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Simulating nonlinear spin models in an ion trap

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abstract

We show how a conditional displacement of the vibrational mode of trapped ions can be used to simulate nonlinear collective and interacting spin systems including nonlinear tops and Ising models (a universal two qubit gate), independent of the vibrational state of the ion. Thus cooling to the vibrational ground state is unnecessary provided the heating rate is not too large.

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  • Disordering a permutation symmetric system: revivals, thermalization and chaos quant-ph · 2025-05-30 · conditional · none · ref 51 · internal anchor

    Adding disorder to the permutation-symmetric kicked top gradually destroys quantum revivals and drives the dynamics from the N+1 symmetric subspace into a chaotic, full 2^N Hilbert space, with entanglement saturating to random-matrix values.