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I point out two of the subtleties referred to in the title. The first is that gauge-invariant magnetic systems may realized under general circumstances, as suggested by a simple theorem. The second subtlety is that care is needed to…

High Energy Physics - Lattice · Physics 2013-11-19 Peter Orland

We provide a detailed theoretical and conceptual study of a planned experiment to excite Rydberg states of ions trapped in a Paul trap. The ultimate goal is to exploit the strong state dependent interactions between Rydberg ions to…

Atomic Physics · Physics 2012-01-16 F. Schmidt-Kaler , T. Feldker , D. Kolbe , J. Walz , M. Müller , P. Zoller , W. Li , I. Lesanovsky

We study finite two dimensional spin lattices with definite geometry (spin billiards) demonstrating the display of collective integrable or chaotic dynamics depending on their shape. We show that such systems can be quantum simulated by…

Quantum Physics · Physics 2015-05-13 Simone Montangero , Diego Frustaglia , Tommaso Calarco , Rosario Fazio

Gauge theories are the cornerstone of our understanding of fundamental interactions among particles. Their properties are often probed in dynamical experiments, such as those performed at ion colliders and high-intensity laser facilities.…

Geometrically frustrated systems with a large degeneracy of low energy states are of central interest in condensed-matter physics. The kagome net - a pattern of corner-sharing triangular plaquettes - presents a particularly high degree of…

We consider a system of ultracold atoms in an optical lattice as a quantum simulator for electron-positron pair production in quantum electrodynamics (QED). For a setup in one spatial dimension, we investigate the nonequilibrium phenomenon…

Quantum Gases · Physics 2016-08-09 V. Kasper , F. Hebenstreit , M. Oberthaler , J. Berges

Quantum simulation holds the promise of improving the atomic simulations used at EDF to anticipate the ageing of materials of interest. One simulator in particular seems well suited to modeling interacting electrons: the Rydberg atoms…

Quantum Physics · Physics 2024-06-21 Antoine Michel

Using quantum systems to efficiently solve quantum chemistry problems is one of the long-sought applications of near-future quantum technologies. In a recent work, ultra-cold fermionic atoms have been proposed for these purposes by showing…

Quantum Physics · Physics 2021-04-16 Javier Argüello-Luengo , Tao Shi , Alejandro González-Tudela

Rydberg atoms trapped by optical tweezers have emerged as a versatile platform to emulate lattices with different geometries, in which long-range interacting spins lead to fascinating phenomena, ranging from spin liquids to topological…

We propose a realistic scheme to quantum simulate the so-far experimentally unobserved topological Mott insulator phase -- an interaction-driven topological insulator -- using cold atoms in an optical Lieb lattice. To this end, we study a…

Quantum Gases · Physics 2016-04-20 A. Dauphin , M. Müller , M. A. Martin-Delgado

We theoretically investigate the possibility of creating phonon-mediated spin-spin interactions between neutral atoms trapped in optical tweezers. By laser coupling the atoms to Rydberg states, collective modes of motion appear. We show…

Atomic Physics · Physics 2020-09-01 Rasmus Vestergaard Skannrup , R. Gerritsma , S. J. J. M. F. Kokkelmans

Hybrid systems of ultracold atoms and trapped ions or Rydberg atoms can be useful for quantum simulation purposes. By tuning the geometric arrangement of the impurities it is possible to mimic solid state and molecular systems. Here we…

We review recent theoretical advances in cold atom physics concentrating on strongly correlated cold atoms in optical lattices. We discuss recently developed quantum optical tools for manipulating atoms and show how they can be used to…

Other Condensed Matter · Physics 2009-11-10 D. Jaksch , 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 quantum compass model consists of a two-dimensional square spin lattice where the orientation of the spin-spin interactions depends on the spatial direction of the bonds. It has remarkable symmetry properties and the ground state shows…

Quantum Gases · Physics 2017-01-19 Samuel Fernandez-Lorenzo , Juan Jose Garcia-Ripoll , Diego Porras

Analog quantum simulations with Rydberg atoms in optical tweezers routinely address strongly correlated many-body problems due to the hardware-efficient implementation of the Hamiltonian. Yet, their generality is limited, and flexible…

Spontaneously crystalline ground states, called quantum crystals, of a trapped Rydberg-dressed Bose-Einstein condensate are numerically investigated. As a result described by a mean-field order parameter, such states simultaneously possess…

Quantum Gases · Physics 2016-11-25 C. -H. Hsueh , T. -C. Lin , T. -L. Horng , W. C. Wu

Dressed Rydberg atoms in optical lattices are a promising platform for the quantum simulation of intriguing phenomena emerging in strongly interacting systems. Relevant to such a setup, we investigate the phase diagram of hard-core bosons…

We study the general quantum Hamiltonian that can be realized with two species of mutually interacting degenerate ultracold atoms in a ring-shaped trap, with the options of rotation and an azimuthal lattice. We examine the spectrum and the…

Quantum Gases · Physics 2023-11-28 Tomáš Opatrný , Kunal K. Das

Dual-species arrays of ultracold neutral atoms have recently attracted increased interest due to the ability to independently control different atomic species and tune the interatomic interactions. This capability provides additional…

Quantum Physics · Physics 2026-05-06 Ahmed M. Farouk , Ilya I. Beterov , Ghadeer Suliman , Junxi Chen , Igor I. Ryabtsev