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Gradient descent dynamics in complex energy landscapes, i.e. featuring multiple minima, finds application in many different problems, from soft matter to machine learning. Here, we analyze one of the simplest examples, namely that of soft…

Statistical Mechanics · Physics 2022-08-23 Alessandro Manacorda , Francesco Zamponi

We discuss how one can realize a photonic device that combines synthetic dimensions and synthetic magnetic fields with spatially local interactions. Using an array of ring cavities, the angular coordinate around each cavity spans the…

Quantum Gases · Physics 2017-01-05 Tomoki Ozawa , Iacopo Carusotto

Dynamic localization, which originates from the phenomena of particle evolution suppression under an externally applied AC electric field, has been simulated by suppressed light evolution in periodically-curved photonic arrays. However,…

High dimensional hypothesis test deals with models in which the number of parameters is significantly larger than the sample size. Existing literature develops a variety of individual tests. Some of them are sensitive to the dense and small…

Statistics Theory · Mathematics 2018-08-09 Cheng Zhou , Xinsheng Zhang , Wenxin Zhou , Han Liu

We demonstrate the existence of a fundamentally new type of excitation, fractonic lines, which are line-like excitations with the restricted mobility properties of fractons. These excitations, described using an amalgamation of higher-form…

Strongly Correlated Electrons · Physics 2019-04-08 Shriya Pai , Michael Pretko

The classical dynamics and pulse propagation are presented for a series of lattice-like structures whose spatial dimensionality ranges from one to four: four representing a hyper lattice. The lattices are connected one-dimensional wave…

Mathematical Physics · Physics 2017-03-08 Joseph W. Dickey

Synthetic dimensions, which simulate spatial coordinates using non-spatial degrees of freedom, are drawing interest in topological science and other fields for modelling higher-dimensional phenomena on simple structures. We present the…

Topic of the thesis is a theoretical description of the ultracold atomic gases in one- and two-dimensional optical lattices in the presence of the disorder leading to the Anderson localization. The disorder is created by interaction of the…

Quantum Gases · Physics 2017-07-19 Jan Major

We propose a new scanning transmission electron microscopy (STEM) technique that can realize the three-dimensional (3D) characterization of vacancies, lighter and heavier dopants with high precision. Using multislice STEM imaging and…

Materials Science · Physics 2016-07-12 Jared M. Johnson , Soohyun Im , Jinwoo Hwang

Reduced transport and localization in isolated quantum systems are typically attributed to spatially-extended disorder, but may also emerge from the influence of a few controllable defects. We show here how a single defect profoundly…

Quantum Physics · Physics 2026-05-15 Anish Acharya , Luca Giuggioli , Shamik Gupta

In ultra- and deep-strong cavity quantum electrodynamics (QED) systems, many intriguing phenomena that do not conserve the excitation number are expected to occur. In this study, we theoretically analyze the optical response of an…

Quantum Physics · Physics 2023-02-10 Kazuki Koshino , Tomohiro Shitara , Ziqiao Ao , Kouichi Semba

Certain lattices with specific geometries have one or more spectral bands that are strictly flat, i.e. the electron energy is independent of the momentum. This can occur robustly irrespective of the specific couplings between the lattices…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 Md Nurul Huda , Shawulienu Kezilebieke , Peter Liljeroth

The advent of graphene and other two-dimensional van der Waals materials, with their unique electrical, optical, and thermal properties, has resulted in tremendous progress for fundamental science. Recent developments suggest that taking…

Mesoscale and Nanoscale Physics · Physics 2022-06-27 Alexander A. Balandin , Fariborz Kargar , Tina T. Salguero , Roger K. Lake

Ultracold atoms are crucial for unlocking truly precise and accurate quantum metrology, and provide an essential platform for quantum computing, communication and memories. One of the largest ongoing challenges is the miniaturization of…

Quantum Gases · Physics 2025-01-06 Alan Bregazzi , James P. McGilligan , Paul F. Griffin , Erling Riis , Aidan S. Arnold

Large scale numerical simulations are used to study the elastic dynamics of two-dimensional vortex lattices driven on a disordered medium in the case of weak disorder. We investigate the so-called elastic depinning transition by decreasing…

Statistical Mechanics · Physics 2015-06-12 N. Di Scala , E. Olive , Y. Lansac , Y. Fily , J. C. Soret

We derive exact expressions for the scalar and electromagnetic self-forces and self-torques acting on arbitrary static extended bodies in arbitrary static spacetimes with any number of dimensions. Non-perturbatively, our results are…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Abraham I. Harte , Éanna É. Flanagan , Peter Taylor

Trapping ultracold atoms in optical lattices enabled numerous breakthroughs uniting several disciplines. Coupling these systems to quantized light leads to a plethora of new phenomena and has opened up a new field of study. Here we…

Spatially periodic elastic metamaterials, comprising hard inclusions within a soft matrix in $d$-dimensional space ($d\geq 2$), exhibit a rich spectrum of physical phenomena. This paper investigates such a model and presents the following…

Analysis of PDEs · Mathematics 2025-09-09 Yixian Gao , Shuguan Ji , Shangling Song

The field of laser-matter interaction traditionally deals with the response of atoms, molecules and plasmas to an external light wave. However, the recent sustained technological progress is opening up the possibility of employing intense…

High Energy Physics - Phenomenology · Physics 2012-08-20 A. Di Piazza , C. Müller , K. Z. Hatsagortsyan , C. H. Keitel

We present a simple gedanken experiment in which a compact object traverses a spacetime with three macroscopic spatial dimensions and $n$ compact dimensions. The compactification radius is allowed to vary, as a function of the object's…

General Relativity and Quantum Cosmology · Physics 2023-05-08 Matthew J. Lake , Shi-Dong Liang , Anucha Watcharapasorn