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We present a general and non-invasive probing scheme to perform full momentum-resolved spectroscopy of a cold atomic gas loaded into an optical lattice using a single quantum impurity. The protocol relies on weak collisional interactions…

Quantum Physics · Physics 2018-11-07 Francesco Cosco , Massimo Borrelli , Francesco Plastina , Sabrina Maniscalco

We prove that the $E_8$ root lattice and the Leech lattice are universally optimal among point configurations in Euclidean spaces of dimensions $8$ and $24$, respectively. In other words, they minimize energy for every potential function…

Metric Geometry · Mathematics 2022-06-13 Henry Cohn , Abhinav Kumar , Stephen D. Miller , Danylo Radchenko , Maryna Viazovska

We present and analyze mechanisms for the patterned deposition of particles in a spatio-temporally driven lattice. The working principle is based on the breaking of the spatio-temporal translation symmetry, which is responsible for the…

Chaotic Dynamics · Physics 2013-11-06 Benno Liebchen , Christoph Petri , Florian Lenz , Peter Schmelcher

We demonstrate the directed transport of underdamped particles in two dimensional lattices of arbitrary geometry driven by an unbiased ac-driving force. The direction of transport can be controlled via the lattice geometry as well as the…

Statistical Mechanics · Physics 2020-03-18 Aritra K. Mukhopadhyay , Peter Schmelcher

In this paper we suggest a simple analytical method for description of electromagnetic properties of a geometrically regular two-dimensional subwavelength arrays (metasurfaces) formed by particles with randomly fluctuating polarizabilities.…

We study optical coefficients that characterize wave propagation through layered structures called plasmonic crystals. These consist of a finite number of stacked metallic sheets embedded in dielectric hosts with a subwavelength spacing. By…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Matthias Maier , Mitchell Luskin , Dionisios Margetis

We map certain highly correlated electron systems on lattices with geometrical frustration in the motion of added particles or holes to the spatial defect-defect correlations of dimer models in different geometries. These models are studied…

Strongly Correlated Electrons · Physics 2007-05-23 F. Pollmann , J. J. Betouras , E. Runge

We study Dicke superradiance as collective and coherent absorption and (time-delayed) emission of photons from an ensemble of ultracold atoms in an optical lattice. Since this process depends on the coherence properties of the atoms (e.g.,…

Quantum Physics · Physics 2016-03-29 Nicolai ten Brinke , Ralf Schützhold

In this paper, a geometrical interpretation of light diffraction is given using an infinity of fluctuating geodesics that represent paths of least time in an homogeneous space. Without using the wave theory, we provide a geometrical…

General Physics · Physics 2014-11-04 Faycal Ben Adda

We consider a finite, disordered 1D quantum lattice with a side-attached impurity. We study theoretically the transport of a single electron from the impurity into the lattice, at zero temperature. The transport is dominated by Anderson…

Mesoscale and Nanoscale Physics · Physics 2018-08-15 Bradley Magnetta , Gonzalo Ordonez , Savannah Garmon

We suggest two metrics for assessing the quality of atomistic configurations of disordered materials, both of which are based on quantifying the orientational distribution of neighbours around each atom in the configuration. The first…

Materials Science · Physics 2012-11-20 Matthew J. Cliffe , Andrew L. Goodwin

We determine the transmission of light through a planar atomic array beyond the limit of low light intensity that displays optical bistability in the mean-field regime. We develop a theory describing the intrinsic optical bistability, which…

Atomic Physics · Physics 2021-03-18 C. D. Parmee , J. Ruostekoski

When thermal energies are weak, two dimensional lamellar structures confined on a curved substrate display complex patterns arising from the competition between layer bending and compression in the presence of geometric constraints. We…

Soft Condensed Matter · Physics 2009-11-18 R. D. Kamien , D. R. Nelson , C. D. Santangelo , V. Vitelli

Body-centered Cubic (BCC) lattice structures demonstrate promising performance for applications that require simultaneous mechanical energy absorption and thermal management. However, current optimization approaches are typically confined…

Other Condensed Matter · Physics 2026-02-20 Jaswanth V Gurudev , Ratna Kumar Annabattula

Crystallographic defects play a key role in determining the properties of crystalline materials. The new class of two-dimensional materials, foremost graphene, have enabled atomically resolved studies of defects, such as vacancies, grain…

Materials Science · Physics 2015-06-22 Ossi Lehtinen , Nilesh Vats , Gerardo Algara-Siller , Pia Knyrim , Ute Kaiser

We experimentally investigate the role of localization on the adiabaticity of loading a Bose-Einstein condensate into a one-dimensional optical potential comprised of a shallow primary lattice plus one or two perturbing lattice(s) of…

Atomic Physics · Physics 2009-11-13 E. E. Edwards , M. Beeler , Tao Hong , S. L. Rolston

Ordered atomic arrays with subwavelength lattice spacing emit light collectively. For fully inverted atomic arrays, this results in an initial burst of radiation and a fast build up of coherences between the atoms at initial times. Based on…

Quantum Physics · Physics 2024-04-30 Oriol Rubies-Bigorda , Stefan Ostermann , Susanne F. Yelin

Achieving quantum-limited motional control of optically trapped particles beyond the sub-micrometer scale is an outstanding problem in levitated optomechanics. A key obstacle is solving the light scattering problem and identifying particle…

Optics · Physics 2025-07-15 Moosung Lee , Benjamin A. Stickler , Thomas Pertsch , Sungkun Hong

We introduce a general method for designing tailored lattices of magnetic microtraps for ultracold atoms, on the basis of patterned permanently magnetized films. A fast numerical algorithm is used to automatically generate patterns which…

Quantum Physics · Physics 2010-10-19 Roman Schmied , Dietrich Leibfried , Robert J. C. Spreeuw , Shannon Whitlock

Using the Green's function method, we study the effect of an impurity potential on the electronic structure of the honeycomb lattice in the one-band tight-binding model that contains both the nearest neighbor ($t$) and the second neighbor…

Mesoscale and Nanoscale Physics · Physics 2011-08-22 Mohammad Sherafati , Sashi Satpathy
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