Quantum simulation of many-body spin interactions with ultracold polar molecules

Abstract

We present an architecture for the quantum simulation of many-body spin interactions based on ultracold polar molecules trapped in optical lattices. Our approach employs digital quantum simulation, i.e., the dynamics of the simulated system is reproduced by the quantum simulator in a stroboscopic pattern, and allows to simulate both coherent and dissipative dynamics. We discuss the realization of Kitaev's toric code Hamiltonian, a paradigmatic model involving four-body interactions, and we analyze the requirements for an experimental implementation.

6 pages, 5 figures

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Cited by in corpus (10)

• Quantum control of molecular rotation
• Manipulation of Molecules with Electromagnetic Fields
• Variational principle for steady states of dissipative quantum many-body systems
• Robustness of Topological Order in the Toric Code with Open Boundaries
• Dissipative Preparation of Antiferromagnetic Order in the Fermi-Hubbard Model
• Compass and Kitaev models -- Theory and Physical Motivations
• Tailored jump operators for purely dissipative quantum magnetism
• Controllable quantum spin glasses with magnetic impurities embedded in quantum solids
• Quantum Zeno-based Detection and State Engineering of Ultracold Polar Molecules
• Quantum annealing with pairs of ${}^2\Sigma$ molecules as qubits