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Physica A Statistical Mechanics and its Applications

Integrable-chaos crossover in the spin- 1∕2 XXZ chain with cluster interaction

S. Moshfegh, Atefeh Ashouri, S. Mahdavifar, Javad Vahedi

Published Nov 2, 2018• 8 citations
Publisher
DOI
10.1016/j.physa.2018.10.046

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Integrable-chaos crossover in the spin-1∕2 XXZ chain with cluster interaction

Moshfegh, S., Ashouri, A., Mahdavifar, S. +1 more

Recent progress in the field of quantum magnets has shown that a wide variety of novel spin model can be generated with exploiting the optical lattices. Among them the spin cluster interaction gets some attention. In this work, we have considered a spin-1∕2 XXZ Heisenberg chain with added cluster interaction. In the absence of the cluster interaction, the XXZ chain is solvable by Bethe ansatz. Introducing a small defect in the middle of chain drives the XXZ model to the chaotic phase not for strong anisotropic parameter. Using the numerical full diagonalization method, we have shown that in presence of a cluster interaction, how quantum chaos may develop even for strong Ising interaction region. In addition, the effect of the cluster length and strength on the crossover from the integrable to the chaotic regime is also addressed.

•Jan 1, 2019•0 citations
Recent progress in the field of quantum magnets has shown that a wide variety of novel spin model can be generated with exploiting the optical lattices. Among them the spin cluster interaction gets some attention. In this work, we have considered a spin-1∕2 XXZ Heisenberg chain with added cluster interaction. In the absence of the cluster interaction, the XXZ chain is solvable by Bethe ansatz. Introducing a small defect in the middle of chain drives the XXZ model to the chaotic phase not for strong anisotropic parameter. Using the numerical full diagonalization method, we have shown that in presence of a cluster interaction, how quantum chaos may develop even for strong Ising interaction region. In addition, the effect of the cluster length and strength on the crossover from the integrable to the chaotic regime is also addressed.