Simulating quantum magnets with symmetric top molecules

Wall, Michael L.; Maeda, Kenji; Carr, Lincoln D.

doi:10.1002/andp.201300105

Cited by 59 publications

(85 citation statements)

References 128 publications

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“…On the other hand, if ω ⊥ is not too large, interesting transverse effects may occur, such as the Einstein-de Haas effect [27,28,29,30], the consideration of which is beyond the scope of the present work.…”

Section: The Derivation Of the 1d Gross-pitaevskii Equationmentioning

confidence: 92%

Bright solitons in Bose–Einstein condensates with field-induced dipole moments

Abdullaev

Gammal

Malomed

et al. 2014

J. Phys. B: At. Mol. Opt. Phys.

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Abstract. We introduce an effectively one-dimensional (1D) model of a bosonic gas of particles carrying collinear dipole moments which are induced by an external polarizing field with the strength periodically modulated along the coordinate, which gives rise to an effective nonlocal nonlinear lattice in the condensate. The existence, shape and stability of bright solitons, appearing in this model, are investigated by means of the variational approximation and numerical methods. The mobility of solitons and interactions between them are studied too.

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Section: The Derivation Of the 1d Gross-pitaevskii Equationmentioning

confidence: 92%

Bright solitons in Bose–Einstein condensates with field-induced dipole moments

Abdullaev

Gammal

Malomed

et al. 2014

J. Phys. B: At. Mol. Opt. Phys.

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“…6, STMs display a linear coupling to an external electric field. This allows STMs to behave like elemental magnetic dipoles, leading to a large number of quantum simulation prospects 144 . For example, STMs in static fields can realize models of arbitrarily large integer spins interacting through anisotropic, long-range interactions 144 .…”

Section: Future Prospectsmentioning

confidence: 99%

“…This allows STMs to behave like elemental magnetic dipoles, leading to a large number of quantum simulation prospects 144 . For example, STMs in static fields can realize models of arbitrarily large integer spins interacting through anisotropic, long-range interactions 144 . We note that STMs do not have to contain more than two atoms; diatomic molecules with orbital angular momentum projection |Λ| > 0 such as the 2 Rb, for example, has 36 hyperfine states.)…”

Section: Future Prospectsmentioning

confidence: 99%

Quantum Magnetism with Ultracold Molecules

Malinovskaya¹,

Novikova²,

Wall³

et al. 2015

From Atomic to Mesoscale

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This article gives an introduction to the realization of effective quantum magnetism with ultracold molecules in an optical lattice, reviews experimental and theoretical progress, and highlights future opportunities opened up by ongoing experiments. Ultracold molecules offer capabilities that are otherwise difficult or impossible to achieve in other effective spin systems, such as long-ranged spin-spin interactions with controllable degrees of spatial and spin anisotropy and favorable energy scales. Realizing quantum magnetism with ultracold molecules provides access to rich many-body behaviors, including many exotic phases of matter and interesting excitations and dynamics. Farfrom-equilibrium dynamics plays a key role in our exposition, just as it did in recent ultracold molecule experiments realizing effective quantum magnetism. In particular, we show that dynamical probes allow the observation of correlated many-body spin physics, even in polar molecule gases that are not quantum degenerate. After describing how quantum magnetism arises in ultracold molecules and discussing recent observations of quantum magnetism with polar molecules, we survey prospects for the future, ranging from immediate goals to long-term visions. Contents

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“…Dipolar atoms and molecules loaded in optical lattices are a promising platform to study quantum many-body physics [1,2], and, in particular, quantum magnetism [3][4][5][6][7][8]. In dipolar systems, direct spin-spin interactions are provided by the dipole-dipole interaction (DDI) without relying on a superexchange mechanism [9].…”

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confidence: 99%

Probing spin dynamics from the Mott insulating to the superfluid regime in a dipolar lattice gas

et al. 2016

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We analyze the spin dynamics of an out-of-equilibrium large spin dipolar atomic Bose gas in an optical lattice. We observe a smooth crossover from a complex oscillatory behavior to an exponential behavior throughout the Mott-to-superfluid transition. While both of these regimes are well described by our theoretical models, we provide data in the intermediate regime where dipolar interactions, contact interactions, and superexchange mechanisms compete. In this strongly correlated regime, spin dynamics and transport are coupled, which challenges theoretical models for quantum magnetism. DOI: 10.1103/PhysRevA.93.021603 Dipolar atoms and molecules loaded in optical lattices are a promising platform to study quantum many-body physics [1,2], and, in particular, quantum magnetism [3][4][5][6][7][8]. In dipolar systems, direct spin-spin interactions are provided by the dipole-dipole interaction (DDI) without relying on a superexchange mechanism [9]. Although magnetization changing collisions associated with the anisotropic character of dipolar interactions may introduce interesting exotic quantum phases [10][11][12][13], these off-resonant processes are often negligible. Then, dipolar interactions reduce to the following Hamiltonian,where2 (μ 0 being the magnetic permeability of vacuum, g the Landé factor, and μ B the Bohr magneton), r is the distance between atoms, θ 1,2 the angle between the magnetic field and the interatomic axis, and S ±,z i are the spin operators acting on atom i. This Hamiltonian, known as the secular dipolar Hamiltonian in the context of nuclear magnetic resonance [14], bears strong similarities to the XXZ model of quantum magnetism [9].Experimental investigations of such spin Hamiltonians have recently started, with dipolar molecules [15], and magnetic [16] and Rydberg [17] atoms, which have raised great interest [8,[10][11][12][13]18]. While these studies have focused on a localized regime where the particles are pinned to a well-defined position, in this Rapid Communication we investigate the case where magnetic atoms are free to move in an optical lattice. Thus spin dynamics and transport are coupled due to an interplay between superexchange mechanisms and dipolar spin exchange. Our experiment provides data in this regime which challenges theoretical descriptions.We study the spin-exchange dynamics of magnetic chromium 52 Cr bosonic atoms loaded in a three-dimensional (3D) optical lattice, across the Mott-to-superfluid transition [19]. We observe, as a function of the lattice depth, a crossover between two distinct behaviors. In the Mott phase, the spin dynamics displays a complex oscillatory behavior, as already studied in Ref. [16]. Although the physics is inherently many body due to strong correlations and the long-range nature of the dipolar interactions, we provide a quantitative interpretation of the oscillations due to intersite DDIs, using a simple model based on perturbation theory. In the superfluid regime, the spin dynamics shows an exponential behavior. Our data are then in go...

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Simulating quantum magnets with symmetric top molecules

Cited by 59 publications

References 128 publications

Bright solitons in Bose–Einstein condensates with field-induced dipole moments

Bright solitons in Bose–Einstein condensates with field-induced dipole moments

Quantum Magnetism with Ultracold Molecules

Probing spin dynamics from the Mott insulating to the superfluid regime in a dipolar lattice gas

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