in thermal light (associated with Bose-Einstein photon-number statistics) upon ensemble averaging. This is expected according to the central limit theorem, which dictates the addition of a large number of independent random variables leads to a normal (Gaussian) distribution. Here, we show that certain network topologies that light travels within preclude the central limit theorem and result in non-Gaussian statistics. We realize such networks in the form of evanescently-coupled waveguide arrays (photonic lattices) and obtain the photon statistics at the output by time gating and averaging over multiple realizations of disordered photonic lattices. The effect of lattice topology, however, only exists when the photonic lattice is endowed with chiral-symmetric eigenmode pairs a disorder-immune symmetry where the eigenmodes appear in pairs with oppositely signed eigenvalues and the coherent input field satisfies certain conditions. We specifically examine one-dimensional arrays of randomly coupled identical waveguides (off-diagonal disorder) arranged on linear and ring topologies. The emerging field exhibits super-thermal statistics (associated with modified Bose-Einstein photon-number statistics) only for ring lattices with even parity and linear lattices (independent of its parity), whereas input coherent fields traversing ring lattices with odd parity attain sub-thermal statistics. By controlling the relative phase of a coherent input field exciting two neighboring lattice sites, we also demonstrate a deterministic tuning of photon-number statistics, namely photon bunching, while maintaining the mean photon number fixed.
In this thesis, we investigate the coherent scattering of light propagating in a random medium.We are interested in phenomena like the super-and subradiance and Anderson localization that are related to waves interferences and spatial disorder.However, the fundamental difference between subradiance and Anderson localization still needs to be clarified.This thesis gives new elements for the understanding of these phenomena and we present a new method to observe Anderson localization.A mean-field model that does not contain disorder is developed, and we show that super-and subradiance do not require disorder whereas Anderson localization does.In this theoretical work, the coupling between the light and many atoms is reduced to a coupling matrix between the atoms by tracing over the degrees of freedom of the light, which results in a linear problem for the atomic dipoles.The study of the eigenvalues and eigenmodes of this matrix then allows to determine the super-and subradiant modes, and to probe the Anderson localization phase transition with a scaling analysis.Furthermore, the link to the experiment is realized by showing that the intensity fluctuations present an increase at the localization transition.The system is studied in the steady-state regime when the medium is continuously charged by a laser until reaches a stationary regime, and the decay dynamics, when the laser is switched off, so the cloud releases the energy stored.Finally, we present a preliminary work that shows that the diagonal disorder might be a good strategy to reach Anderson localization.