2020/07/27 by Sanku Paul, Arnd Bäcker · 12 citations
Mathematics · Physics and Astronomy · #Chaos control and synchronization #Chaotic #Coherence (philosophical gambling strategy) #Entropy (arrow of time) #Entropy production #Exponential function #Exponential growth #Logarithm #Logarithmic growth #Mathematical analysis #Mathematics #Physics #Quantum #Quantum chaos and dynamical systems #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Statistical physics #quant-ph
paper · pdf · doi:10.1103/physreve.102.050102
published in Physical review. E 102(5), 050102 (American Physical Society) · 6 pages, 3 figures
arxiv created 2020/07/27 · openalex publication_date 2020/11/24 · arxiv updated 2020/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate entanglement growth for a pair of coupled kicked rotors. For weak coupling, the growth of the entanglement entropy is found to be initially linear followed by a logarithmic growth. We calculate analytically the time after which the entanglement entropy changes its profile, and a good agreement with the numerical result is found. We further show that the different regimes of entanglement growth are associated with different rates of energy growth displayed by a rotor. At a large time, energy grows diffusively, which is preceded by an intermediate dynamical localization. The time span of intermediate dynamical localization decreases with increasing coupling strength. We argue that the observed diffusive energy growth is the result of one rotor acting as an environment to the other, which destroys the coherence. We show that the decay of the coherence is initially exponential followed by a power law.