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The relation between classically chaotic dynamics and quantum localization is studied in a system that violates the assumptions of Kolmogorov-Arnold-Moser (KAM) theorem, namely, kicked rotor in a discontinuous potential barrier. We show…

Chaotic Dynamics · Physics 2016-07-22 Sanku Paul , Harinder Pal , M. S. Santhanam

Wave-packet scattering from a stationary potential is significantly modified when the wave-packet is subject to an external time-dependent force during the interaction. In the semiclassical limit, wave--packet motion is simply described by…

Quantum Physics · Physics 2018-04-18 S. Longhi , S. A. R. Horsley , G. Della Valle

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…

Other Condensed Matter · Physics 2009-09-03 Moritz Hiller , Tsampikos Kottos , Theo Geisel

Wave propagation in ray-chaotic scenarios, characterized by exponential sensitivity to ray-launching conditions, is a topic of significant interest, with deep phenomenological implications and important applications, ranging from optical…

Optics · Physics 2015-06-03 Giuseppe Castaldi , Vincenzo Galdi , Innocenzo M. Pinto

We study the spreading of correlations in the Bose-Hubbard chain, using the time-dependent matrix-product state approach. In both the superfluid and the Mott-insulator phases, we find that the time-dependent correlation functions generally…

Quantum Physics · Physics 2019-03-15 J. Despres , L. Villa , L. Sanchez-Palencia

A quantum walk in an ordered medium exhibits ballistic propagation. A related process is the driven quantum walk, in which the number of walkers varies along the propagation. In this work, we show that a driven quantum walk of biphoton…

Quantum Physics · Physics 2026-01-19 Jefferson Delgado-Quesada , Edgar A. Rojas-González

Space-time light structuring has emerged as a very powerful tool for controlling the propagation dynamics of pulsed beam. The ability to manipulate and generate space-time distributions of light has been remarkably enhanced in past few…

Optics · Physics 2022-10-26 Pierre Béjot , Bertrand Kibler

We develop a system consisting of a quantum kicked rotor with an additional degree of freedom. This models a single two-level atom with internal ground and excited states, and it is characterized by its quantum resonances with ballistic…

Quantum Physics · Physics 2015-06-11 Guzmán Hernández , Alejandro Romanelli

Space-time wave packets can propagate invariantly in free space with arbitrary group velocity thanks to the spatio-temporal correlation. Here it is proved that the space-time wave packets are stable in dispersive media as well and free from…

Optics · Physics 2022-07-27 Hao He , Cheng Guo , Meng Xiao

We consider a two-dimensional (2D) generalization of the standard kicked-rotor (KR) and show that it is an excellent model for the study of 2D quantum systems with underlying diffusive classical dynamics. First we analyze the distribution…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Tsampikos Kottos , Alexander Ossipov , Theo Geisel

In this paper, we study the propagation of wave packets close to conical intersections with respect to a system of two Schr{\"o}dinger equations presenting a codimension 2 crossing. We focus on the dynamics that occur when the wave packets…

Analysis of PDEs · Mathematics 2026-01-06 Marianne Curely

We study the spreading of quantum information in a recently introduced family of brickwork quantum circuits that generalises the dual-unitary class. These circuits are unitary in time, while their spatial dynamics is unitary only in a…

Statistical Mechanics · Physics 2024-08-05 Alessandro Foligno , Pavel Kos , Bruno Bertini

In this paper, we report results for the wave packet dynamics in a class of quasiperiodic chains consisting of two types of weakly coupled clusters. The dynamics are studied by means of the return probability and the mean square…

Mesoscale and Nanoscale Physics · Physics 2010-01-29 Stefanie Thiem , Michael Schreiber , Uwe Grimm

We study the dynamics of a quantum rotator kicked according to the almost-periodic Fibonacci sequence. A special numerical technique allows us to carry on this investigation for as many as $10^{12}$ kicks. It is shown that above a critical…

Condensed Matter · Physics 2009-10-31 G. Casati , G. Mantica , D. L. Shepelyansky

An analytical treatment of a propagating wave packet incident on a transient barrier reveals a counterintuitive quantum mechanical effect in which, for a particular time interval, the time-varying transmission probability {\it exceeds}…

Quantum Physics · Physics 2010-11-02 Dipankar Home , A. S. Majumdar , A. Matzkin

A uniform semiclassical propagator is used to time evolve a wavepacket in a smooth Hamiltonian system at energies for which the underlying classical motion is chaotic. The propagated wavepacket is Fourier transformed to yield a scarred…

chao-dyn · Physics 2009-10-22 Daniel Provost , Paul Brumer

We analyze the Wannier-Stark spectrum of a quantum particle in tilted two-dimensional lattices with the Bloch spectrum consisting of two subbands, which could be either separated by a finite gap or connected at the Dirac points. For…

Quantum Physics · Physics 2015-06-03 E. N. Bulgakov , D. N. Maksimov , A. R. Kolovsky

Semi--classical dynamics of quantum wave packets spreading is studied for a kicked rotor. Quantum flights are established for a specific, "magic" value of a chaos control parameter when the classical stickiness of trajectories is most…

Chaotic Dynamics · Physics 2007-05-23 A. Iomin , G. M. Zaslavsky

We find the laws for the spreading of the spatial widths (parallel and transverse to the direction of average motion) of the relativistic position probability density for a massive, spinless particle. We find that when the momentum width of…

Quantum Physics · Physics 2018-04-04 Scott E. Hoffmann

Non-Hermitian systems exhibit a distinctive type of wave propagation, due to the intricate interplay of non-Hermiticity and disorder. Here, we investigate the spreading dynamics in the archetypal non-Hermitian Aubry-Andr\'e model with…

Disordered Systems and Neural Networks · Physics 2024-12-03 Ze-Yu Xing , Shu Chen , Haiping Hu