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We show that the effect of measurement back-action results in the generation of multiple many-body spatial modes of ultracold atoms trapped in an optical lattice, when scattered light is detected. The multipartite mode entanglement…

When placing an ultracold atomic gas inside a cavity, the light-matter coupling is enhanced and nonlinear atomic dynamics are generated, offering a promising platform for quantum simulation of models with short- and long-range interactions.…

Quantum Gases · Physics 2026-03-24 Adrían U. Ramírez-Barajas , Santiago F. Caballero-Benitez

For systems of interacting, ultracold spin-zero neutral bosonic atoms, harmonically trapped and subject to an optical lattice potential, we derive an Extended Bose Hubbard (EBH) model by developing a systematic expansion for the Hamiltonian…

Other Condensed Matter · Physics 2007-05-23 G. Mazzarella , S. M. Giampaolo , F. Illuminati

We investigate the phase diagram of a two-species Bose-Hubbard model including a conversion term, by which two particles from the first species can be converted into one particle of the second species, and vice-versa. The model can be…

Statistical Mechanics · Physics 2008-11-03 V. G. Rousseau , P. J. H. Denteneer

We investigate a new type of quantum ratchet which may be realised by cold atoms in a double-well optical lattice which is pulsed with unequal periods. The classical dynamics is chaotic and we find the classical diffusion rate $D$ is…

Atomic Physics · Physics 2007-05-23 T. S. Monteiro , P. A. Dando , N. A. C. Hutchings , M. R. Isherwood

We study the low temperature physics of an ultracold atomic gas in the potential formed inside a pumped optical resonator. Here, the height of the cavity potential, and hence the quantum state of the gas, depends not only on the pump…

Other Condensed Matter · Physics 2009-11-11 Jonas Larson , Bogdan Damski , Giovanna Morigi , Maciej Lewenstein

We consider a two-dimensional homogeneous ensemble of cold bosonic atoms loaded inside two optical cavities and pumped by a far-detuned external laser field. We examine the conditions for these atoms to self-organize into triangular and…

Quantum Gases · Physics 2016-08-08 Shabnam Safaei , Christian Miniatura , Benoît Grémaud

We propose and study various realizations of a Hofstadter-Hubbard model on a cylinder geometry with fermionic cold atoms in optical lattices. The cylindrical optical lattice is created by copropagating Laguerre-Gauss beams, i.e.~light beams…

We study the ground state properties of the Bose-Hubbard model with attractive interactions on a M-site one-dimensional periodic -- necklace-like -- lattice, whose experimental realization in terms of ultracold atoms is promised by a…

Statistical Mechanics · Physics 2007-05-23 Pierfrancesco Buonsante , Vittorio Penna , Alessandro Vezzani

We investigate properties of an ultracold, two-component bosonic gas in a square optical lattice at unit filling. In addition to density-density interactions, the atoms are subject to coherent light-matter interactions that couple different…

Quantum Gases · Physics 2018-01-03 Ulrike Bornheimer , Ivana Vasić , Walter Hofstetter

We analyze the dynamics of ultracold atoms in optical lattices induced by a sudden shift of the underlying harmonic trapping potential. In order to study the effect of strong interactions, dimensionality and lattice topology on transport…

Other Condensed Matter · Physics 2011-11-15 Michiel Snoek , Walter Hofstetter

We numerically simulate strongly correlated ultracold bosons coupled to a high-finesse cavity field, pumped by a laser beam in the transverse direction. Assuming a weak classical optical lattice added in the cavity direction, we model this…

Quantum Gases · Physics 2013-05-23 Y. -Q. Li , L. He , W. Hofstetter

We study the localization transition of an atom confined by an external optical lattice in a high-finesse cavity. The atom-cavity coupling yields an effective secondary lattice potential, whose wavelength is incommensurate with the…

We consider the physics of lattice bosons affected by disordered on-site interparticle interactions. Characteristic qualitative changes in the zero temperature phase diagram are observed when compared to the case of randomness in the…

Other Condensed Matter · Physics 2009-11-11 H. Gimperlein , S. Wessel , J. Schmiedmayer , L. Santos

We study quantum particles at zero temperature in an optical lattice coupled to a resonant cavity mode. The cavity field substantially modifies the particle dynamics in the lattice, and for strong particle-field coupling leads to a quantum…

Quantum Physics · Physics 2007-09-04 András Vukics , Christoph Maschler , Helmut Ritsch

Ultracold atoms in optical lattices provide a unique opportunity to study Bose- Hubbard physics. In this work we show that by considering a spatially varying onsite interaction it is possible to manipulate the motion of excitations above…

Quantum Gases · Physics 2014-11-13 R. A. Henry , J. Q. Quach , C-H. Su , A. D. Greentree , A. M. Martin

The Hubbard model is a paradigmatic model of strongly correlated quantum matter, thus making it desirable to investigate with quantum simulators such as ultracold atomic gases. Here, we consider the problem of two atoms interacting in a…

Quantum Gases · Physics 2025-12-03 Haydn S. Adlong , Jesper Levinsen , Meera M. Parish

We propose to simulate dynamical phases of a BCS superconductor using an ensemble of cold atoms trapped in an optical cavity. Effective Cooper pairs are encoded via internal states of the atoms and attractive interactions are realized via…

We propose an experimental scheme to simulate the many-body dynamical quantum Hall effect with ultra-cold bosonic atoms in a one-dimensional optical lattice. We first show that the required model Hamiltonian of a spin-1/2 Heisenberg chain…

Quantum Gases · Physics 2016-04-19 Dan-Wei Zhang , Xu-Chen Yang

Bose-Einstein condensation (BEC) in cold gases can be turned on and off by an external potential, such as that presented by an optical lattice. We present a model of this phenomenon which we are able to analyze rigorously. The system is a…

Statistical Mechanics · Physics 2009-11-10 Michael Aizenman , Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej , Jakob Yngvason
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