# Simulating the Haldane phase in trapped-ion spins using optical fields

@article{Cohen2015SimulatingTH, title={Simulating the Haldane phase in trapped-ion spins using optical fields}, author={Itsik Cohen and Philip Richerme and Zhe-Xuan Gong and Christopher R. Monroe and Alex Retzker}, journal={Physical Review A}, year={2015}, volume={92}, pages={012334} }

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.

## 16 Citations

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Utilizing optimal control to simulate a model Hamiltonian is an emerging strategy that leverages the intrinsic physics of a device with digital quantum simulation methods. Here we evaluate optimal…

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Quantum phase transitions are usually classified into discrete universality classes that typically only depend on symmetries and spatial dimensionalities. In this Letter, we demonstrate an…

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### Robust entanglement by continuous dynamical decoupling of the J-coupling interaction

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We propose a σ z ⊗ σ z laser-free entangling gate which uses the intrinsic J-coupling of ions in a static magnetic gradient. Dephasing of the interaction is suppressed by means of continuous…

### Programmable quantum simulations of spin systems with trapped ions

- Physics
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Author(s): Monroe, C; Campbell, WC; Duan, LM; Gong, ZX; Gorshkov, AV; Hess, PW; Islam, R; Kim, K; Linke, NM; Pagano, G; Richerme, P; Senko, C; Yao, NY | Abstract: Laser-cooled and trapped atomic ions…

### Continuous dynamical decoupling utilizing time‐dependent detuning

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Resilience to noise and to decoherence processes is an important ingredient for the implementation of quantum information processing, and quantum technologies. To this end, techniques such as pulsed…

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