• Corpus ID: 246016336

Out-of-time ordered correlators in kicked coupled tops and the role of conserved quantities in information scrambling

@inproceedings{Varikuti2022OutoftimeOC,
  title={Out-of-time ordered correlators in kicked coupled tops and the role of conserved quantities in information scrambling},
  author={Naga Dileep Varikuti and Vaibhav Madhok},
  year={2022}
}

• Naga Dileep Varikuti, V. Madhok
• Published 15 January 2022
• Physics, Mathematics

We investigate the operator growth dynamics in a bipartite system of kicked coupled tops with out-of-time ordered correlators (OTOC). We numerically study OTOCs for different types of initial operators, including the case of random operators where the operators are chosen randomly from the Gaussian unitary ensemble. We observe that the presence of a conserved quantity results in different types of scrambling behaviors for various choices of initial operators depending on whether the operators commute with the symmetry operator. Moreover, the OTOCs exhibit power-law relaxation in the large Hilbert space dimension limit. When the operators are random, the averaged OTOC is related to the linear entanglement entropy of the Floquet operator, as found in earlier works. We derive a more straightforward expression for averaged OTOC when random operators commute with the symmetry operator. We observe that the rate of growth of the OTOCs, also known as the “quantum Lyapunov exponent”, correlates remarkably well with the classical Lyapunov exponents. Furthermore, we find signatures of chaos in the remarkable correspondence of the long-time average of OTOC calculated for the spin-coherent states and the classical phase space.