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We investigate the effect of repeated measurement for quantum dynamics of the suppressed systems which classical counterparts exhibit chaos. The essential feature of such systems is the quantum localization phenomena strongly limiting…

量子物理 · 物理学 2008-02-03 B. Kaulakys

Isolated interacting quantum systems generally thermalize, yet there are several examples for the breakdown of ergodicity, such as many-body localization and quantum scars. Recently, ergodicity breaking has been observed in systems…

We show that currently available noisy intermediate-scale quantum (NISQ) computers can be used for versatile quantum simulations of chaotic systems. We introduce a novel classical-quantum hybrid approachfor exploring the dynamics of the…

量子物理 · 物理学 2026-04-10 Amit Anand , Sanchit Srivastava , Sayan Gangopadhyay , Shohini Ghose

We study semiclassical approximations to the time evolution of coherent states for general spin-orbit coupling problems in two different semiclassical scenarios: The limit \hbar to zero is first taken with fixed spin quantum number s and…

数学物理 · 物理学 2009-11-10 Jens Bolte , Rainer Glaser

Interacting quantum systems evolving from an uncorrelated composite initial state generically develop quantum correlations -- entanglement. As a consequence, a local description of interacting quantum system is impossible as a rule. A…

量子物理 · 物理学 2009-11-13 Michael Khasin , Ronnie Kosloff

We report an experimental and theoretical study of the dynamics of cold atoms subjected to closely-spaced pairs of pulses in an optical lattice. The experiments show the interplay between fully coherent quantum dynamics and a novel…

原子物理 · 物理学 2009-11-10 P. H. Jones , M. Stocklin , G. Hur , T. S. Monteiro

We consider the quantum and classical Liouville dynamics of a non-integrable model of two coupled spins. Initially localised quantum states spread exponentially to the system dimension when the classical dynamics are chaotic. The long-time…

量子物理 · 物理学 2009-11-07 J. Emerson , L. E. Ballentine

Quantum chaos, a phenomenon that began to be studied in the last century, still does not have a rigorous understanding. By virtue of the correspondence principle, the properties of the system that lead to chaotic dynamics at the classical…

量子物理 · 物理学 2024-06-25 Evgeny Polyakov , Nataliya Arefyeva

We study the quantum entanglement caused by unitary operators that have classical limits that can range from the near integrable to the completely chaotic. Entanglement in the eigenstates and time-evolving arbitrary states is studied…

混沌动力学 · 物理学 2009-10-31 Arul Lakshminarayan

The out-of-time-ordered correlators (OTOC) and the Loschmidt echo are two measures that are now widely being explored to characterize sensitivity to perturbations and information scrambling in complex quantum systems. Studying few qubits…

量子物理 · 物理学 2021-05-26 Sreeram PG , Vaibhav Madhok , Arul Lakshminarayan

We examine the scaling of the inverse participation ratio of spin coherent states in the energy basis of three collective spin systems: a bounded harmonic oscillator, the Lipkin-Meshkov-Glick model, and the Quantum Kicked Top. The…

量子物理 · 物理学 2025-02-24 Miguel Gonzalez , Miguel A. Bastarrachea-Magnani , Jorge G. Hirsch

The asymptotic behavior of the integrated density of states for a randomly perturbed lattice at the infimum of the spectrum is investigated. The leading term is determined when the decay of the single site potential is slow. The leading…

概率论 · 数学 2010-12-14 Ryoki Fukushima , Naomasa Ueki

By using the Krylov subspace technique to generate the spin coherent states in kicked top model, a prototype model for studying quantum chaos, the accessible system size for studying the Husimi functions of eigenstates can be much larger…

量子物理 · 物理学 2025-05-21 Hua Yan , Qian Wang , Marko Robnik

The spreading of quantum states in Krylov space under unitary dynamics provides a natural framework for characterizing quantum complexity. Quantifiers of this spreading, such as the spread complexity and the inverse participation ratio,…

量子物理 · 物理学 2026-03-30 Swati Choudhary , Sukrut Mondkar , Ujjwal Sen

Entanglement production in coupled chaotic systems is studied with the help of kicked tops. Deriving the correct classical map, we have used the reduced Husimi function, the Husimi function of the reduced density matrix, to visualize the…

量子物理 · 物理学 2007-05-23 Jayendra N. Bandyopadhyay , Arul Lakshminarayan

The quantum dynamics of atoms subjected to pairs of closely-spaced $\delta$-kicks from optical potentials are shown to be quite different from the well-known paradigm of quantum chaos, the singly-$\delta$-kicked system. We find the unitary…

原子物理 · 物理学 2009-11-11 C. E. Creffield , G. Hur , T. S. Monteiro

We study the energy redistribution of interacting bosons in a ring-shaped quantum trimer as the coupling strength between neighboring sites of the corresponding Bose-Hubbard Hamiltonian undergoes a sudden change dk. Our analysis is based on…

其他凝聚态物理 · 物理学 2009-09-03 Moritz Hiller , Tsampikos Kottos , Theo Geisel

We show how local constraints can globally "shatter" Hilbert space into subsectors, leading to an unexpected dynamics with features reminiscent of both many body localization and quantum scars. A crisp example of this phenomenon is provided…

统计力学 · 物理学 2020-05-20 Vedika Khemani , Rahul Nandkishore

One of the principal goals of controlling classical chaotic dynamical systems is known as targeting, which is the very weakly perturbative process of using the system's extreme sensitivity to initial conditions in order to arrive at a…

混沌动力学 · 物理学 2023-01-25 Steven Tomsovic , Juan Diego Urbina , Klaus Richter

Excited-state quantum phase transitions (ESQPTs) are critical phenomena that generate singularities in the spectrum of quantum systems. {For systems with a classical counterpart,} these phenomena have their origin in the classical limit…

量子物理 · 物理学 2021-12-28 Ignacio García-Mata , Diego A. Wisniacki , Eduardo G. Vergini