2025/11/17 by Avadhut V. Purohit, Avadhut V Purohit, Udaysinh T. Bhosale +2
Physics and Astronomy · Computer Science · #Quantum many-body systems #Quantum chaos and dynamical systems #Quantum Computing Algorithms and Architecture
paper · pdf · doi:10.1103/nk7g-ckb8
We study exact quantum recurrences in the double kicked top (DKT), a driven spin model that extends the quantum kicked top (QKT) by introducing an additional time-reversal symmetry-breaking kick. Reformulating its dynamics in terms of effective parameters kr and kθ, we analytically show exact periodicity of the Floquet operator for kr = jπ/2 and kr = jπ/4 with distinct periods for integer and half-odd integer j. These exact recurrences were found to be independent of kθ. The long-time-averaged entanglement and fidelity rate function show dynamical quantum phase transition (DQPT) for kr = jπ/2 at time-reversal symmetric cases kθ= ± kr. In the other time-reversal symmetric case kθ= 0, the DQPT exists only for a half-odd integer j. Using level statistics, a smooth transition is observed from integrable to non-integrable nature as kr is changed away from jπ/2. Our work demonstrates that regular and chaotic regimes can be controlled for any system size by tuning kr and kθ, making the DKT a useful platform for quantum control and information processing applications.