The Quantum Signature of Chaos through the Dynamics of Entanglement in Classically Regular and Chaotic Systems
نویسنده
چکیده
We demonstrate the dependence of the entanglement dynamics on the global classical regime of regular, mixed and chaotic dynamics with initial squeezed coherent states. By squeezing the initial states, we are able to enhance or suppress the entanglement entropy of the dynamically generated quantum states relative to those produced via initial coherent states. This suggests the possibility of exploiting a judicious selection of initial squeezed states to create quantum states with enhanced entanglement entropy dynamically for the purpose of robust quantum information processing.
منابع مشابه
Entanglement as a signature of quantum chaos.
We explore the dynamics of entanglement in classically chaotic systems by considering a multiqubit system that behaves collectively as a spin system obeying the dynamics of the quantum kicked top. In the classical limit, the kicked top exhibits both regular and chaotic dynamics depending on the strength of the chaoticity parameter kappa in the Hamiltonian. We show that the entanglement of the m...
متن کاملGeneralized entanglement as a natural framework for ex - ploring quantum chaos
– We demonstrate that generalized entanglement [Barnum et al., Phys. Rev. A 68, 032308 (2003)] provides a natural and reliable indicator of quantum chaotic behavior. Since generalized entanglement depends directly on a choice of preferred observables, exploring how generalized entanglement increases under dynamical evolution is possible without invoking an auxiliary coupled system or decomposin...
متن کاملConservative chaotic flow generated via a pseudo-linear system
Analysis of nonlinear autonomous systems has been a popular field of study in recent decades. As an interesting nonlinear behavior, chaotic dynamics has been intensively investigated since Lorenz discovered the first physical evidence of chaos in his famous equations. Although many chaotic systems have been ever reported in the literature, a systematic and qualitative approach for chaos generat...
متن کاملDynamics of entangled quantum optical system in independent media
We study the dynamics of two three-level atoms interacting with independent bosonic Lorentzian reservoirs at zero temperature. Such systems can be created in far astronomical objects. Quantum mechanical behaviour of these particles can produce detectable effects on the spectroscopic identifications of these objects, if such behaviour remain stable during the interaction with their media. It is ...
متن کاملExploring Chaos and Entanglement in the Hénon-Heiles System Using Squeezed Coherent States
Quantum entanglement in the Hénon–Heiles system is analyzed using the squeezed coherent state. Enhancement of quantum entanglement via squeezing is explored in connection with chaotic and regular dynamics of the system. It is found that the entanglement enhancement via squeezing is implicitly linked to the local structure of the classical phase-space and it shows a clear quantum-classical corre...
متن کامل