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We study the critical behavior of Bose-Einstein condensation in the second band of a bipartite optical square lattice in a renormalization group framework at one-loop order. Within our field theoretical representation of the system, we…

Quantum Gases · Physics 2018-02-02 Junichi Okamoto , Wen-Min Huang , Robert Höppner , Ludwig Mathey

We propose and experimentally explore a method for realizing frustrated lattice models using a Bose-Einstein condensate held in an optical square lattice. A small lattice distortion opens up an energy gap such the lowest band splits into…

We propose to realize the anisotropic triangular-lattice Bose-Hubbard model with positive tunneling matrix elements by using ultracold atoms in an optical lattice dressed by a fast lattice oscillation. This model exhibits frustrated…

One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state composed of localized atoms as the strength of a periodic, optical…

Statistical Mechanics · Physics 2008-09-23 M. Aizenman , E. H. Lieb , R. Seiringer , J. P. Solovej , J. Yngvason

We consider interacting bosonic particles on a two-leg triangular ladder in the presence of an artificial gauge field. We employ density matrix renormalization group numerical simulations and analytical bosonization calculations to study…

Quantum Gases · Physics 2023-02-21 Catalin-Mihai Halati , Thierry Giamarchi

A weakly interacting, spin-orbit coupled, two-component, ultracold Bose gas bound to a Bravais lattice is studied. Motivated by recent experimental advances in the field of synthetically spin-orbit coupled, ultracold, neutral atomic gases…

Quantum Gases · Physics 2020-11-24 Kristian Mæland

We study dynamics of a two-component Bose-Einstein condensate where the two components are coupled via an optical lattice. In particular, we focus on the dynamics as one drives the system through a critical point of a first order phase…

Quantum Gases · Physics 2015-05-14 Anssi Collin , Jani-Petri Martikainen , Jonas Larson

Bose-Einstein condensation, observed in either strongly interacting liquid helium or weakly interacting atomic Bose gases, is widely known to be a second-order phase transition. Here, we predict a first-order Bose-Einstein condensation in a…

Quantum Gases · Physics 2022-01-21 Hui Hu , Zeng-Qiang Yu , Jia Wang , Xia-Ji Liu

A grand-canonical system of interacting bosons is considered to study phase transitions of ultracold atoms in an optical lattice. The phase diagram is discussed in terms of a matrix-like order parameter, representing a symmetric phase (Mott…

Statistical Mechanics · Physics 2007-05-23 K. Ziegler

We show that the spatial dimensionality of the quantum critical point associated with Bose--Einstein condensation at T=0 is reduced when the underlying lattice comprises a set of layers coupled by a frustrating interaction. For this…

Strongly Correlated Electrons · Physics 2009-11-13 J. Schmalian , C. D. Batista

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

The study of geometrically frustrated many-body quantum systems is of central importance to uncover novel quantum mechanical effects. We design a scheme where ultracold bosons trapped in a one-dimensional state-dependent optical lattice are…

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 consider the ground state of vortices in a Bose-Einstein condensate. We show that turning on a weak optical periodic potential leads to a transition from the triangular Abrikosov vortex lattice to phases where the vortices are pinned by…

Statistical Mechanics · Physics 2007-05-23 J. W. Reijnders , R. A. Duine

We investigate a Bose gas with finite-range interaction using a scheme to eliminate unphysical processes in the T-matrix approximation. In this way the corrected T-matrix becomes suitable to calculate properties below the critical…

Statistical Mechanics · Physics 2010-03-11 M. Männel , K. Morawetz , P. Lipavský

We study the behavior of a Bose-Einstein condensate held in an optical lattice. We first show how a self-trapping transition can be induced in the system by either increasing the number of atoms occupying a lattice site, or by raising the…

Other Condensed Matter · Physics 2007-05-23 C. E. Creffield

We show that the spatial dimensionality of the quantum critical point associated with Bose--Einstein condensation at T=0 is reduced when the underlying lattice comprises a set of layers coupled by a frustrating interaction. Our theoretical…

Strongly Correlated Electrons · Physics 2009-11-11 C. D. Batista , J. Schmalian , N. Kawashima , P. Sengupta , S. E. Sebastian , N. Harrison , M. Jaime , I. R. Fisher

We study a spinor (two-component) Bose gas confined in a one-dimensional double-valley optical lattice which has a double-well structure in momentum space. Based on field theory analysis, it is found that spinor bosons in the double-valley…

Quantum Gases · Physics 2017-12-15 Ying-Hai Wu , Xiaopeng Li , S. Das Sarma

We investigate the Bose-Einstein condensation patterns, the critical and multicritical behaviors of three-dimensional mixtures of bosonic gases with short-range density-density interactions. These systems have a global U(1)+U(1) symmetry,…

Quantum Gases · Physics 2016-04-06 Giacomo Ceccarelli , Jacopo Nespolo , Andrea Pelissetto , Ettore Vicari

We investigate the phase coherence of a trapped Bose-Einstein condensate that undergoes a dynamical superfluid-insulator transition in the presence of a one-dimensional optical lattice. We study the evolution of the condensate after a…

Soft Condensed Matter · Physics 2009-11-10 F. Nesi , M. Modugno
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