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Quantum Simulation

Sensitivity to small perturbations in systems of large quantum spins

arXiv
Authors: Tarek A. Elsayed, Boris V. Fine

Year

2014

Paper ID

47488

Status

Preprint

Abstract Read

~2 min

Abstract Words

95

Citations

N/A

Abstract

We investigate the sensitivity of nonintegrable large-spin quantum lattices to small perturbations with a particular focus on the time reversal experiments known in statistical physics as "Loschmidt echoes" and in nuclear magnetic resonance (NMR) as "magic echoes". Our numerical simulations of quantum spin-7frac{1}{2} clusters indicate that there is a regime, where Loschmidt echoes exhibit nearly exponential sensitivity to small perturbations with characteristic constant approximately equal to twice the value of the largest Lyapunov exponent of the corresponding classical spin clusters. The above theoretical results are verifiable by NMR experiments on solids containing large-spin nuclei.

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  • We investigate the sensitivity of nonintegrable large-spin quantum lattices to small perturbations with a particular focus on the time reversal experiments known in statistical...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1409.4763 [2] arXiv https://arxiv.org/abs/1409.4763 [3] Publisher https://arxiv.org/abs/1409.4763

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