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Related papers: Transient localization in the kicked Rydberg atom

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We show that the breaking time of quantum-classical correspondence depends on the type of kinetics and the dominant origin of stickiness. For sticky dynamics of quantum kicked rotor, when the hierarchical set of islands corresponds to the…

Chaotic Dynamics · Physics 2009-10-31 A. Iomin , George M. Zaslavsky

A particle in an Anderson-localized system, if launched in any direction, should on average return to its starting point and stay there. Despite the central role played by Anderson localization in the modern understanding of condensed…

The study of quantum resonances in the chaotic atom-optics kicked rotor system is of interest from two different perspectives. In quantum chaos, it marks out the regime of resonant quantum dynamics in which the atomic cloud displays…

Quantum Physics · Physics 2019-08-16 Kush Mohan Mittal , M. S. Santhanam

The surprisingly long-lasting oscillations observed in the dynamics of highly excited states of chains of Rydberg atoms defy the expectation that interacting systems should thermalize fast. The phenomenon is reminiscent of wavepackets in…

Quantum Physics · Physics 2024-10-23 Markus Müller , Ruslan Mushkaev

Dynamical localization is a localization phenomenon taking place, for example, in the quantum periodically-driven kicked rotor. It is due to subtle quantum destructive interferences and is thus of intrinsic quantum origin. It has been shown…

Lattice gauge theories (LGTs) provide a framework for describing dynamical systems ranging from nuclei to materials. LGTs that host concatenated conservation laws can exhibit Hilbert space fragmentation, where each subspace may be labeled…

Quantum Physics · Physics 2026-02-24 Prithvi Raj Datla , Luheng Zhao , Wen Wei Ho , Natalie Klco , Huanqian Loh

We investigate quantum persistence by analyzing amplitude and phase fluctuations of the wave function governed by the time-dependent free-particle Schr\"odinger equation. The quantum system is initialized with local random uncorrelated…

Statistical Mechanics · Physics 2025-05-09 Cheng Ma , Omar Malik , G. Korniss

Control over the quantum dynamics of chaotic kicked rotor systems is demonstrated. Specifically, control over a number of quantum coherent phenomena is achieved by a simple modification of the kicking field. These include the enhancement of…

Quantum Physics · Physics 2009-11-10 Jiangbin Gong , Hans Jakob Worner , Paul Brumer

We study the dynamics of up to two Rydberg excitations and the correlation growth in a chain of atoms coupled to a photonic crystal waveguide. In this setup, an excitation can hop from one atom to another via exponentially decaying exchange…

Quantum Gases · Physics 2020-09-02 Yashwant Chougale , Jugal Talukdar , Tomás Ramos , Rejish Nath

Existence of Anderson localization is considered a manifestation of coherence of classical and quantum waves in disordered systems. Signatures of localization have been observed in condensed matter and cold atomic systems where the coupling…

Disordered Systems and Neural Networks · Physics 2023-08-22 Alejandro Cros Carrillo de Albornoz , Dominic C. Rose , Arijeet Pal

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…

Atomic Physics · Physics 2009-11-11 C. E. Creffield , G. Hur , T. S. Monteiro

We consider the motion of a quantum particle whose position is measured in random places at random moments in time. We show that a freely moving particle measured in this way undergoes superdiffusion, while a charged particle moving in a…

Disordered Systems and Neural Networks · Physics 2025-07-10 V. Gurarie

Quantum kicked rotor was recently realized in experiments with cold atomic gases and standing optical waves. As predicted, it exhibits dynamical localization in the momentum space. Here we consider the weak localization regime concentrating…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. Tian , A. Kamenev , A. Larkin

Exploiting multi-dimensional quantum walks as feasible platforms for quantum computation and quantum simulation is attracting constantly growing attention from a broad experimental physics community. Here, we propose a two-dimensional…

Quantum Physics · Physics 2015-01-22 Carlo Di Franco , Mauro Paternostro

We present a quantum localization phenomenon that exists in periodically kicked 3D rotors, but is absent in the commonly studied 2D ones: edge localization. We show that under the condition of a fractional quantum resonance there are states…

Quantum Physics · Physics 2015-06-11 Johannes Floß , Ilya Sh. Averbukh

We numerically analyse quantum survival probability fluctuations in an open, classically chaotic system. In a quasi-classical regime, and in the presence of classical mixed phase space, such fluctuations are believed to exhibit a fractal…

Condensed Matter · Physics 2009-11-07 Giuliano Benenti , Giulio Casati , Italo Guarneri , Marcello Terraneo

We demonstrate the onset of strong on-site localization in a one-dimensional many-particle system. The localization is obtained by constructing, in an explicit form, a bounded sequence of on-site energies that eliminates resonant hopping…

Quantum Physics · Physics 2009-11-10 L. F. Santos , M. I. Dykman , M. Shapiro , F. M. Izrailev

Controllable Rydberg atom arrays have provided new insights into fundamental properties of quantum matter both in and out of equilibrium. In this work, we study the effect of experimentally relevant positional disorder on Rydberg atoms…

Quantum Gases · Physics 2022-06-06 Fangli Liu , Zhi-Cheng Yang , Przemyslaw Bienias , Thomas Iadecola , Alexey V. Gorshkov

We numerically study the single particle localization and delocalization phenomena of an initially localized wave packet in the kicked Harper model (KHM) and Harper model subjected to quasi-periodic perturbation composed of $M-$modes. Both…

Disordered Systems and Neural Networks · Physics 2022-07-26 Hiroaki S. Yamada , Kensuke S. Ikeda

A recent proposal by Hallam et al. suggested using the chaotic properties of the semiclassical equations of motion, obtained by the time dependent variational principle (TDVP), as a characterization of quantum chaos. In this paper, we…

Quantum Physics · Physics 2020-01-20 Yochai Werman