Quantum magnetism with polar alkali-metal dimers

Gorshkov, Alexey V.; Manmana, Salvatore R.; Chen, Gang; Demler, Eugene; Lukin, Mikhail D.; Rey, Ana María

doi:10.1103/physreva.84.033619

Cited by 187 publications

(263 citation statements)

References 117 publications

(317 reference statements)

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“…(1) could be experimentally realized by loading ultracold polar molecules into an optical lattice and applying an external dc electric field perpendicular to the plane of the lattice [30,31]. Two rotational states |m 0 and |m 1 of a molecule form the effective spin states |↑ and |↓ , respectively.…”

Section: The T-j-v -W Hamiltonianmentioning

confidence: 99%

“…Recently, it was shown that polar molecules in optical lattices can be used to simulate a highly tunable generalization of the t-J Hamiltonian, referred to as the t-J -V -W Hamiltonian [30,31]. The latter differs from the t-J Hamiltonian in the following aspects: it has anisotropic XXZ spin-spin interactions J ⊥ and J z , an independent density-density interaction V , a spin-density interaction W , and the interactions are long-range dipolar rather than nearest-neighbor.…”

Section: Introductionmentioning

confidence: 99%

“…This system can be used to implement lattice Hamiltonians based on rotational states of polar molecules [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. Specifically, two rotational states of the molecules can be used as an effective spin-1/2 degree of freedom, while dipole-dipole interactions mediate "spin"-dependent coupling between molecules.…”

Section: Introductionmentioning

confidence: 99%

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d-wave superfluidity in optical lattices of ultracold polar molecules

2011

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Recent work on ultracold polar molecules, governed by a generalization of the t-J Hamiltonian, suggests that molecules may be better suited than atoms for studying d-wave superfluidity due to stronger interactions and larger tunability of the system. We compute the phase diagram for polar molecules in a checkerboard lattice consisting of weakly coupled square plaquettes. In the simplest experimentally realizable case where there is only tunneling and an XX-type spin-spin interaction, we identify the parameter regime where d-wave superfluidity occurs. We also find that the inclusion of a density-density interaction destroys the superfluid phase and that the inclusion of a spin-density or an Ising-type spin-spin interaction can enhance the superfluid phase. We also propose schemes for experimentally realizing the perturbative calculations exhibiting enhanced d-wave superfluidity.

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Section: The T-j-v -W Hamiltonianmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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d-wave superfluidity in optical lattices of ultracold polar molecules

2011

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“…Powerful microwave dressing techniques borrowed from the polar-molecule literature [54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][72][73] can be used to access a great variety of Hamiltonians beyond the one given in Eq. (6) …”

Section: Applications To Exotic Quantum Magnetismmentioning

confidence: 99%

Controllable quantum spin glasses with magnetic impurities embedded in quantum solids

et al. 2013

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Magnetic impurities embedded in inert solids can exhibit long coherence times and interact with one another via their intrinsic anisotropic dipolar interaction. We argue that, as a consequence of these properties, disordered ensembles of magnetic impurities provide an effective platform for realizing a controllable, tunable version of the dipolar quantum spin glass seen in LiHoxY1−xF4.Specifically, we propose and analyze a system composed of dysprosium atoms embedded in solid helium. We describe the phase diagram of the system and discuss the realizability and detectability of the quantum spin glass and antiglass phases.

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“…Second, cold atoms typically interact via weak contact interactions. Spin systems with strong and long-range interactions can be achieved by admixing van der Waals interactions between Rydberg states [34,35] or by replacing atoms with dipoledipole interacting polar molecules [36][37][38]. In particular, it has been shown that the dipole-dipole interaction can give rise to topological flat bands [39,40] and fractional Chern insulators [41].…”

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confidence: 99%

Topological spin models in Rydberg lattices

2017

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control and observe atoms with single-site resolution [7][8][9][10][11][12] which makes dynamical phenomena experimentally accessible in these systems. One promising perspective is to use this set-up for investigating the rich physics of quantum magnetism [13][14][15] and strongly correlated spin systems that are extremely challenging to simulate on a classical computer. However, the simulation of magnetic phenomena with cold atoms faces two key challenges. First, neutral atoms do not experience a Lorentz force in an external magnetic field. In order to circumvent this problem, tremendous effort has been made to create artificial gauge fields for neutral atoms [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. For example, artificial magnetic fields allow one to investigate the integer [33] and fractional quantum Hall effects [27][28][29] with cold atoms, and the experimental realization of the topological Haldane model was achieved in Ref. [30]. Second, cold atoms typically interact via weak contact interactions. Spin systems with strong and long-range interactions can be achieved by admixing van der Waals interactions between Rydberg states [34,35] or by replacing atoms with dipoledipole interacting polar molecules [36][37][38]. In particular, it has been shown that the dipole-dipole interaction can give rise to topological flat bands [39,40] and fractional Chern insulators [41]. The creation of bands with Chern number C = 2 via resonant exchange interactions between polar molecules has been explored in Ref. [40].Recently, an alternative and very promising platform for the simulation of strongly correlated spin systems has emerged [42]. Here resonant dipole-dipole interactions between Rydberg atoms [43] enable quantum simulations of spin systems at completely different length scales compared with polar molecules. For example, the experiment in Ref. [42] demonstrated the realization of the XY Hamiltonian for a chain of atoms and with a lattice spacing of the order of 20 µm. At these length scales, light modulators Abstract We show that resonant dipole-dipole interactions between Rydberg atoms in a triangular lattice can give rise to artificial magnetic fields for spin excitations. We consider the coherent dipole-dipole coupling between np and ns Rydberg states and derive an effective spin-1/2 Hamiltonian for the np excitations. By breaking time-reversal symmetry via external fields, we engineer complex hopping amplitudes for transitions between two rectangular sublattices. The phase of these hopping amplitudes depends on the direction of the hop. This gives rise to a staggered, artificial magnetic field which induces non-trivial topological effects. We calculate the single-particle band structure and investigate its Chern numbers as a function of the lattice parameters and the detuning between the two sub-lattices. We identify extended parameter regimes where the Chern number of the lowest band is C = 1 or C = 2.

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Quantum magnetism with polar alkali-metal dimers

Cited by 187 publications

References 117 publications

d-wave superfluidity in optical lattices of ultracold polar molecules

d-wave superfluidity in optical lattices of ultracold polar molecules

Controllable quantum spin glasses with magnetic impurities embedded in quantum solids

Topological spin models in Rydberg lattices

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