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We study the influence of atomic interactions on quantum simulations in momentum-space lattices (MSLs), where driven transitions between discrete momentum states mimic transport between sites of a synthetic lattice. Low energy atomic…

Quantum Gases · Physics 2018-01-31 Fangzhao Alex An , Eric J. Meier , Jackson Ang'ong'a , Bryce Gadway

The scope of analog simulation in atomic, molecular, and optical systems has expanded greatly over the past decades. Recently, the idea of synthetic dimensions -- in which transport occurs in a space spanned by internal or motional states…

Insights into complex phenomena in quantum matter can be gained from simulation experiments with ultracold atoms, especially in cases where theoretical characterization is challenging. However these experiments are mostly limited to…

We present a platform for the simulation of quantum magnetism with full control of interactions between pairs of spins at arbitrary distances in one- and two-dimensional lattices. In our scheme, two internal atomic states represent a…

Quantum Physics · Physics 2016-09-02 C. -L. Hung , A. González-Tudela , J. I. Cirac , H. J. Kimble

In quantum mechanical many-body systems, long-range and anisotropic interactions promote rich spatial structure and can lead to quantum frustration, giving rise to a wealth of complex, strongly correlated quantum phases. Long-range…

We investigate the interplay of localization, interactions and (pseudo)spin degrees of freedom on quantum states of particles on the lattice. Our results show that breaking the paradigm density-density interaction $U_0\gg$…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 A. M. Belemuk , N. M. Chtchelkatchev , A. V. Mikheyenkov , Wu-Ming Liu

Bound states of two interacting particles moving on a lattice can exhibit remarkable features that are not captured by the underlying single-particle picture. Inspired by this phenomenon, we introduce a novel framework by which genuine…

Mesoscale and Nanoscale Physics · Physics 2020-03-24 Grazia Salerno , Giandomenico Palumbo , Nathan Goldman , Marco Di Liberto

Most experiments with ultracold atoms in optical lattices have contact interactions, and therefore operate at high densities of around one atom per site to observe the effect of strong interactions. Strong ranged interactions can be…

Quantum Physics · Physics 2023-06-06 Daniel Malz , J. Ignacio Cirac

Quantum simulation and sensing hold great promise for providing new insights into nature, from understanding complex interacting systems to searching for undiscovered physics. Large ensembles of laser-cooled atoms interacting via…

We report generation of a new quantum interference effect in spontaneous emission from a resonantly driven system of two identical two-level atoms due to the spatial variation of the laser phase at the positions of the atoms. This…

Quantum Physics · Physics 2008-10-06 Sumanta Das , G. S. Agarwal , Marlan O. Scully

Interactions between quantum particles, such as electrons, are the source of important effects, ranging from superconductivity, to the formation of molecular bonds, or the stability of elementary compounds at high-energies. In this article,…

Quantum Physics · Physics 2025-06-16 Javier Argüello-Luengo

The combination of interactions and static gauge fields plays a pivotal role in our understanding of strongly-correlated quantum matter. Cold atomic gases endowed with a synthetic dimension are emerging as an ideal platform to…

We investigate a system of two atoms in an optical lattice, performing a quantum walk by state-dependent shift operations and a coin operation acting on the internal states. The atoms interact, e.g., by cold collisions, whenever they are in…

We describe a method to create fractional quantum Hall states of atoms confined in optical lattices. We show that the dynamics of the atoms in the lattice is analogous to the motion of a charged particle in a magnetic field if an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Anders S. Sorensen , Eugene Demler , Mikhail D. Lukin

We consider strongly interacting boson-boson mixtures on one-dimensional lattices and, by adopting a qualitative mean-field approach, investigate their quantum phases as the interspecies repulsion is increased. In particular, we analyze the…

Other Condensed Matter · Physics 2009-09-29 P. Buonsante , S. M. Giampaolo , F. Illuminati , V. Penna , A. Vezzani

We show that coupling ultracold atoms in optical lattices to quantized modes of an optical cavity leads to quantum phases of matter, which at the same time posses properties of systems with both short- and long-range interactions. This…

Quantum Gases · Physics 2016-07-06 Santiago F. Caballero-Benitez , Gabriel Mazzucchi , Igor B. Mekhov

We report the experimental implementation of discrete-time topological quantum walks of a Bose-Einstein condensate in momentum space. Introducing stroboscopic driving sequences to the generation of a momentum lattice, we show that the…

Quantum Gases · Physics 2020-02-12 Dizhou Xie , Tian-Shu Deng , Teng Xiao , Wei Gou , Tao Chen , Wei Yi , Bo Yan

In conventional fluid mechanics, the chemical composition and thermodynamic state of a fluid-solid interface are not considered when establishing velocity-field boundary conditions. As a consequence, fluid simulations are usually not able…

We analyze the free energy and construct the Gibbs-KMS states for a class of quantum lattice systems, at low temperatures and when the interactions are almost diagonal in a suitable basis. We study systems with continuous symmetry, but our…

Mathematical Physics · Physics 2009-10-31 J. Froehlich , L. Rey-Bellet , D. Ueltschi

The effect of many-body interaction in curved space is studied based on the extended Bose--Hubbard model on hyperbolic lattices. Using the mean-field approximation and quantum Monte Carlo simulation, the phase diagram is explicitly mapped…

Strongly Correlated Electrons · Physics 2021-08-11 Xingchuan Zhu , Jiaojiao Guo , Nikolas P. Breuckmann , Huaiming Guo , Shiping Feng
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