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An optical ring resonator with third-order, or Kerr, nonlinearity will exhibit symmetry breaking between the two counterpropagating circulating powers when pumped with sufficient power in both the clockwise and counterclockwise directions.…

Optics · Physics 2019-12-19 Jonathan M. Silver , Kenneth T. V. Grattan , Pascal Del'Haye

The presence of disorder can severely impede wave transport, resulting in the famous Anderson localization. Previous theoretical studies found that Anderson transition can exist in one-dimensional (1D) non-Hermitian disordered rings with…

Applied Physics · Physics 2025-02-13 Wei Wang , Xulong Wang , Guancong Ma

We study numerically the ground state properties of the Cooper problem in the three-dimensional Anderson model. It is shown that attractive interaction creates localized pairs in the metallic noninteracting phase. This localization is…

Condensed Matter · Physics 2015-02-17 J. Lages , D. L. Shepelyansky

Mobility edges, separating localized from extended states, are known to arise in the single-particle energy spectrum of disordered systems in dimension strictly higher than two and certain quasiperiodic models in one dimension. Here we…

Disordered Systems and Neural Networks · Physics 2022-01-25 Tong Liu , Xu Xia , Stefano Longhi , Laurent Sanchez-Palencia

The states of an open quantum system interact ("talk") with one another via the extended environment into which the localized system is embedded. This interaction is mediated by the source term of the Schr\"odinger equation which describes…

Quantum Physics · Physics 2015-12-22 Hichem Eleuch , Ingrid Rotter

The localization behavior of the Anderson model with anisotropic hopping integral t for weakly coupled planes and weakly coupled chains is investigated both numerically with the transfer matrix method and analytically within the…

Condensed Matter · Physics 2009-10-30 Qiming Li , C. M. Soukoulis , I. Zambetaki , E. N. Economou

Three-dimensional random electron systems undergo quantum phase transitions and show rich phase diagrams. Examples of the phases are the band gap insulator, Anderson insulator, strong and weak topological insulators, Weyl semimetal, and…

Disordered Systems and Neural Networks · Physics 2017-03-16 Tomi Ohtsuki , Tomoki Ohtsuki

Optomechanical systems provide a unique platform for observing quantum behavior of macroscopic objects. However, efforts towards realizing nonlinear behavior at the single photon level have been inhibited by the small size of the radiation…

Quantum Physics · Physics 2015-01-14 Xunnong Xu , Michael Gullans , Jacob M. Taylor

In linear disordered systems Anderson localization makes any wave packet stay localized for all times. Its fate in nonlinear disordered systems is under intense theoretical debate and experimental study. We resolve this dispute showing that…

Disordered Systems and Neural Networks · Physics 2015-05-30 M. V. Ivanchenko , T. V. Laptyeva , S. Flach

We investigate symmetry restoration and spatially localized dynamics in a non-Hermitian optical trimer composed of three lossy waveguides with complex-valued couplings. Extending our previous analysis of the system's global bifurcation…

Optics · Physics 2026-05-29 Johanne Hizanidis , Konstantinos G. Makris

Multipartite entangled states of continuous variables are fundamental resources for scalable quantum information processing. We study the correlation hierarchy in a tripartite state engineered by mixing a two-mode squeezed vacuum with a…

Quantum Physics · Physics 2026-02-10 Jifeng Sun , Shumin Yang , Teng Zhao , Qingqian Kang , Liyun Hu

We consider the change in electron localization due to the presence of electron-electron repulsion in the \HA model. Taking into account local Mott-Hubbard physics and static screening of the disorder potential, the system is mapped onto an…

Disordered Systems and Neural Networks · Physics 2008-12-28 Peter Henseler , Johann Kroha , Boris Shapiro

Anderson localization (AL) is a ubiquitous interference phenomenon in which waves fail to propagate in a disordered medium. We observe three-dimensional AL of noninteracting ultracold matter by allowing a spin-polarized atomic Fermi gas to…

Quantum Gases · Physics 2011-10-12 S. S. Kondov , W. R. McGehee , J. J. Zirbel , B. DeMarco

In [\href{http://www.sciencedirect.com/science/article/pii/037596019290711T}{Phys. Lett. A {\bf 166}, 293 (1992)}] Popescu characterized nonlocality of pure $n$-partite entangled systems by studying bipartite violation of local realism when…

Realizing systems that support robust, controlled interactions between individual photons is an exciting frontier of nonlinear optics. To this end, one approach that has emerged recently is to leverage atomic interactions to create strong…

Quantum Physics · Physics 2016-08-11 James S. Douglas , Tommaso Caneva , Darrick E. Chang

We study the formation of spontaneous spin polarization in inhomogeneous electron systems with pair interaction localized in a small region that is not separated by a barrier from surrounding gas of non-interacting electrons. Such a system…

Mesoscale and Nanoscale Physics · Physics 2015-02-17 Vladimir A. Sablikov , Bagun S. Shchamkhalova

Within self-consistent field theory we study the phase behaviour of a symmetric binary AB polymer blend confined into a thin film. The film surfaces interact with the monomers via short range potentials. One surface attracts the A component…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , K. Binder , E. V. Albano

Optomechanical arrays are a promising future platform for studies of transport, many-body dynamics, quantum control and topological effects in systems of coupled photon and phonon modes. We introduce disordered optomechanical arrays,…

Mesoscale and Nanoscale Physics · Physics 2017-09-15 Thales Figueiredo Roque , Vittorio Peano , Oleg M. Yevtushenko , Florian Marquardt

Disorder or sufficiently strong interactions can render a metallic state unstable causing it to turn into an insulating one. Despite the fact that the interplay of these two routes to a vanishing conductivity has been a central research…

Strongly Correlated Electrons · Physics 2016-10-07 Andrey E. Antipov , Younes Javanmard , Pedro Ribeiro , Stefan Kirchner

Diverse equilibrium systems with heterogeneous interactions lie at the edge of stability. Such marginally stable states are dynamically selected as the most abundant ones or as those with the largest basins of attraction. On the other hand,…

Disordered Systems and Neural Networks · Physics 2025-10-10 Carles Martorell , Rubén Calvo , Alessia Annibale , Miguel A. Muñoz
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