## Abstract

We show that indirect spin-spin interactions between effective spin-1/2 systems can be realized in two parallel one-dimensional optical lattices loaded with polar molecules and/or Rydberg atoms. The effective spin can be encoded into low-energy rotational states of polar molecules or long-lived states of Rydberg atoms, tightly trapped in a deep optical lattice. The spin-spin interactions can be mediated by Rydberg atoms, placed in a parallel shallow optical lattice, interacting with the effective spins by charge-dipole (for polar molecules) or dipole-dipole (for Rydberg atoms) interaction. Indirect XX, Ising, and XXZ interactions with interaction coefficients J and Jzz sign varying with interspin distance can be realized, in particular, the J1-J2 XXZ model with frustrated ferro-(antiferro-)magnetic nearest (next-nearest) neighbor interactions.

Original language | English |
---|---|

Article number | 043609 |

Number of pages | 23 |

Journal | Physical Review A |

Volume | 98 |

Issue number | 4 |

DOIs | |

Publication status | Published - 5 Oct 2018 |

## Keywords

- LAYERED MAGNETIC-STRUCTURES
- NEURAL-NETWORK MODEL
- MANY-BODY SYSTEM
- EXCHANGE INTERACTIONS
- QUANTUM SIMULATOR
- OPTICAL LATTICE
- STATE
- ANTIFERROMAGNETISM
- MAGNETORESISTANCE
- FERROMAGNETISM