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In this Chapter, we give a brief review of the state of the art of theoretical and experimental studies of synthetic magnetic fields and quantum Hall effects in ultracold atomic gases. We focus on integer, spin, and fractional Hall effects,…

Quantum Gases · Physics 2022-09-14 Philipp Hauke , Iacopo Carusotto

We study the scissors modes of a harmonically trapped Bose-Einstein condensate under the influence of a synthetic magnetic field, which induces rigid rotational components in the velocity field. Our investigation reveals that the scissors…

Quantum Gases · Physics 2023-09-07 Chunlei Qu , Chuan-Hsun Li , Yong P. Chen , Sandro Stringari

Synthetic photonic materials are an emerging platform for exploring the interface between microscopic quantum dynamics and macroscopic material properties[1-5]. Photons experiencing a Lorentz force develop handedness, providing…

Quantum Gases · Physics 2017-01-25 Nathan Schine , Albert Ryou , Andrey Gromov , Ariel Sommer , Jonathan Simon

We present a concise review of the physics of ultra-cold dipolar gases, based mainly on the theoretical developments in our own group. First, we discuss shortly weakly interacting ultra-cold trapped dipolar gases. Dipolar Bose-Einstein…

Other Condensed Matter · Physics 2017-08-23 Chiara Menotti , Maciej Lewenstein

The close theoretical analogy between the physics of rapidly rotating atomic Bose condensates and the quantum Hall effect (i.e., a two dimensional electron gas in a strong magnetic field) was first pointed out ten years ago. As a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Susanne Viefers

Superfluids are distinguished from ordinary fluids by the quantized manner the rotation is manifested in them. Precisely, quantized vortices are known to appear in the bulk of a superfluid subject to external rotation. In this work we study…

Quantum Gases · Physics 2015-10-09 Marios C. Tsatsos , Axel U. J. Lode

Quantum magnets offer a unique platform for exploring exotic quantum phases and quantum phase transitions through external magnetic fields. A prominent example is the field-induced Bose--Einstein condensation (BEC) of magnons near the…

Strongly Correlated Electrons · Physics 2025-10-15 J. Khatua , S. M. Kumawat , G. Senthil Murugan , C. -L. Huang , Heung-Sik Kim , K. Sritharan , R. Sankar , Kwang-Yong Choi

Quantum droplets may form out of a gaseous Bose-Einstein condensate, stabilized by quantum fluctuations beyond mean field. We show that multiple singly-quantized vortices may form in these droplets at moderate angular momenta in two…

Quantum Gases · Physics 2019-10-23 M. Nilsson Tengstrand , P. Stürmer , E. Karabulut , S. M. Reimann

Modern quantum engineering techniques allow for synthesizing quantum systems in exotic lattice geometries, from self-similar fractal networks to negatively curved hyperbolic graphs. We demonstrate that these structures profoundly reshape…

Ultracold gases provide micrometer size atomic samples whose sensitivity to external fields may be exploited in sensor applications. Bose-Einstein condensates of atomic gases have been demonstrated to perform excellently as magnetic field…

Superconductivity · Physics 2013-05-29 T. K. Koponen , J. Pasanen , P. Törmä

We consider the manipulation of Bose-Einstein condensate vortices by optical potentials generated by focused laser beams. It is shown that for appropriate choices of the laser strength and width it is possible to successfully transport…

Pattern Formation and Solitons · Physics 2012-05-11 M. C. Davis , R Carretero-González , Z. Shi , K. J. H. Law , P. G. Kevrekidis , B. P. Anderson

A forthcoming challenge in ultracold lattice gases is the simulation of quantum magnetism. That involves both the preparation of the lattice atomic gas in the desired spin state and the probing of the state. Here we demonstrate how a…

Quantum Gases · Physics 2011-03-07 G. De Chiara , O. Romero-Isart , A. Sanpera

We have investigated the formation of vortices by rotating the purely magnetic potential confining a Bose-Einstein condensate. We modified the bias field of an axially symmetric TOP trap to create an elliptical potential that rotates in the…

Statistical Mechanics · Physics 2009-11-07 E. Hodby , G. Hechenblaikner , S. A. Hopkins , O. M. Maragò , C. J. Foot

We review recent developments in the use of magnetic lattices as a complementary tool to optical lattices for trapping periodic arrays of ultracold atoms and degenerate quantum gases. Recent advances include the realisation of Bose-Einstein…

Vortices in a one-component dilute atomic ultracold Bose-Einstein condensate (BEC) usually arise as a response to externally driven rotation. Apart from a few special situations, these vortices are singly quantized with unit circulation.…

Quantum Gases · Physics 2015-06-24 Alexander L. Fetter

In a numerical experiment based on Gross-Pitaevskii formalism, we demonstrate unique topological quantum coherence in optically trapped Bose-Einstein condensates (BECs). Exploring the fact that vortices in rotating BEC can be pinned by a…

Other Condensed Matter · Physics 2008-11-06 R. Geurts , M. V. Milošević , F. M. Peeters

We present a quantum mechanical treatment of the mechanical stirring of Bose-Einstein condensates using classical field techniques. In our approach the condensate and excited modes are described using a Hamiltonian classical field method in…

Other Condensed Matter · Physics 2008-12-03 T. M. Wright , R. J. Ballagh , A. S. Bradley , P. B. Blakie , C. W. Gardiner

We study the rotation of a $^{87}$Rb Bose-Einstein condensate confined in a magnetic trap to which a focused, off resonant gaussian laser beam is superimposed. The confining potential is well approximated by the sum of a quadratic and a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Vincent Bretin , Sabine Stock , Yannick Seurin , Jean Dalibard

When two or more energy bands become degenerate at a singular point in the momentum space, such singularity, or ``Dirac points", gives rise to intriguing quantum phenomena as well as unusual material properties. Systems at the Dirac points…

Quantum Gases · Physics 2025-09-09 Yunda Li , Wei Han , Zengming Meng , Wenxin Yang , Cheng Chin , Jing Zhang

The realization of artificial gauge fields and spin-orbit coupling for ultra-cold quantum gases promises new insight into paradigm solid state systems. Here we experimentally probe the dispersion relation of a spin-orbit coupled…

Quantum Gases · Physics 2015-06-19 C. Hamner , Yongping Zhang , M. A. Khamehchi , Matthew J. Davis , P. Engels