Floquet Recurrences in the Double Kicked Top

• URL: http://arxiv.org/abs/2511.13342v1
• Date: Mon, 17 Nov 2025 13:10:45 GMT
• Title: Floquet Recurrences in the Double Kicked Top
• Abstract summary: We study exact quantum recurrences in the double kicked top (DKT)<n>We analytically show exact periodicity of the Floquet operator for $k_r = j/2$ and $k_r = j/4$.<n>Our work demonstrates that regular and chaotic regimes can be controlled for any system size by tuning $k_r$ and $k_$.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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 $k_r$ and $k_θ$, we analytically show exact periodicity of the Floquet operator for $k_r = jπ/2$ and $k_r = jπ/4$ with distinct periods for integer and half-odd integer $j$. These exact recurrences were found to be independent of $k_θ$. The long-time-averaged entanglement and fidelity rate function show dynamical quantum phase transition (DQPT) for $k_r = jπ/2$ at time-reversal symmetric cases $k_θ= \pm k_r$. In the other time-reversal symmetric case $k_θ= 0$, 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 $k_r$ is changed away from $jπ/2$. Our work demonstrates that regular and chaotic regimes can be controlled for any system size by tuning $k_r$ and $k_θ$, making the DKT a useful platform for quantum control and information processing applications.

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