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The dipole-dipole interaction among ultra-cold Rydberg atoms is simulated. We examine a general interaction scheme in which two atoms excited to the x and x' states are converted to y and y' states via a Forster resonance. The atoms are…

Atomic Physics · Physics 2013-05-29 T. J. Carroll , C. Daniel , L. Hoover , T. Sidie , M. W. Noel

We present an analytical theory for the nonlinear optical response of a strongly interacting Rydberg gas under conditions of electromagnetically induced transparency. Simple formulae for the third order optical susceptibility are derived…

Atomic Physics · Physics 2015-05-28 S. Sevinçli , N. Henkel , C. Ates , T. Pohl

We study the localization property of a two-dimensional noninteracting electron gas in the presence of randomly distributed short-range scatterers. We evaluate the participation number of the eigenstates obtained by exact diagonalization…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Z. Gedik , M. Bayindir

The article reviews the physics of Anderson localization on random regular graphs (RRG) and its connections to many-body localization (MBL) in disordered interacting systems. Properties of eigenstate and energy level correlations in…

Disordered Systems and Neural Networks · Physics 2021-10-15 K. S. Tikhonov , A. D. Mirlin

We experimentally demonstrate an original method to measure very accurately the density of a frozen Rydberg gas. It is based on the use of adiabatic transitions induced by the long-range dipole-dipole interaction in pairs of nearest…

Quantum Physics · Physics 2018-08-15 Anne Cournol , Jacques Robert , Pierre Pillet , Nicolas Vanhaecke

The competition between resonant optical excitation of Rydberg states of atoms and their strong, long-range van der Waals interaction results in spatial ordering of Rydberg excitations in a two-dimensional lattice gas, as observed in a…

Quantum Gases · Physics 2013-11-01 David Petrosyan

Two-dimensional (2D) spectroscopy uses multiple electromagnetic pulses to infer the properties of a complex system. A paradigmatic class of target systems are molecular aggregates, for which one can obtain information on the eigenstates,…

We introduce the Rydberg Composite, a new class of Rydberg matter where a single Rydberg atom is interfaced with a dense environment of neutral ground state atoms. The properties of the Composite depend on both the Rydberg excitation, which…

Atomic Physics · Physics 2020-09-02 Andrew L. Hunter , Matthew T. Eiles , Alex Eisfeld , Jan M. Rost

Disordered systems provide paradigmatic instances of ergodicity breaking and localization phenomena. Here we explore the dynamics of excitations in a system of Rydberg atoms held in optical tweezers. The finite temperature produces an…

Assemblies of highly excited Rydberg atoms in an ultracold gas can be set into motion by a combination of van-der-Waals and resonant dipole-dipole interactions. Thereby, the collective electronic Rydberg state might change due to…

Atomic Physics · Physics 2021-12-15 Ritesh Pant , Rajat Agrawal , Sebastian Wüster , Jan-Michael Rost

We present the experimental observation of the antiblockade in an ultracold Rydberg gas recently proposed by Ates et al. [Phys. Rev. Lett. 98, 023002 (2007)]. Our approach allows the control of the pair distribution in the gas and is based…

Atomic Physics · Physics 2015-05-14 Thomas Amthor , Christian Giese , Christoph S. Hofmann , Matthias Weidemüller

We present a thorough numerical study of the Richardson model with quenched disorder (a fully-connected XX-model with longitudinal random fields). We study the onset of delocalization in typical states (many-body delocalization) and the…

Statistical Mechanics · Physics 2012-01-31 Francesco Buccheri , Andrea De Luca , Antonello Scardicchio

Rate equation models are extensively used to describe the many-body states of laser driven atomic gases. We show that the properties of the rate equation model used to describe nonlinear optical effects arising in interacting Rydberg gases…

Atomic Physics · Physics 2015-06-18 M. Gärttner , S. Whitlock , D. W. Schönleber , J. Evers

We show that the dynamics of a laser driven Rydberg gas in the limit of strong dephasing is described by a master equation with manifest kinetic constraints. The equilibrium state of the system is uncorrelated but the constraints in the…

Atomic Physics · Physics 2015-06-16 Igor Lesanovsky , Juan P. Garrahan

Recent experiments with degenerate molecular gases dressed by elliptically polarized microwave fields have enabled new control of dipolar interactions via engineered anisotropy. We reveal a symmetry structure of the dipolar interaction that…

Quantum Gases · Physics 2025-10-13 D. Baillie

We theoretically study decoherence of two localized spins interacting via the RKKY interaction in one-, two-, and three-dimensional electron gas. We derive the kinetic equation for the reduced density matrix of the localized spins and show…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yoshiaki Rikitake , Hiroshi Imamura

The dipole-dipole interaction between two Rydberg atoms depends on the relative orientation of the atoms and on the change in the magnetic quantum number. We simulate the effect of this anisotropy on the energy transport in an amorphous…

Rydberg atoms allow for the experimental study of open many-body systems and nonequilibrium phenomena. High dephasing rates are a generic feature of these systems, and therefore they can often be described by rate equations, i.e. in the…

Quantum Physics · Physics 2025-05-15 Tom Schlegel , Evangelia Konstantinidou , Michael Fleischhauer , Daniel Brady

We theoretically investigate the dynamics of a gas of strongly interacting Rydberg atoms subject to a time-domain Ramsey interferometry protocol. The many-body dynamics is governed by an Ising-type Hamiltonian with long range interactions…

F\"orster resonances provide a highly flexible tool to tune both the strength and the angular shape of interactions between two Rydberg atoms. We give a detailed explanation about how F\"orster resonances can be found by searching through a…