Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0512222 · Nature Physics

A toolbox for lattice-spin models with polar molecules

Andrea Micheli, Gavin K. Brennen, P. Zoller

Published Apr 30, 2006• 1,077 citations
arXivHTMLPDF
DOI
10.1038/nphys287

Related papers

Observation of dipolar spin-exchange interactions with lattice-confined polar molecules

Bo Yan, Steven A. Moses, Bryce Gadway +5 more

arXiv:1305.5598•Nature•Sep 1, 2013•897 citations

Dipole-dipole interaction-induced spin-orbit coupling of polar molecules in optical lattices

Michael L. Wall, Sergey Syzranov, Ana María Rey

Bulletin of the American Physical Society•Jun 5, 2014•0 citations

Toward spin physics with polar molecules in 2D

Kyle Matsuda, Giacomo Valtolina, Luigi De Marco +3 more

Bulletin of the American Physical Society•May 30, 2019•0 citations

Anisotropic Spin Models with Polar Molecules in Optical Lattices

Andrea Micheli, Gavin K. Brennen, P. Zoller

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 dimensions. Here we show that relevant Hamiltonians can be systematically engineered with polar molecules stored in optical lattices, where the spin is represented by a single electron outside a closed shell of a heteronuclear molecule in its rotational ground state. Combining microwave excitation with the dipole-dipole interactions and spin-rotation couplings allows us to build a complete toolbox for effective two-spin interactions with designable range and spatial anisotropy, and with coupling strengths significantly larger than relevant decoherence rates. As an illustration we discuss two models: a 2D square lattice with an energy gap providing for protected quantum memory, and another on stacked triangular lattices leading to topological quantum computing.

•Dec 23, 2005•0 citations

Designing spin-1 lattice models using polar molecules

Gavin K. Brennen, Andrea Micheli, P. Zoller

Abstract. We describe how to design a large class of always on spin−1 interactions between polar molecules trapped in an optical lattice. The spin degrees of freedom correspond to the hyperfine levels of a ro-vibrational ground state molecule. Interactions are induced using a microwave field to mix ground states in one hyperfine manifold with the spin entangled dipoledipole coupled excited states. Using multiple fields anistropic models in one, two, or three dimensions, can be built with tunable spatial range. An illustrative example in one dimension is the generalized Haldane model, which at a specific parameter has a gapped valence bond solid ground state. The interaction strengths are large compared to decoherence rates and should allow for probing the rich phase structure of strongly correlated systems, including dimerized and gapped phases. PACS numbers: 75.10.Jm, 74.20.Mn, 34.20GjDesigning spin−1 lattice models using polar molecules 2 1.

•Jan 1, 2006•29 citations

Machine-defined lattice spin models

C. H. Woo

Physics Letters A•Jun 1, 1986•1 citation
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 dimensions. Here we show that relevant Hamiltonians can be systematically engineered with polar molecules stored in optical lattices, where the spin is represented by a single electron outside a closed shell of a heteronuclear molecule in its rotational ground state. Combining microwave excitation with the dipole-dipole interactions and spin-rotation couplings allows us to build a complete toolbox for effective two-spin interactions with designable range and spatial anisotropy, and with coupling strengths significantly larger than relevant decoherence rates. As an illustration we discuss two models: a 2D square lattice with an energy gap providing for protected quantum memory, and another on stacked triangular lattices leading to topological quantum computing.
Abstract. We describe how to design a large class of always on spin−1 interactions between polar molecules trapped in an optical lattice. The spin degrees of freedom correspond to the hyperfine levels of a ro-vibrational ground state molecule. Interactions are induced using a microwave field to mix ground states in one hyperfine manifold with the spin entangled dipoledipole coupled excited states. Using multiple fields anistropic models in one, two, or three dimensions, can be built with tunable spatial range. An illustrative example in one dimension is the generalized Haldane model, which at a specific parameter has a gapped valence bond solid ground state. The interaction strengths are large compared to decoherence rates and should allow for probing the rich phase structure of strongly correlated systems, including dimerized and gapped phases. PACS numbers: 75.10.Jm, 74.20.Mn, 34.20GjDesigning spin−1 lattice models using polar molecules 2 1.