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We discuss the dynamics of a Bose-Einstein condensate of atoms which is suddenly coupled to a condensate of molecules by an optical or magnetic Feshbach resonance. Three limiting regimes are found and can be understood from the transient…

Other Condensed Matter · Physics 2008-03-06 Pascal Naidon , Eite Tiesinga , Paul S. Julienne

Recent developments in analog quantum simulators based on cold atoms and trapped ions call for cross-validating the accuracy of quantum-simulation experiments with use of quantitative numerical methods; however, it is particularly…

Quantum Gases · Physics 2022-03-23 Ryui Kaneko , Ippei Danshita

We show that one of the key characteristics of interacting one-dimensional electronic quantum systems, the separation of spin and charge, can be observed in a two-component system of bosonic ultracold atoms even close to a competing phase…

Other Condensed Matter · Physics 2008-03-01 A. Kleine , C. Kollath , I. McCulloch , T. Giamarchi , U. Schollwoeck

Spin-orbit-coupled Bose-Einstein condensates are a flexible experimental platform to engineer synthetic quantum many-body systems. In particular, they host the so-called stripe phase, an instance of a supersolid state of matter. The…

Quantum Gases · Physics 2026-03-24 C. S. Chisholm , S. Hirthe , V. B. Makhalov , R. Ramos , R. Vatré , J. Cabedo , A. Celi , L. Tarruell

The Bose Hubbard model (BHM) of interacting bosons in a lattice has been a paradigm in many-body physics, and it exhibits a Mott insulator (MI)-superfluid (SF) transition at integer filling. Here a quantum simulator of the BHM using a…

Superconductivity · Physics 2015-06-16 Xiuhao Deng , Chunjing Jia , Chih-Chun Chien

Paper: cond-mat/9311033 The Hubbard model of interacting electrons, like the Ising model of spin-spin interactions, is the simplest possible model displaying many ``real world'' features, but it is much more difficult to analyze…

Condensed Matter · Physics 2008-02-03 Elliott Lieb

The Hubbard model, first formulated by physicist John Hubbard in the 1960s, is a simple theoretical model of interacting quantum particles in a lattice. The model is thought to capture the essential physics of high-temperature…

Central spin models, where a single spinful particle interacts with a spin environment, find wide application in quantum information technology and can be used to describe, e.g., the decoherence of a qubit over time. We propose a method of…

Quantum Physics · Physics 2023-11-30 Jacek Dobrzyniecki , Michał Tomza

Extended Bose Hubbard models with nearest neighbour interaction describe minimally the effect of long range interaction on ultra cold atoms in deep optical lattices. Rotation of such optical lattices subject such neutral cold atoms to the…

Quantum Gases · Physics 2010-12-30 Rashi Sachdeva , Sonika Johri , Sankalpa Ghosh

We investigate the quantum dynamics of repulsively bound atom pairs in an optical lattice described by the periodic Bose-Hubbard model both analytically and numerically. In the strongly repulsive limit, we analytically study the dynamical…

Other Condensed Matter · Physics 2008-06-12 Li Wang , Yajiang Hao , Shu Chen

Entanglement in a many-particle system can enable measurement sensitivities beyond that achievable by only classical correlations. For an ensemble of spins, all-to-all interactions are known to reshape the quantum projection noise, leading…

The density-matrix renormalization group method is used to study the ground state of the two-chain zigzag-bond Hubbard model at quarter filling. We show that, with a proper choice of the signs of hopping integrals, the ring exchange…

Strongly Correlated Electrons · Physics 2007-05-23 Y. Ohta , S. Nishimoto , T. Shirakawa , Y. Yamaguchi

An interesting first order type phase transition between Mott lobes has been reported in Phys. Rev. Lett. 109, 135302 (2012) for a two-dimensional Bose-Hubbard model in the presence of attractive three-body interaction. We re-visit the…

Quantum Gases · Physics 2018-08-22 Manpreet Singh , Sebastian Greschner , Tapan Mishra

Experiments on ultracold gases offer unparalleled opportunities to explore quantum many-body physics, with excellent control over key parameters including temperature, density, interactions and even dimensionality. In some systems, atomic…

Quantum Gases · Physics 2010-10-22 P. Wicke , S. Whitlock , N. J. van Druten

Synthetic spin-orbit coupling in ultracold atomic gases can be taken to extremes rarely found in solids. We study a two dimensional Hubbard model of bosons in an optical lattice in the presence of spin-orbit coupling strong enough to drive…

Quantum Gases · Physics 2017-11-21 Mi Yan , Yinyin Qian , Hoi-Yin Hui , Ming Gong , Chuanwei Zhang , Vito W. Scarola

We study the superfluid-insulator transition in Bose-Hubbard models in one-, two-, and three-dimensional cubic lattices by means of a recently proposed variational wave function. In one dimension, the variational results agree with the…

Strongly Correlated Electrons · Physics 2009-11-13 Manuela Capello , Federico Becca , Michele Fabrizio , Sandro Sorella

We consider a system of N non-relativistic spinless quantum particles (``electrons'') interacting with a quantized scalar Bose field (whose excitations we call ``photons''). We examine the case when the velocity v of the electrons is small…

Mathematical Physics · Physics 2008-11-26 L. Tenuta , S. Teufel

We consider spin-boson models composed by a single bosonic mode and an ensemble of $N$ identical two-level atoms. The situation where the coupling between the bosonic mode and the atoms generates real and virtual processes is studied, where…

Quantum Physics · Physics 2009-02-10 M. Aparicio Alcalde , R. Kullock , N. F. Svaiter

We describe a general technique that allows to induce and control strong interaction between spin states of neighboring atoms in an optical lattice. We show that the properties of spin exchange interactions, such as magnitude, sign, and…

Soft Condensed Matter · Physics 2009-11-07 L. -M. Duan , E. Demler , M. D. Lukin

We study the non-equilibrium dynamics of a 1D Bose-Hubbard model in a gradient potential and a superlattice, beginning from a deep Mott insulator regime with an average filling of one particle per site. Studying a quench that is near…