Cold atoms in a rotating optical lattice with nearest-neighbor interactions

Sachdeva, Rashi; Johri, Sonika; Ghosh, Sankalpa

doi:10.1103/physreva.82.063617

Cited by 15 publications

(21 citation statements)

References 40 publications

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“…3.1, by setting a cold gas into rotation one can exploit the formal equivalence between the Coriolis force and the Lorentz force, which has been demonstrated successfully through the observation of quantized vortices in a BEC [72,73,82,83]. These ideas have been extended to rotating optical lattices [154,155,156,157,158] and to even more exotic settings; e.g. a rotating BEC was predicted to induce an effective magnetic field for impurity atoms trapped in an optical lattice [159].…”

Section: Ultracold Atoms In Optical Square Latticesmentioning

confidence: 99%

Artificial gauge fields in materials and engineered systems

Aidelsburger

Nascimbène

Goldman

2018

Comptes Rendus. Physique

228

181

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Artificial gauge fields are currently realized in a wide range of physical settings. This includes solid-state devices but also engineered systems, such as photonic crystals, ultracold gases and mechanical setups. It is the aim of this review to offer, for the first time, a unified view on these various forms of artificial electromagnetic fields and spinorbit couplings for matter and light. This topical review provides a general introduction to the universal concept of engineered gauge fields, in a form which is accessible to young researchers entering the field. Moreover, this work aims to connect different communities, by revealing explicit links between the diverse forms and realizations of artificial gauge fields.

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Section: Ultracold Atoms In Optical Square Latticesmentioning

confidence: 99%

Artificial gauge fields in materials and engineered systems

Aidelsburger

Nascimbène

Goldman

2018

Comptes Rendus. Physique

228

181

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“…(41) includes H (2) c from Eq. (38) and represents the change in the zero-point energy associated with the superfluid state.…”

Section: A Bogoliubov Quasiparticlesmentioning

confidence: 99%

“…Previous work on this system has also considered the Mott insulator that should exist for strong interactions and commensurate density [7,8,27,[39][40][41]. This phase, which is very similar to its analog in the absence of a magnetic field, is favored when the Hubbard U interaction suppresses number fluctuations and eliminates the coherence between neighboring sites of lattice.…”

Section: Introductionmentioning

confidence: 99%

Bogoliubov theory of interacting bosons on a lattice in a synthetic magnetic field

et al. 2011

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We consider theoretically the problem of an artificial gauge potential applied to a cold atomic system of interacting neutral bosons in a tight-binding optical lattice. Using the Bose-Hubbard model, we show that an effective magnetic field leads to superfluid phases with simultaneous spatial order, which we analyze using Bogliubov theory. This gives a consistent expansion in terms of quantum and thermal fluctuations, in which the lowest order gives a Gross-Pitaevskii equation determining the condensate configuration. We apply an analysis based on the magnetic symmetry group to show how the spatial structure of this configuration depends on commensuration between the magnetic field and the lattice. Higher orders describe the quasiparticle excitations, whose spectrum combines the intricacy of the Hofstadter butterfly with the characteristic features of the superfluid phase. We use the depletion of the condensate to determine the range of validity of our approximations and also to find an estimate for the onset of the Mott insulator phase. Our theory provides concrete experimental predictions for both time-of-flight imagery and Bragg spectroscopy.

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“…The common ingredient in both sets of investigations is the presence of long-range interactions. There have also been various works focusing on how an artificial gauge field in a dipolar BEC influences the boundaries between Mott-insulator and supersolid regimes [298,299], and how staggered fluxes lead to supersolid phases with staggered vortex phases [300]. However, there does not appear to have been much investigation into the structural properties of vortices [301] and vortex lattices in the supersolid state.…”

Section: Vortex Lattices In the Supersolid Phasementioning

confidence: 99%

Vortices and vortex lattices in quantum ferrofluids

Martin

Marchant

O’Dell

et al. 2017

J. Phys.: Condens. Matter

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The experimental realization of quantum-degenerate Bose gases made of atoms with sizeable magnetic dipole moments has created a new type of fluid, known as a quantum ferrofluid, which combines the extraordinary properties of superfluidity and ferrofluidity. A hallmark of superfluids is that they are constrained to rotate through vortices with quantized circulation. In quantum ferrofluids the long-range dipolar interactions add new ingredients by inducing magnetostriction and instabilities, and also affect the structural properties of vortices and vortex lattices. Here we give a review of the theory of vortices in dipolar Bose-Einstein condensates, exploring the interplay of magnetism with vorticity and contrasting this with the established behaviour in non-dipolar condensates. We cover single vortex solutions, including structure, energy and stability, vortex pairs, including interactions and dynamics, and also vortex lattices. Our discussion is founded on the mean-field theory provided by the dipolar Gross-Pitaevskii equation, ranging from analytic treatments based on the Thomas-Fermi (hydrodynamic) and variational approaches to full numerical simulations. Routes for generating vortices in dipolar condensates are discussed, with particular attention paid to rotating condensates, where surface instabilities drive the nucleation of vortices, and lead to the emergence of rich and varied vortex lattice structures. We also present an outlook, including potential extensions to degenerate Fermi gases, quantum Hall physics, toroidal systems and the Berezinskii-Kosterlitz-Thouless transition.

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Cold atoms in a rotating optical lattice with nearest-neighbor interactions

Cited by 15 publications

References 40 publications

Artificial gauge fields in materials and engineered systems

Artificial gauge fields in materials and engineered systems

Bogoliubov theory of interacting bosons on a lattice in a synthetic magnetic field

Vortices and vortex lattices in quantum ferrofluids

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