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Experimental control over ultracold quantum gases has made it possible to investigate low-dimensional systems of both bosonic and fermionic atoms. In closed 1D systems there are a lot of similarities in the dynamics of local quantities for…

Quantum Physics · Physics 2018-05-30 Jorge Yago Malo , Evert P. L. van Nieuwenburg , Mark H. Fischer , Andrew J. Daley

A mixture of ultracold bosons and fermions placed in an optical lattice constitutes a novel kind of quantum gas, and leads to phenomena, which so far have been discussed neither in atomic physics, nor in condensed matter physics. We discuss…

Other Condensed Matter · Physics 2009-11-10 M. Lewenstein , L. Santos , M. A. Baranov , H. Fehrmann

Strong collective interaction of atoms with an optical cavity causes normal mode splitting of the cavity's resonances, whose width is given by the collective coupling strength. At low optical density of the atomic cloud the intensity…

Electronic flat bands in momentum space, arising from strong localization of electrons in real space, are an ideal stage to realize strong correlation phenomena. In certain lattices with built-in geometrical frustration, electronic…

Rotational states for trapped bosons in an optical lattice are studied in the framework of the Hubbard model. Critical frequencies are calculated and the main parameter regimes are identified. Transitions are observed from edge superfluids…

Other Condensed Matter · Physics 2009-11-13 Emil Lundh

We report on the experimental observation of an analog to a persistent alternating photocurrent in an ultracold gas of fermionic atoms in an optical lattice. The dynamics is induced and sustained by an external harmonic confinement. While…

Quantum Gases · Physics 2013-02-22 J. Heinze , J. S. Krauser , N. Fläschner , B. Hundt , S. Götze , A. P. Itin , L. Mathey , K. Sengstock , C. Becker

In the study of relaxation processes in coherent non-equilibrium dynamics of quenched quantum systems, ultracold atoms in optical superlattices with periodicity two provide a very fruitful test ground. In this work, we consider the dynamics…

Statistical Mechanics · Physics 2010-04-21 A. Flesch , M. Cramer , I. P. McCulloch , U. Schollwoeck , J. Eisert

A semiclassical model is used to investigate oscillations of atomic fermions in a combined magnetic trap and one dimensional optical lattice potential following axial displacement of the trap. The oscillations are shown to have a…

Soft Condensed Matter · Physics 2009-11-10 T. A. B. Kennedy

Transport properties are among the defining characteristics of many important phases in condensed matter physics. In the presence of strong correlations they are difficult to predict even for model systems like the Hubbard model. In real…

We study a quasi-one-dimensional attractive Bose gas confined in an optical lattice with a superimposed harmonic potential by analyzing the effective one-dimensional Bose-Hubbard Hamiltonian of the system. In order to have a reliable…

Quantum Gases · Physics 2014-10-01 Luca Barbiero , Luca Salasnich

Fermions on the lattice have bosonic excitations generated from the underlying periodic background. These, the lattice bosons, arise near the empty band or when the bands are nearly full. They do not depend on the nature of the interactions…

High Energy Physics - Theory · Physics 2007-05-23 Jayprokas Chakrabarti , Asis Basu , Bijon Bagchi

We study the dynamics of ultracold atoms in tailored bichromatic optical lattices. By tuning the lattice parameters, one can readily engineer the band structure and realize a Dirac point, i.e. a true crossing of two Bloch bands. The…

Quantum Physics · Physics 2012-03-19 D. Witthaut , T. Salger , S. Kling , C. Grossert , M. Weitz

With the objective of simulating the physical behavior of electrons in a dynamic background, we investigate a cold atomic Bose-Fermi mixture confined in an optical lattice potential solely affecting the bosons. The bosons, residing in the…

Quantum Gases · Physics 2024-02-19 Axel Gagge , Th. K. Mavrogordatos , Jonas Larson

We investigate a quasi-one dimensional system of trapped cold bosonic atoms in an optical lattice by using the density matrix renormalization group to study the Bose-Hubbard model at T=0 for experimentally realistic numbers of lattice…

Strongly Correlated Electrons · Physics 2007-05-23 C. Kollath , U. Schollwöck , J. von Delft , W. Zwerger

Starting from the nearest-neighbor tight-binding model on {10,3} and {14,3} hyperbolic lattices that, for a uniform hopping amplitude, gives rise to emergent Dirac fermions on a curved space with a constant negative curvature, displaying a…

Strongly Correlated Electrons · Physics 2025-11-21 Christopher A. Leong , Bitan Roy

We propose an experimental scheme to simulate and observe relativistic Dirac fermions with cold atoms in a hexagonal optical lattice. By controlling the lattice anisotropy, one can realize both massive and massless Dirac fermions and…

Materials Science · Physics 2009-11-13 Shi-Liang Zhu , Baigeng Wang , L. -M. Duan

Inspired by the growing interest in probing many-body phases in novel two-dimensional lattice geometries we investigate the properties of cold atoms as they could be observed in an optical Lieb lattice. We begin by computing Wannier…

Quantum Gases · Physics 2021-08-12 Stuart Flannigan , Luisa Madail , Ricardo G. Dias , Andrew J. Daley

We consider a periodic lattice loaded with pairs of bosonic atoms tightly bound to each other via strong attractive on-site interaction that exceeds the inter-site tunneling rate. An ensemble of such lattice-dimers is accurately described…

Statistical Mechanics · Physics 2013-05-29 Bernd Schmidt , Michael Bortz , Sebastian Eggert , Michael Fleischhauer , David Petrosyan

Non-equilibrium quantum phenomena are ubiquitous in nature. Yet, theoretical predictions on the real-time dynamics of many-body quantum systems remain formidably challenging, especially for high dimensions, strong interactions or disordered…

Quantum Gases · Physics 2013-08-21 A. Kartsev , D. Karlsson , A. Privitera , C. Verdozzi

We describe a simple model of fermions in quasi-one dimension that features interaction induced deconfinement (a phase transition where the effective dimensionality of the system increases as interactions are turned on) and which can be…

Strongly Correlated Electrons · Physics 2015-05-13 Sam T. Carr , Jorge Quintanilla , Joseph J. Betouras