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We present experimental measurements of the mean energy for the atom optics kicked rotor after just two kicks. The energy is found to deviate from the quasi--linear value for small kicking periods. The observed deviation is explained by…

Quantum Physics · Physics 2009-11-10 Mark Sadgrove , Terry Mullins , Scott Parkins , Rainer Leonhardt

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 study classical and quantum dynamics of a kicked relativistic particle confined in a one dimensional box. It is found that in classical case for chaotic motion the average kinetic energy grows in time, while for mixed regime the growth…

Quantum Physics · Physics 2018-09-05 J. R. Yusupov , D. M. Otajanov , V. E. Eshniyazov , D. U. Matrasulov

We investigate the dynamics of a kicked particle in an infinite square well undergoing frequent measurements of energy. For a large class of periodic kicking force, constant diffusion is found in such a non-KAM system. The influence of…

Quantum Physics · Physics 2009-11-11 Shang-Bin Li , Jing-Bo Xu

The quantum resonances (QRs) of the kicked particle are studied in a most general framework by also considering {\em arbitrary} periodic kicking potentials. It is shown that QR can arise, in general, for {\em any rational} value of the…

Chaotic Dynamics · Physics 2007-05-23 Itzhack Dana , Dmitry L. Dorofeev

A modification of the quantum kicked rotator is suggested with a time-dependent delta-kicked interaction parameter which can be realized by a pulsed turn-on of a Feshbach resonance. The mean kinetic energy increases exponentially with time…

Statistical Mechanics · Physics 2009-11-10 B. Mieck , R. Graham

Quantum vacuum fluctuations of the electromagnetic field in empty space seem not to produce observable effects over the motion of a charged test particle. However, when a change in the background vacuum state is implemented, as for instance…

High Energy Physics - Theory · Physics 2020-02-11 V. A. De Lorenci , C. C. H. Ribeiro

When a quantum particle is launched with a finite velocity in a disordered potential, it may surprisingly come back to its initial position at long times and remain there forever. This phenomenon, dubbed ``quantum boomerang effect'', was…

Disordered Systems and Neural Networks · Physics 2020-07-15 Jakub Janarek , Dominique Delande , Nicolas Cherroret , Jakub Zakrzewski

We investigate precursors of critical behavior in the quasienergy spectrum due to the dynamical instability in the kicked top. Using a semiclassical approach, we analytically obtain a logarithmic divergence in the density of states, which…

Quantum Physics · Physics 2014-04-23 V. M. Bastidas , P. Perez-Fernandez , M. Vogl , T. Brandes

We study quantum chaos in a non-KAM system, i.e. a kicked particle in a one-dimensional infinite square potential well. Within the perturbative regime the classical phase space displays stochastic web structures, and the diffusion…

chao-dyn · Physics 2012-07-30 Baowen Li , Jie Liu , Yan Gu , Bambi Hu

The virial theorem is considered for a system of randomly moving particles that are tightly bound to each other by the gravitational and electromagnetic fields, acceleration field and pressure field. The kinetic energy of the particles of…

General Physics · Physics 2018-01-22 Sergey G. Fedosin

A periodically kicked ring of a Bose-Einstein condensate is considered as a nonlinear generalization of the quantum kicked rotor. For weak interactions between atoms, periodic motion (anti-resonance) becomes quasiperiodic (quantum beating)…

Soft Condensed Matter · Physics 2009-11-10 Chuanwei Zhang , Jie Liu , Mark G. Raizen , Qian Niu

The quantum kicked particle in a magnetic field is studied in a weak-chaos regime under realistic conditions, i.e., for {\em general} values of the conserved coordinate $x_{{\rm c}}$ of the cyclotron orbit center. The system exhibits…

Chaotic Dynamics · Physics 2007-05-23 Itzhack Dana , Dmitry L. Dorofeev

We study quantum dynamics of a kicked relativistic spin-half particle in a one dimensional box. Time-dependence of the average kinetic energy and evolution of the wave packet are explored. Kicking potential is introduced as the…

Quantum Physics · Physics 2013-11-05 V. E. Eshniyazov , D. U. Matrasulov , J. R. Yusupov

We analytically study the time evolution of the expectation values of observables in periodically kicked many-body quantum systems. Starting from an initial state, we compute both the transient and the long-time properties of the…

Statistical Mechanics · Physics 2026-05-05 Vijay Kumar , Dibyendu Roy

We investigate the quantum diffusion of a periodically kicked particle subjecting to both nonlinearity induced self-interactions and $\mathcal{PT}$-symmetric potentials. We find that, due to the interplay between the nonlinearity and…

Chaotic Dynamics · Physics 2021-01-04 Wen-Lei Zhao , Longwen Zhou , Jie Liu , Peiqing Tong , Kaiqian Huang

A concept of kinetic energy in quantum mechanics is analyzed. Kinetic energy is a non-zero positive value in many cases of bound states, when a wave function is a real-valued one and there are no visible motion and flux. This can be…

Chemical Physics · Physics 2009-08-07 Yuri Kornyushin

Quantum scattering is used ubiquitously in both experimental and theoretical physics across a wide range of disciplines, from high-energy physics to mesoscopic physics. In this work, we uncover universal relations for the energy…

Quantum Physics · Physics 2024-11-15 Samuel L. Jacob , John Goold , Gabriel T. Landi , Felipe Barra

We present experimental observations of diffusion resonances for the quantum kicked rotor with weak decoherence. Cold caesium atoms are subject to a pulsed standing wave of near-resonant light, with spontaneous emission providing…

We study the quantum dynamics of a peculiar driven system, a Bose gas subjected to periodically kicked interactions. In the limit of infinitely short kicks, this system was recently shown to exhibit a fast exponential spreading of the wave…

Quantum Physics · Physics 2022-03-16 Clément Duval , Dominique Delande , Nicolas Cherroret
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