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We show how to use polar molecules in an optical lattice to engineer quantum spin models with arbitrary spin S >= 1/2 and with interactions featuring a direction-dependent spin anisotropy. This is achieved by encoding the effective spin…

We show that ultracold polar molecules pinned in an optical lattice can be used to access a variety of exotic spin models, including the Kitaev honeycomb model. Treating each molecule as a rigid rotor, we use DC electric and microwave…

Quantum Gases · Physics 2015-06-12 Alexey V. Gorshkov , Kaden R. A. Hazzard , Ana Maria Rey

We establish a correspondence between the electric dipole matrix elements of a polyatomic symmetric top molecule in a state with nonzero projection of the total angular momentum on the symmetry axis of the molecule and the magnetic dipole…

Quantum Gases · Physics 2015-03-20 Michael L Wall , Kenji Maeda , Lincoln D Carr

With the recent production of polar molecules in the quantum regime, long-range dipolar interactions are expected to facilitate the understanding of strongly interacting many-body quantum systems and to realize lattice spin models for…

Laser cooled lanthanide atoms are ideal candidates with which to study strong and unconventional quantum magnetism with exotic phases. Here, we use state-of-the-art closed-coupling simulations to model quantum magnetism for pairs of…

Atomic Physics · Physics 2018-06-06 Ming Li , Eite Tiesinga , Svetlana Kotochigova

There is growing interest to investigate states of matter with topological order, which support excitations in the form of anyons, and which underly topological quantum computing. Examples of such systems include lattice spin models in two…

Quantum Physics · Physics 2007-05-23 A. Micheli , G. K. Brennen , P. Zoller

We consider bosonic dipolar molecules in an optical lattice prepared in a mixture of different rotational states. The 1/r^3 interaction between molecules for this system is produced by exchanging a quantum of angular momentum between two…

Strongly Correlated Electrons · Physics 2009-11-11 Ryan Barnett , Dmitry Petrov , Mikhail Lukin , Eugene Demler

Research on quantum magnetism with ultra-cold gases in optical lattices is expected to open fascinating perspectives for the understanding of fundamental problems in condensed-matter physics. Here we report on the first realization of…

We present a technique for engineering quantum magnets via ultracold polar molecules in optical lattices and explore exotic interplay between its spin superfluidity and solidity. The molecular ground and first excited rotational states are…

Quantum Gases · Physics 2009-10-27 Hongyi Yu , W. M. Liu , Chaohong Lee

We describe a general technique that allows to induce and control strong interaction between spin states of neighboring atoms in an optical lattice. We show that the properties of spin exchange interactions, such as magnitude, sign, and…

Soft Condensed Matter · Physics 2009-11-07 L. -M. Duan , E. Demler , M. D. Lukin

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…

Quantum Gases · Physics 2015-09-02 M. L. Wall , K. R. A. Hazzard , A. M. Rey

We show how a broad class of lattice spin-1/2 models with angular- and distance-dependent couplings can be realized with cold alkali atoms stored in optical or magnetic trap arrays. The effective spin-1/2 is represented by a pair of atomic…

Simple models of interacting spins play an important role in physics. They capture the properties of many magnetic materials, but also extend to other systems, such as bosons and fermions in a lattice, systems with gauge fields, high-Tc…

We show that dipolar interactions between ultracold polar alkali dimers in optical lattices can be used to realize a highly tunable generalization of the t-J model, which we refer to as the t-J-V-W model. The model features long-range…

We study the strong-field interaction of a helical bi-chromatic pump with an anisotropic and inhomogeneous molecular system in the form of planar distribution of radially aligned molecular ensemble. This setting gives rise to macroscopic…

Chemical Physics · Physics 2026-02-13 Uriel Zanzuri , Sharly Fleischer , Tamar Seideman , Eldad Yahel , Amir Natan , Alon Bahabad

We show that indirect spin-spin interactions between effective spin-1/2 systems can be realized in two parallel 1D optical lattices loaded with polar molecules and/or Rydberg atoms. The effective spin can be encoded into low-energy…

Due to their intrinsic electric dipole moments and rich internal structure, ultracold polar molecules are promising candidate qubits for quantum computing and for a wide range of quantum simulations. Their long-lived molecular rotational…

We consider layered decorated honeycomb lattices at two-thirds filling, as realized in some trinuclear organometallic complexes. Localized $S=1$ moments with a single-spin anisotropy emerge from the interplay of Coulomb repulsion and spin…

Strongly Correlated Electrons · Physics 2017-11-15 J. Merino , A. C. Jacko , A. L. Khosla , B. J. Powell

Anisotropic superexchange interaction is one of the most important interactions in realizing exotic quantum magnetism, which is traditionally regarded to originate from magnetic ions and has no relation with the nonmagnetic ions. In our…

Strongly Correlated Electrons · Physics 2020-10-13 Jun Chang , Jize Zhao , Yang Ding

We show that ultracold polar diatomic or linear molecules, oriented in an external electric field and mutually coupled by dipole-dipole interactions, can be used to realize the exact Heisenberg XYZ, XXZ and XY models without invoking any…

Quantum Physics · Physics 2022-11-09 Wenjing Yue , Qi Wei , Sabre Kais , Bretislav Friedrich , Dudley Herschbach
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