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We study the dynamical generation of entanglement as a signature of chaos in a system of periodically kicked coupled-tops, where chaos and entanglement arise from the same physical mechanism. The long-time averaged entanglement as a…

Quantum Physics · Physics 2013-05-29 C. Trail , V. Madhok , I. Deutsch

We analyze the interplay of chaos, entanglement and decoherence in a system of qubits whose collective behaviour is that of a quantum kicked top. The dynamical entanglement between a single qubit and the rest can be calculated from the mean…

Quantum Physics · Physics 2009-11-13 S. Ghose , R. Stock , P. S. Jessen , R. Lal , A. Silberfarb

We study quantum chaos for systems with more than one degree of freedom, for which we present an analysis of the dynamics of entanglement. Our analysis explains the main features of entanglement dynamics and identifies entanglement-based…

Quantum Physics · Physics 2007-05-23 Shohini Ghose , Barry C. Sanders

Quantum chaos is a subject whose major goal is to identify and to investigate different quantum signatures of classical chaos. Here we study entanglement production in coupled chaotic systems as a possible quantum indicator of classical…

Quantum Physics · Physics 2009-11-11 Jayendra N. Bandyopadhyay , Arul Lakshminarayan

Quantum chaos is the study of quantum systems whose classical description is chaotic. How does chaos manifest itself in the quantum world? In this spirit, we study the dynamical generation of entanglement as a signature of chaos in a system…

Quantum Physics · Physics 2012-12-20 Vaibhav Madhok

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…

Quantum Physics · Physics 2009-11-10 Xiaoguang Wang , Shohini Ghose , Barry C Sanders , Bambi Hu

We demonstrate that generalized entanglement [Barnum {\em et al.}, Phys. Rev. A {\bf 68}, 032308 (2003)] provides a natural and reliable indicator of quantum chaotic behavior. Since generalized entanglement depends directly on a choice of…

Quantum Physics · Physics 2009-11-13 Yaakov S. Weinstein , Lorenza Viola

Long-time average behavior of quantum correlations in a multi-qubit system, collectively modeled as a kicked top, is addressed here. The behavior of dynamical generation of quantum correlations such as entanglement, discord, concurrence, as…

Quantum Physics · Physics 2018-07-04 Vaibhav Madhok , Shruti Dogra , Arul Lakshminarayan

It is widely believed that quantum mechanics cannot exhibit chaos, since unitarity of time evolution ensures that distances between quantum states are preserved. However, a parallel argument can be constructed in classical mechanics that…

Quantum Physics · Physics 2025-06-17 Bilal Khalid , Sabre Kais

We identify a border between regular and chaotic quantum dynamics. The border is characterized by a power law decrease in the overlap between a state evolved under chaotic dynamics and the same state evolved under a slightly perturbed…

Statistical Mechanics · Physics 2009-11-07 Y. S. Weinstein , S. Lloyd , C. Tsallis

Entanglement is not only the most intriguing feature of quantum mechanics, but also a key resource in quantum information science. The entanglement content of random pure quantum states is almost maximal; such states find applications in…

Quantum Physics · Physics 2009-04-04 Giuliano Benenti

We consider the quantum-classical correspondence from a classical perspective by discussing the potential for chaotic systems to support behaviors normally associated with quantum mechanical systems. Our main analytical tool is a chaotic…

Quantum Physics · Physics 2017-10-09 Kevin M. Short , Matthew A. Morena

The standard kicked top involves a periodically kicked angular momentum. By considering this angular momentum as a collection of entangled spins, we compute the bipartite entanglement dynamics as a function of the dynamics of the classical…

Quantum Physics · Physics 2011-02-01 Maurice Lombardi , Alex Matzkin

The entanglement of eigenstates in two coupled, classically chaotic kicked tops is studied in dependence of their interaction strength. The transition from the non-interacting and unentangled system towards full random matrix behavior is…

Quantum Physics · Physics 2020-03-04 Tabea Herrmann , Maximilian F. I. Kieler , Felix Fritzsch , Arnd Bäcker

Unlike classical system, understanding ergodicity from phase space mixing remains unclear for interacting quantum systems due to the absence of phase space trajectories. By considering an interacting spin model known as kicked coupled top,…

Statistical Mechanics · Physics 2021-09-01 Debabrata Mondal , Sudip Sinha , Subhasis Sinha

This work theoretically investigates the transition from topology to chaos in a periodically driven system consisting of a quantum top coupled to a spin-1/2 particle. The system is driven by two alternating interaction kicks per period. For…

Quantum Physics · Physics 2025-06-26 J. Mumford , H. -Y. Xie , R. J. Lewis-Swan

We investigate how the dynamical production of quantum entanglement for weakly coupled, composite quantum systems is influenced by the chaotic dynamics of the corresponding classical system, using coupled kicked tops. The linear entropy for…

Quantum Physics · Physics 2009-11-07 Hiroshi Fujisaki , Takayuki Miyadera , Atushi Tanaka

We examine the dynamics of a wave packet that initially corresponds to a coherent state in the model of quantum kicked rotator. This main model of quantum chaos, which allows for a transition from regular to to chaotic behavior in the…

Quantum Physics · Physics 2009-11-07 Kirill N. Alekseev , Dima S. Primak

We uncover a dynamical entanglement transition in a monitored quantum system that is heralded by a local order parameter. Classically, chaotic systems can be stochastically controlled onto unstable periodic orbits and exhibit controlled and…

Disordered Systems and Neural Networks · Physics 2022-08-10 Thomas Iadecola , Sriram Ganeshan , J. H. Pixley , Justin H. Wilson

Classical chaos arises from the inherent non-linearity of dynamical systems. However, quantum maps are linear; therefore, the definition of chaos is not straightforward. To address this, we study a quantum system that exhibits chaotic…

Chaotic Dynamics · Physics 2026-04-10 Amit Anand , Robert B. Mann , Shohini Ghose
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