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In one-dimensional quantum lattice models with open boundaries, we find and study localization at the lattice edge. We show that edge-localized eigenstates can be found in both bosonic and fermionic systems, specifically, in the…

Other Condensed Matter · Physics 2009-06-10 Ricardo A. Pinto , Masudul Haque , Sergej Flach

The Hubbard model is investigated in the framework of lattice density functional theory (LDFT). The single-particle density matrix $\gamma_{ij}$ with respect the lattice sites is considered as the basic variable of the many-body problem. A…

Strongly Correlated Electrons · Physics 2009-11-10 R. Lopez-Sandoval , G. M. Pastor

We study the collapse and revival of interference patterns in the momentum distribution of atoms in optical lattices, using a projection technique to properly account for the fixed total number of atoms in the system. We consider the common…

Quantum Gases · Physics 2011-06-21 J. Schachenmayer , A. J. Daley , P. Zoller

Recent advances in spin-dependent optical lattices [Meng et al., Nature \textbf{615}, 231 (2023)] have enabled the experimental implementation of two superimposed three-dimensional lattices, presenting new opportunities to investigate…

Quantum Gases · Physics 2025-04-04 Ce Wang , Chao Gao , Zhe-Yu Shi

We study a means of creating multiparticle entanglement of neutral atoms using pairwise controlled dipole-dipole interactions in a three dimensional optical lattice. For tightly trapped atoms the dipolar interaction energy can be much…

Quantum Physics · Physics 2009-10-31 G. K. Brennen , I. H. Deutsch , P. S. Jessen

We discuss how a lattice Schwinger model can be realized in a linear ion trap, allowing a detailed study of the physics of Abelian lattice gauge theories related to one-dimensional quantum electrodynamics. Relying on the rich…

Quantum Gases · Physics 2013-12-06 Philipp Hauke , David Marcos , Marcello Dalmonte , Peter Zoller

Precision interferometry with atomic wavepackets confined in a one-dimensional optical lattice is an emergent paradigm in quantum sensing of forces and fields, with applications in gravimetry, accelerometry, geophysics, and fundamental…

Quantum Gases · Physics 2026-05-28 Emmett Hough , Tahiyat Rahman , Forest Tschirhart , Subhadeep Gupta

We propose a method to probe the local density of states (LDOS) of atomic systems that provides both spatial and energy resolution. The method combines atomic and tunneling techniques to supply a simple, yet quantitative and operational,…

Mesoscale and Nanoscale Physics · Physics 2018-11-22 Daniel Gruss , Chih-Chun Chien , Julio Barreiro , Massimiliano Di Ventra , Michael Zwolak

A controversy exists among literature reports of constraints on elastic constants. In particular, it has been reported that embedded atom method (EAM) potentials generally impose three constraints on elastic constants of crystals that are…

Materials Science · Physics 2012-10-29 L. G. Zhou , Hanchen Huang

The tight binding model is a minimal electronic structure model for molecular modelling and simulation. We show that the total energy in this model can be decomposed into site energies, that is, into contributions from each atomic site…

Numerical Analysis · Mathematics 2015-06-19 Huajie Chen , Christoph Ortner

Motivated by a recent experiment by Zelevinsky et al. [Phys. Rev. Lett. 96, 203201], we present the theory for photoassociation and optical Feshbach resonances of atoms confined in a tight one-dimensional (1D) or two-dimensional (2D)…

Atomic Physics · Physics 2013-05-29 Pascal Naidon , Paul S. Julienne

Lattice models or structures are geometrical objects with mathematical forms, that are used to represent physical systems. They have been used widely in diverse fields, namely, in condensed matter physics, to study degrees of freedom of…

Quantum Physics · Physics 2024-06-04 Kalyan Dasgupta

Atomic ensembles have shown to be a promising candidate for implementations of quantum information processing by many recently-discovered schemes. All these schemes are based on the interaction between optical beams and atomic ensembles.…

Quantum Physics · Physics 2009-11-07 L. -M. Duan , J. I. Cirac , P. Zoller

We propose a scheme involving cold atoms trapped in optical lattices to observe different phenomena traditionally linked to quantum-optical systems. The basic idea consists of connecting the trapped atomic state to a non-trapped state…

Quantum Physics · Physics 2011-11-10 Carlos Navarrete-Benlloch , Inés de Vega , Diego Porras , J. Ignacio Cirac

The dynamics of the interaction between an atom of three levels interacting with a quantized field of two modes in a cavity is studied within the rotating wave approximation, by taking into account experimental values of the accessible…

Quantum Physics · Physics 2025-02-25 A. del Rio-Lima , F. J. Poveda-Cuevas , O. Castaños

A lattice-gas model is suggested for describing the ordering phenomena in alkali-metal fullerides of face-centered-cubic structure assuming the electric charge of alkali ions residing in either octahedral or tetrahedral interstitial sites…

Condensed Matter · Physics 2009-10-28 Laszlo Udvardi , Gyorgy Szabo

Rapid advancements in the experimental capabilities with ultracold alkaline-earth-like atoms (AEAs) bring to a surprisingly near term the prospect of performing quantum simulations of spin models and lattice field theories exhibiting…

Quantum Gases · Physics 2019-03-20 Michael A. Perlin , Ana Maria Rey

The thermodynamics of the lattice model of intercalation of ions in crystals is considered in the mean field approximation. Pseudospin formalism is used for the description of interaction of electrons with ions and the possibility of…

Strongly Correlated Electrons · Physics 2009-07-08 T. S. Mysakovych , V. O. Krasnov , I. V. Stasyuk

We propose a novel method for the determination of the effective interaction potential between the amino acids of a protein. The strategy is based on the combination of a new optimization procedure and a geometrical argument, which also…

Soft Condensed Matter · Physics 2009-10-31 Jort van Mourik , Cecilia Clementi , Amos Maritan , Flavio Seno , J. R. Banavar

The intricate relationship between electrons and the crystal lattice is a linchpin in condensed matter, traditionally described by the Fr\"ohlich model encompassing the lowest-order lattice-electron coupling. Recently developed quantum…

Strongly Correlated Electrons · Physics 2024-07-02 Yoel Zimmermann , Joonas Keski-Rahkonen , Anton M. Graf , Eric J. Heller