Simulating the Haldane Phase in Trapped Ion Spins Using Optical Fields

Abstract

We propose to experimentally explore the Haldane phase in spin-one XXZ antiferromagnetic chains using trapped ions. We show how to adiabatically prepare the ground states of the Haldane phase, demonstrate their robustness against sources of experimental noise, and propose ways to detect the Haldane ground states based on their excitation gap and exponentially decaying correlations, nonvanishing nonlocal string order, and doubly-degenerate entanglement spectrum.

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• Causality and quantum criticality in long-range lattice models
• Long-range Heisenberg models in quasi-periodically driven crystals of trapped ions
• Universal anti-Kibble-Zurek scaling in fully-connected systems
• Quantum Kibble-Zurek physics in long-range transverse-field Ising models
• Continuous dynamical decoupling utilizing time-dependent detuning
• 2D ion crystals in radiofrequency traps for quantum simulation
• A robust scheme for the implementation of the quantum Rabi model in trapped ions
• Non-thermalization in trapped atomic ion spin chains
• Symmetry-protected dissipative preparation of matrix product states
• Fully robust qubit in atomic and molecular three-level systems
• Destruction of string order after a quantum quench
• Constructing the spin-1 Haldane phase on a qudit quantum processor
• Achieving continuously tunable critical exponents for long-range spin systems simulated with trapped ions
• The bilinear-biquadratic model on the complete graph
• Proposal for high-fidelity quantum simulation using a hybrid dressed state
• Detection of quantum phase transition in spin-1 chain through multipartite high-order correlations
• Quantum Simulation of Spin-1 XXZ-Heisenberg Models and the Haldane Phase with Dysprosium
• Emergent incommensurate correlations in the frustrated ferromagnetic spin-1 chains
• Robust entanglement by continuous dynamical decoupling of the J-coupling interaction