Photon-Assisted-Tunneling Toolbox for Quantum Simulations in Ion Traps

Abstract

We describe a versatile toolbox for the quantum simulation of many-body lattice models, capable of exploring the combined effects of background Abelian and non-Abelian gauge fields, bond and site disorder, and strong on-site interactions. We show how to control the quantum dynamics of particles trapped in lattice potentials by the photon-assisted tunneling induced by periodic drivings. This scheme is general enough to be applied to either bosons or fermions with the additional advantage of being non-perturbative. It finds an ideal application in microfabricated ion trap arrays, where the quantized vibrational modes of the ions can be described by a quantum lattice model. We present a detailed theoretical proposal for a quantum simulator in that experimental setup, and show that it is possible to explore phases of matter that range from the fractional quantum Hall effect, to exotic strongly-correlated glasses, or flux-lattice models decorated with arbitrary patterns of localized defects.

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Cited by in corpus (29)

• Atomic quantum gases in periodically driven optical lattices
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Topological Phases of Sound and Light
• Artificial gauge fields in materials and engineered systems
• Quantum simulation of a lattice Schwinger model in a chain of trapped ions
• Periodically-driven quantum matter: the case of resonant modulations
• Controlling and measuring quantum transport of heat in trapped-ion crystals
• Topological Amplification in Photonic Lattices
• Effective magnetic fields for photons in waveguide and coupled resonator lattices
• Quasi-periodically driven quantum systems
• Quantum walks of a phonon in trapped ions
• Experimental realization of strong effective magnetic fields in optical superlattice potentials
• Quantum annealing for the number partitioning problem using a tunable spin glass of ions
• Optical trapping of ion Coulomb crystals
• Topological input-output theory for directional amplification
• Floquet-engineered vibrational dynamics in a two-dimensional array of trapped ions
• Quantum Magnetism of Spin-Ladder Compounds with Trapped-Ion Crystals
• Interference in a Prototype of a two-dimensional Ion Trap Array Quantum Simulator
• Quantum simulations with complex geometries and synthetic gauge fields in a trapped ion chain
• Controlling the potential landscape and normal modes of ion Coulomb crystals by a standing wave optical potential
• Generalized Su-Schrieffer-Heeger model in one dimensional optomechanical arrays
• Driven-dissipative topological phases in parametric resonator arrays
• Motional-Mode Analysis of Trapped Ions
• Universal quantum computation with symmetric qubit clusters coupled to an environment
• Estimating heating times in periodically driven quantum many-body systems via avoided crossing spectroscopy
• Energy transport in the presence of entanglement
• Perfect Zitterbewegung oscillations in the Kitaev chain system
• Topological phases of shaken quantum Ising lattices