Dynamical engineering of interactions in qudit ensembles

Abstract

We propose and analyze a method to engineer effective interactions in an ensemble of d-level systems (qudits) driven by global control fields. In particular, we present (i) a necessary and sufficient condition under which a given interaction can be turned off (decoupled), (ii) the existence of a universal sequence that decouples any (cancellable) interaction, and (iii) an efficient algorithm to engineer a target Hamiltonian from an initial Hamiltonian (if possible). As examples, we provide a 6-pulse sequence that decouples effective spin-1 dipolar interactions and demonstrate that a spin- 1 Ising chain can be engineered to study transitions among three distinct symmetry protected topological phases.

6+7 pages, 2+2 figures

References in corpus (6)

• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
• Universal dynamical decoupling of a single solid-state spin from a spin bath
• Equilibrium states of generic quantum systems subject to periodic driving
• Periodically driven ergodic and many-body localized quantum systems
• Experimental Realization of a Quantum Integer-Spin Chain with Controllable Interactions

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