# Quantum simulation and phase diagram of the transverse-field Ising model with three atomic spins

@article{Edwards2010QuantumSA, title={Quantum simulation and phase diagram of the transverse-field Ising model with three atomic spins}, author={Emily E. Edwards and Simcha Korenblit and K. W. Kim and Rajibul Islam and M.-S. Chang and James K. Freericks and Guin-Dar Lin and Luming Duan and Christopher R. Monroe}, journal={Physical Review B}, year={2010}, volume={82}, pages={060412} }

Abstract : We perform a quantum simulation of the Ising model with a transverse field using a collection of three trapped atomic ion spins. By adiabatically manipulating the Hamiltonian, we directly probe the ground state for a wide range of fields and form of the Ising couplings, leading to a phase diagram of magnetic order in this microscopic system. The technique is scalable to much larger numbers of trapped ion spins, where phase transitions approaching the thermodynamic limit can be…

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