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The vortex patterns stabilized by the square array of artificial pinning sites with a tunable pinning strength are studied by using a phenomenological approach in the London limit. The transitions between pinned and deformed triangular…

Superconductivity · Physics 2009-11-07 W. V. Pogosov , A. L. Rakhmanov , V. V. Moshchalkov

We determine the phase diagram of a mixture of ultracold bosons and polarized fermions placed in an optical lattice using mean field theory. In the limit of strong atom-atom interactions, there exist quantum phases that involve pairing of…

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

We study theoretically and numerically the ground state of a gas of 2D abelian anyons in an external trapping potential. We treat anyon statistics in the magnetic gauge picture, perturbatively around the bosonic end. This leads to a…

Quantum Gases · Physics 2024-12-20 Michele Correggi , Romain Duboscq , Douglas Lundholm , Nicolas Rougerie

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 numerically investigate vortex lattices in rotating two-component Bose-Einstein condensates in which the two components have unequal atomic masses and interact attractively with each other. For sufficiently strong attraction, the system…

Quantum Gases · Physics 2012-06-13 Pekko Kuopanportti , Jukka A. M. Huhtamäki , Mikko Möttönen

We study a one-dimensional model of interacting bosons on a lattice with two flat bands. Regular condensation is suppressed due to the absence of a well defined minimum in the single particle spectrum. We find that interactions stabilize a…

Quantum Gases · Physics 2014-01-08 Murad Tovmasyan , Evert van Nieuwenburg , Sebastian Huber

We study a one-dimensional system of strongly correlated bosons on a dynamical lattice. To this end, we extend the standard Bose-Hubbard Hamiltonian to include extra degrees of freedom on the bonds of the lattice. We show that this minimal…

We investigate the ground state of two-dimensional Bose-Einstein condensates with Rashba spin-orbit coupling in square optical lattices and demonstrate the existence of rich phases with different lattice structures, which is closely related…

Quantum Gases · Physics 2016-09-20 Ben Li , Shu Chen

We study the ground state of two interacting bosonic particles confined in a ring-shaped lattice potential and subjected to a synthetic magnetic flux. The system is described by the Bose-Hubbard model and solved exactly through a plane-wave…

Quantum Gases · Physics 2020-05-06 Juan Polo , Piero Naldesi , Anna Minguzzi , Luigi Amico

Ladder models of ultracold atoms offer a versatile platform for the experimental and theoretical study of different phenomena and phases of matter linked to the interplay between artificial gauge fields and interactions. Strongly correlated…

We study the frustrated Heisenberg model on the bilayer honeycomb lattice. The ground-state energy and spin gap are calculated, using different bosonic representations at mean field level and numerical calculations, to explore different…

Strongly Correlated Electrons · Physics 2015-01-21 M. Arlego , C. A. Lamas , H. Zhang

We present a scheme to generate an artificial gauge field for the system of neutral bosons, represented by polaritons in micropillars arranged into a square lattice. The splitting between the two polarizations of the micropillars breaks the…

Mesoscale and Nanoscale Physics · Physics 2018-08-15 R. Banerjee , T. C. H. Liew , O. Kyriienko

Nonlinearities can have a profound influence on the dynamics and equilibrium properties of discrete lattice systems. The simple case of two coupled modes with self-nonlinearities gives rise to the rich bosonic Josephson effects. In…

We study the effects of a synthetic gauge field and pseudospin-orbit interaction in a stacked two-dimensional ring-network model. The model was introduced to simulate light propagation in the corresponding ring-resonator lattice, and is…

Optics · Physics 2016-12-23 Tetsuyuki Ochiai

We analyze the dynamics of Bose-Einstein condensates loaded in rotating ring lattices made of a few sites, and show how rotation maps the states found in this finite system into those belonging to a static infinite lattice. Ring currents…

Quantum Gases · Physics 2019-03-06 A. Muñoz Mateo , V. Delgado , M. Guilleumas , R. Mayol , J. Brand

The physics of quantized vortex excitations in atomic Bose-Einstein condensates has been extensively studied in recent years.Although simple vortex lines are relatively easy to create, control, and measure in experiments, it is a lot more…

Quantum Physics · Physics 2020-10-28 James Schloss , Peter Barnett , Rashi Sachdeva , Thomas Busch

We study incompressible ground states of bosons in a two-dimensional rotating square optical lattice. The system can be described by the Bose-Hubbard model in an effective uniform magnetic field present due to the lattice rotation. To study…

Quantum Gases · Physics 2015-06-05 T. Duric , A. Lazarides

Optical lattices with a complex-valued tunnelling term have become a standard way of studying gauge-field physics with cold atoms. If the complex phase of the tunnelling is made density-dependent, such system features even a…

Quantum Gases · Physics 2016-03-09 David Raventós , Tobias Graß , Bruno Juliá-Díaz , Luis Santos , Maciej Lewenstein

We investigate the appearance of vortices and vortex lattices in two-dimensional, anisotropic and rotating Bose-Einstein condensates. Once the anisotropy reaches a critical value, the positions of the vortex cores in the ground state are no…

Other Condensed Matter · Physics 2010-07-23 S. McEndoo , Th. Busch

The study of the gauge field is an everlasting topic in modern physics. Spin-orbit coupling is a powerful tool in ultracold atomic systems, resulting in an artificial gauge field that can be easily manipulated and observed in a tabletop…

Quantum Gases · Physics 2025-02-05 Xiang-Can Cheng , Zong-Yao Wang , Jinyi Zhang , Shuai Chen , Xiaotian Nie