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We study the trap depth requirement for the realization of an optical clock using atoms confined in a lattice. We show that site-to-site tunnelling leads to a residual sensitivity to the atom dynamics hence requiring large depths (50 to…

Atomic Physics · Physics 2007-05-23 Pierre Lemonde , Peter Wolf

Increasing coherent interrogation times is central to advancing the precision of optical clocks. Synchronous differential optical clock comparisons have now demonstrated atomic coherence times that far exceed the coherence time of the clock…

In this article, we present an analysis of the stability of optical lattices. Starting with the study of an unstable optical lattice, we establish a necessary and sufficient condition for intrinsic phase stability, and discuss two practical…

Atomic Physics · Physics 2007-05-23 G. Di Domenico , N. Castagna , M. D. Plimmer , P. Thomann , A. V. Taichenachev , V. I. Yudin

Recent experiments have revealed the tantalizing possibility of fabricating lattice electronic systems strongly coupled to quantum fluctuations of electromagnetic fields, e.g., by means of geometry confinement from a cavity or artificial…

Strongly Correlated Electrons · Physics 2022-05-03 Jiajun Li , Lukas Schamriß , Martin Eckstein

We propose to use sub-wavelength confinement of light associated with the near field of plasmonic systems to create nanoscale optical lattices for ultracold atoms. Our approach combines the unique coherence properties of isolated atoms with…

Atomic Physics · Physics 2014-07-29 M. Gullans , T. Tiecke , D. E. Chang , J. Feist , J. D. Thompson , J. I. Cirac , P. Zoller , M. D. Lukin

We study both experimentally and theoretically the losses induced by parametric excitation in far-off-resonance optical lattices. The atoms confined in a 1D sinusoidal lattice present an excitation spectrum and dynamics substantially…

Atomic Physics · Physics 2009-11-07 R. Jáuregui , N. Poli , G. Roati , G. Modugno

Macroscopic ensembles of radiating dipoles are ubiquitous in the physical and natural sciences. In the classical limit the dipoles can be described as damped-driven oscillators, which are able to spontaneously synchronize and collectively…

Integrated Jx photonic lattices, inspired by the quantum harmonic oscillator and due to their equidistant eigenvalue spectrum, have been proven extremely useful for various applications, such as perfect imaging and coherent transfer of…

Optics · Physics 2025-01-10 Tom A. W. Wolterink , Matthias Heinrich , Alexander Szameit

We develop a method of spectroscopy that uses a weak static magnetic field to enable direct optical excitation of forbidden electric-dipole transitions that are otherwise prohibitively weak. The power of this scheme is demonstrated using…

Atomic Physics · Physics 2009-11-11 A. V. Taichenachev , V. I. Yudin , C. W. Oates , C. W. Hoyt , Z. W. Barber , L. Hollberg

Lattices with minimal normalized second moments are designed using a new numerical optimization algorithm. Starting from a random lower-triangular generator matrix and applying stochastic gradient descent, all elements are updated towards…

Information Theory · Computer Science 2025-07-24 Erik Agrell , Daniel Pook-Kolb , Bruce Allen

We trap atoms in versatile two-dimensional (2D) arrays of optical potentials, prepare flexible 2D spin configurations, perform site-selective coherent manipulation, and demonstrate the implementation of simultaneous measurements of…

Quantum Physics · Physics 2011-02-18 Jens Kruse , Christian Gierl , Malte Schlosser , Gerhard Birkl

Cold atom optical lattices allow for the study of quantum localization and mobility edges in a disorder-free environment. We predict the existence of an Anderson-like insulator with sharp mobility edges in a one-dimensional nearly-periodic…

Other Condensed Matter · Physics 2009-11-11 V. W. Scarola , S. Das Sarma

A periodic lattice in Euclidean space is the infinite set of all integer linear combinations of basis vectors. Any lattice can be generated by infinitely many different bases. This ambiguity was only partially resolved, but standard…

Metric Geometry · Mathematics 2022-03-29 Vitaliy Kurlin

We investigate the phase diagrams of two-dimensional lattice dipole systems with variable geometry. For bipartite square and triangular lattices with tunable vertical sublattice separation, we find rich phase diagrams featuring a sequence…

Quantum Gases · Physics 2012-02-28 Y. Sherkunov , Vadim V. Cheianov , Vladimir Fal'ko

Optical lattices play a significant role in the field of cold atom physics, particularly in quantum simulations. Varying the lattice period is often a useful feature, but it presents the challenge of maintaining lattice phase stability in…

With the recent production of polar molecules in the quantum regime, long-range dipolar interactions are expected to facilitate the understanding of strongly interacting many-body quantum systems and to realize lattice spin models for…

We develop a model to describe the motional (i.e., external degree of freedom) energy spectra of atoms trapped in a one-dimensional optical lattice, taking into account both axial and radial confinement relative to the lattice axis. Our…

Atomic Physics · Physics 2020-05-13 K. Beloy , W. F. McGrew , X. Zhang , D. Nicolodi , R. J. Fasano , Y. S. Hassan , R. C. Brown , A. D. Ludlow

The recent advances in creating nearly degenerate quantum dipolar gases in optical lattices are opening the doors for the exploration of equilibrium physics of quantum systems with anisotropic and long-range dipolar interactions. In this…

Quantum Gases · Physics 2016-01-20 C. Zhang , A. Safavi-Naini , Ana Maria Rey , B. Capogrosso-Sansone

We propose a scheme to generate an arbitrary Abelian vector potential for atoms trapped in a two-dimensional optical lattice. By making the optical lattice potential dependent on the atomic state, we transform the problem into that of a…

Quantum Physics · Physics 2011-12-23 Jaeyoon Cho , M. S. Kim

Arrays of atomic emitters have proven to be a promising platform to manipulate and engineer optical properties, due to their efficient cooperative response to near-resonant light. Here, we theoretically investigate their use as an efficient…

Quantum Physics · Physics 2025-05-30 Francesco Andreoli , Charlie-Ray Mann , Alexander A. High , Darrick E. Chang