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This review summarizes and amplifies on recent investigations of coupled quantum dynamical systems in the short wavelength limit. We formulate and attempt to answer three fundamental questions: (i) What drives a dynamical quantum system to…

Quantum Physics · Physics 2009-04-25 Ph. Jacquod , C. Petitjean

We review studies of entanglement entropy in systems with quenched randomness, concentrating on universal behavior at strongly random quantum critical points. The disorder-averaged entanglement entropy provides insight into the quantum…

Disordered Systems and Neural Networks · Physics 2015-05-13 Gil Refael , Joel E. Moore

A new general analytical relationship between spread complexity and fidelity of quantum dynamics is established with time-integrated quantities under operator perturbation. This approach diagnoses the degree of quantum ergodicity and the…

Quantum Physics · Physics 2026-05-26 M. Süzen

Simulating strongly-correlated quantum systems in continuous space belongs to the most challenging and long-concerned issues in quantum physics. This work investigates the quantum entanglement and criticality of the ground-state…

Quantum Physics · Physics 2025-06-17 Rui Hong , Hao-Wei Cui , An-Chun Ji , Shi-Ju Ran

Decoherence in quantum systems which are classically chaotic is studied. The Arnold cat map and the quantum kicked rotor are chosen as examples of linear and nonlinear chaotic systems. The Feynman-Vernon influence functional formalism is…

chao-dyn · Physics 2009-10-28 K. Shiokawa , B. L. Hu

The entanglement entropy (EE) can measure the entanglement between a spatial subregion and its complement, which provides key information about quantum states. Here, rather than focusing on specific regions, we study how the entanglement…

Strongly Correlated Electrons · Physics 2019-02-21 William Witczak-Krempa

Quantum kicked top is a fundamental model for time-dependent, chaotic Hamiltonian system and has been realized in experiments as well. As the quantum kicked top can be represented as a system of qubits, it is also popular as a testbed for…

Quantum Physics · Physics 2021-08-12 Udaysinh T. Bhosale , M. S. Santhanam

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

Properties related to entanglement in quantum systems, are known to be associated with distinct properties of the corresponding classical systems, as for example stability, integrability and chaos. This means that the detailed topology,…

Quantum Physics · Physics 2009-11-13 George Stamatiou , Demetris P. K. Ghikas

The role played by Time in the quantum theory is still mysterious by many aspects. In particular it is not clear today whether the distribution of decay times of unstable particles could be described by a Time Operator. As we shall discuss,…

Quantum Physics · Physics 2015-06-04 Thomas Durt

Entanglement entropy (EE) is a fundamental probe of quantum phases and critical phenomena, which was thought to reflect only bulk universality for a long time. Very recently, people realized that the microscopic geometry of the entanglement…

Strongly Correlated Electrons · Physics 2026-01-21 Zhe Wang , Chunhao Guo , Bin-Bin Mao , Zheng Yan

We investigate temporal evolution of von Neumann's entropy in exemplary quantum mechanical systems and show that it grows in systems evolving with incrementally increasing decoherence during scattering processes. We demonstrate that the…

Quantum Physics · Physics 2013-12-30 G. B. Lesovik , I. A. Sadovskyy , A. V. Lebedev , M. V. Suslov , V. M. Vinokur

We explore the behaviour of the disconnected entanglement entropy (DEE) across the topological phases of a long range interacting Kitaev chain where the long range interactions decay as a power law with an exponent $\alpha$. We show that…

Statistical Mechanics · Physics 2022-02-08 Saikat Mondal , Souvik Bandyopadhyay , Sourav Bhattacharjee , Amit Dutta

We discuss the time dependence of subsystem entropies in interacting quantum systems. As a model for the time dependence, we suggest that the entropy is as large as possible given two constraints: one follows from the existence of an…

High Energy Physics - Theory · Physics 2021-04-02 Márk Mezei , Douglas Stanford

Entanglement entropy is crucial for understanding the link between quantum mechanics and information theory. This thesis investigates how energy fluctuations and acceleration affect entanglement entropy through three key scenarios. First,…

High Energy Physics - Theory · Physics 2025-10-28 Felipe Diaz

We investigate entanglement for a composite closed system endowed with a scaling property allowing to keep the dynamics invariant while the effective Planck constant hbar_eff of the system is varied. Entanglement increases as hbar_eff goes…

Quantum Physics · Physics 2015-05-27 Alex Matzkin

We map the infinite-range coupled quantum kicked rotors over an infinite-range coupled interacting bosonic model. In this way we can apply exact diagonalization up to quite large system sizes and confirm that the system tends to ergodicity…

Quantum Physics · Physics 2021-06-09 Angelo Russomanno , Michele Fava , Rosario Fazio

Quantum mechanical behavior of coupled N-kicked rotators is studied. In the large N limit each rotator evolves under influence of the mean-field generated by surrounding rotators. It is found that the system spontaneously generates…

chao-dyn · Physics 2007-05-23 N. Tsuda , T. Yukawa

Quantum information theoretical measures are useful tools for characterizing quantum dynamical phases. However, employing them to study excited states of random spin systems is a challenging problem. Here, we report results for the…

Disordered Systems and Neural Networks · Physics 2022-10-04 Youcef Mohdeb , Javad Vahedi , Stefan Kettemann

Entanglement is a physical resource of a quantum system just like mass, charge or energy. Moreover it is an essential tool for many purposes of nowadays quantum information processing, e.g. quantum teleportation, quantum cryptography or…

Disordered Systems and Neural Networks · Physics 2008-02-15 Imre Varga , Jose Antonio Mendez-Bermudez