Conversion of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">K</mml:mi><mml:mprescripts /><mml:none /><mml:mn>40</mml:mn></mml:mmultiscripts><mml:mtext>−</mml:mtext><mml:mmultiscripts><mml:mi mathvariant="normal">Rb</mml:mi><mml:mprescripts /><mml:none /><mml:mn>87</mml:mn></mml:mmultiscripts></mml:mrow></mml:math>mixtures into stable molecules

Lu, Li-Hua; Li, Youquan

doi:10.1103/physreva.76.053608

Cited by 38 publications

(43 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here we outline a general framework for adding an Abelian gauge potential via rotation to a non-Abelian geometric gauge potential [128][129][130][131][132][133][134]. This scenario has several associated subtle issues: (1) In proper rotation experiments, the whole Hamiltonian should be static in the rotating frame.…”

Section: Geometric Gauge Potentials and Rotationmentioning

confidence: 99%

Light-induced gauge fields for ultracold atoms

et al. 2014

View full text Add to dashboard Cite

Abstract. Gauge fields are central in our modern understanding of physics at all scales. At the highest energy scales known, the microscopic universe is governed by particles interacting with each other through the exchange of gauge bosons. At the largest length scales, our universe is ruled by gravity, whose gauge structure suggests the existence of a particle -the graviton-that mediates the gravitational force. At the mesoscopic scale, solid-state systems are subjected to gauge fields of different nature: materials can be immersed in external electromagnetic fields, but they can also feature emerging gauge fields in their low-energy description. In this review, we focus on another kind of gauge field: those engineered in systems of ultracold neutral atoms. In these setups, atoms are suitably coupled to laser fields that generate effective gauge potentials in their description. Neutral atoms "feeling" laser-induced gauge potentials can potentially mimic the behavior of an electron gas subjected to a magnetic field, but also, the interaction of elementary particles with non-Abelian gauge fields. Here, we review different realized and proposed techniques for creating gauge potentials -both Abelian and non-Abelian -in atomic systems and discuss their implication in the context of quantum simulation. While most of these setups concern the realization of background and classical gauge potentials, we conclude with more exotic proposals where these synthetic fields might be made dynamical, in view of simulating interacting gauge theories with cold atoms.arXiv:1308.6533v3 [cond-mat.quant-gas]

show abstract

Section: Geometric Gauge Potentials and Rotationmentioning

confidence: 99%

Light-induced gauge fields for ultracold atoms

et al. 2014

View full text Add to dashboard Cite

show abstract

“…Another proposed scheme is based on laser assisted tunneling depending on the hyperfine levels to obtain U(2) vector potentials acting on ultracold atoms in optical lattices [12], while effective non-abelian gauge potentials in cavity QED models has been recently addressed in [13]. Several properties of ultracold atoms in artificial non-abelian gauge potentials, including Landau levels and dynamical regimes, have been recently studied [14][15][16][17][18][19][20][21].…”

mentioning

confidence: 99%

Non-Abelian Anyons from Degenerate Landau Levels of Ultracold Atoms in Artificial Gauge Potentials

Burrello

Trombettoni

2010

Phys. Rev. Lett.

View full text Add to dashboard Cite

We show that non-abelian potentials acting on ultracold gases with two hyperfine levels can give rise to ground states with non-abelian excitations. We consider a realistic gauge potential for which the Landau levels can be exactly determined: the non-abelian part of the vector potential makes the Landau levels non-degenerate. In the presence of strong repulsive interactions, deformed Laughlin ground states occur in general. However, at the degeneracy points of the Landau levels, non-abelian quantum Hall states appear: these ground states, including deformed Moore-Read states (characterized by Ising anyons as quasi-holes), are studied for both fermionic and bosonic gases.The quest for states of matter having non-abelian excitations has been very intense in the past two decades, motivated by interest for the topological properties of such correlated states [1,2] and by their relevance for the implementation of topological quantum computation schemes [2].Quantum Hall systems provide a major arena in which investigating non-abelian anyons, and a huge amount of work has been devoted to characterize which quantum Hall states are non-abelian and to propose (mainly interferometric) experiments to test the non-abelian nature of such states A significant and complementary issue consists in finding other experimental systems suitable to simulate the quantum Hall physics and realize non-abelian anyons. In this respect, ultracold atomic systems provide a natural candidate [5,6], due to the possibility of using them as simulators of many-body systems [7]. Two essential (but in general not sufficient) ingredients are available in ultracold atomic systems. First, one can simulate artificial magnetic fields by using

show abstract

“…Rotating effects have also been observed in the quantum Hall effect [16], spintronics [17][18][19], quantum rings [20][21][22], Bose-Einstein condensation [23] and in the presence of the Kratzer potential [24].…”

Section: Introductionmentioning

confidence: 93%

On an atom with a magnetic quadrupole moment in a rotating frame

Fonseca

Bakke

2017

Eur. Phys. J. Plus

View full text Add to dashboard Cite

The quantum description of an atom with a magnetic quadrupole moment in the presence of a uniform effective magnetic field is analysed. The atom is also subject to rotation and a scalar potential proportional to the inverse of the radial distance. It is shown that the spectrum of energy is modified, in contrast to the Landau-type levels, and there is a restriction on the possible values of the cyclotron frequency which stems from the influence of the rotation and scalar potential proportional to the inverse of the radial distance.

show abstract

Conversion ofK40−Rb87mixtures into stable molecules

Cited by 38 publications

References 33 publications

Light-induced gauge fields for ultracold atoms

Light-induced gauge fields for ultracold atoms

Non-Abelian Anyons from Degenerate Landau Levels of Ultracold Atoms in Artificial Gauge Potentials

On an atom with a magnetic quadrupole moment in a rotating frame

Contact Info

Product

Resources

About