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We describe a way to obtain a two-dimensional quasiperiodic tiling with eight-fold symmetry using cold atoms. A series of such optical tilings, related by scale transformations, is obtained for a series of specific values of the chemical…

Quantum Gases · Physics 2016-09-29 Nicolas Macé , Anuradha Jagannathan , Michel Duneau

The observed robustly quantized Hall conductance in quantum Hall systems and Chern insulators (CI) have so far been understood in terms of the topology of isolated systems, which are not coupled to leads. It is assumed that the leads act as…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 Satyam Sinha , Rekha Kumari , Junaid Majeed Bhat , Abhishek Dhar , R. Shankar

A semi-analytical approach to atomic waveguide scattering for harmonic confinement is developed taking into account all partial waves. As a consequence $\ell$-wave confinement-induced resonances are formed being coupled to each other due to…

Quantum Gases · Physics 2015-06-05 P. Giannakeas , F. K. Diakonos , P. Schmelcher

This letter presents a near-field flat-top beam synthesis method based on a semi-closed-form approach. First, the feasibility of achieving a flat-top beam in the near field is examined using a closed-form analysis. A circular concentric…

Optics · Physics 2025-06-10 Jiawang Li

We have added an optical potential to a conventional Time-averaged Orbiting Potential (TOP) trap to create a highly anisotropic hybrid trap for ultracold atoms. Axial confinement is provided by the optical potential; the maximum frequency…

Other Condensed Matter · Physics 2009-11-10 N. L. Smith , W. H. Heathcote , G. Hechenblaikner , E. Nugent , C. J. Foot

We are concerned with the inverse scattering problem of extracting the geometric structures of an unknown/inaccessible inhomogeneous medium by using the corresponding acoustic far-field measurement. Using the intrinsic geometric properties…

Analysis of PDEs · Mathematics 2017-06-15 Jingzhi Li , Xiaofei Li , Hongyu Liu

In the field of optics, bound state in the continuum (BIC) has been researched in many photonic crystals and periodic structures due to a strong resonance and an ultrahigh Q factor. Some designs of narrowband transmission filters, lasers,…

Optics · Physics 2022-04-26 Yuhang Ruan , Jicheng Wang , Zheng-Da Hu , Yixiang Wang

Utilising the fact that the frequency response of a material can be decomposed into the quasi-normal modes supported by the system, we present two methods to directly manipulate the complex frequencies of quasi-normal modes in the complex…

Optics · Physics 2022-11-30 James R Capers , Dean A Patient , Simon A R Horsley

Individualized head-related impulse responses (HRIRs) enable binaural rendering, but dense per-listener measurements are costly. We address HRIR spatial up-sampling from sparse per-listener measurements: given a few measured HRIRs for a…

Audio and Speech Processing · Electrical Eng. & Systems 2026-03-31 Shaoheng Xu , Chunyi Sun , Jihui Zhang , Amy Bastine , Prasanga N. Samarasinghe , Thushara D. Abhayapala , Hongdong Li

Many-electron systems confined to a quasi-1D geometry by a cylindrical distribution of positive charge have been investigated by density functional computations in the unrestricted local spin density approximation. Our investigations have…

Mesoscale and Nanoscale Physics · Physics 2010-08-27 R. Cortes-Huerto M. Paternostro P. Ballone

We suggest that electromagnetic chirality, generally displayed by 3D or 2D complex chiral structures, can occur in 1D patterned composites whose components are achiral. This feature is highly unexpected in a 1D system which is geometrically…

Optics · Physics 2015-08-05 Carlo Rizza , Andrea Di Falco , Michael Scalora , Alessandro Ciattoni

The engineering of light confinement is a topic with a long history in optics and with significant implications for the control of light-matter interaction. In inhomogeneous and disordered media, however, multiple scattering prevents the…

Optics · Physics 2021-11-29 I. Krešić , K. G. Makris , S. Rotter

We study a two-dimensional (2D) tight-binding model of a topological crystalline insulator (TCI) protected by rotation symmetry. The model is built by stacking two Chern insulators with opposite Chern numbers which transform under conjugate…

Mesoscale and Nanoscale Physics · Physics 2019-07-22 Shang Liu , Ashvin Vishwanath , Eslam Khalaf

We provide an alternative characterization of two-dimensional locality (necessary e.g. to define the Hall conductivity of a Fermi projection) using the spectral projections of the Laughlin flux operator. Using this abstract…

Mathematical Physics · Physics 2024-06-11 Jui-Hui Chung , Jacob Shapiro

One-dimensional systems of interacting atoms are an ideal laboratory to study the Kosterlitz-Thouless phase transition. In the renormalization group picture there is essentially a two-parameter phase diagram to explore. We first present how…

Quantum Gases · Physics 2013-07-01 Thierry Jolicoeur , Evgeni Burovski , Giuliano Orso

We develop, based on Baxter's corner transfer matrices, a renormalizable numerically exact method for computation of the level density of the quasi-energy spectra of two-dimensional (2D) locally interacting many-body Floquet systems. We…

Statistical Mechanics · Physics 2016-05-25 Ivan Kukuljan , Tomaz Prosen

Compressive sensing (CS) is a new technology which allows the acquisition of signals directly in compressed form, using far fewer measurements than traditional theory dictates. Recently, many so-called signal space methods have been…

Numerical Analysis · Mathematics 2015-11-13 Xiaoyi Gu , Deanna Needell , Shenyinying Tu

We tune the dimensionality of pancake-shaped strongly-interacting $^6$Li Fermi gas clouds from two-dimensional (2D) to quasi-2D, by controlling the ratio of the radial Fermi energy $E_F$ to the harmonic oscillator energy $h\nu_z$ in the…

Quantum Gases · Physics 2016-11-03 Chingyun Cheng , J. Kangara , I. Arakelyan , J. E. Thomas

We suggest the numerical approach to detect eigenfrequencies of trapped modes in waveguides or guided waves in diffraction gratings. At the same time, the approach works perfectly for computation of systems with finitely many scattering…

Quantum Physics · Physics 2007-05-23 Valery E. Grikurov

Scattering-type scanning near-field optical microscopy is a powerful imaging technique for studying materials beyond the diffraction limit. However, interpreting near-field measurements poses challenges in mapping the response of…

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