String order via Floquet interactions in atomic systems

Abstract

We study the transverse-field Ising model with interactions that are modulated in time. In a rotating frame, the system is described by a time-independent Hamiltonian with many-body interactions, similar to the cluster Hamiltonians of measurement-based quantum computing. In one dimension, there is a three-body interaction, which leads to string order instead of conventional magnetic order. We show that the string order is robust to power-law interactions that decay with the cube of distance. In two and three dimensions, there are five- and seven-body interactions. We discuss adiabatic preparation of the ground state as well as experimental implementation with trapped ions, Rydberg atoms, and polar molecules.

8 pages, 6 figures

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• Two-level systems driven by large-amplitude fields
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• Nonequilibrium Quantum Phase Transitions in the Ising Model
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Cited by in corpus (10)

• Floquet symmetry-protected topological phases in cold atomic systems
• Identification of symmetry-protected topological states on noisy quantum computers
• Genuine Multipartite Entanglement in the $3$-Photon Decay of Positronium
• Quantum simulation of three-body interactions in weakly driven quantum systems
• Spin and topological order in a periodically driven spin chain
• Imaginary time evolution with quantum nondemolition measurements: multi-qubit interactions via measurement nonlinearities
• n-cluster models in a transverse magnetic field
• Floquet engineering from long-range to short-range interactions
• Tailored jump operators for purely dissipative quantum magnetism
• Complete characterization of spin chains with two Ising symmetries