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We consider a basic model of the lossless interaction between a moving two-level atom and a standing-wave single-mode laser field. Classical treatment of the translational atomic motion provides the semiclassical Hamilton-Schrodinger…

Atomic Physics · Physics 2012-05-29 S. V. Prants

Formation of chaos in the parametric dependent system of interacting oscillators for the both classical and quantum cases has been investigated. Domain in which classical motion is chaotic is defined. It has been shown that for certain…

Chaotic Dynamics · Physics 2009-11-10 L. Chotorlishvili , Z. Toklikishvili , V. Bochorishvili , A. Sagaradze

We study the dynamics of non interacting thermal atoms embedded in structured optical lattices with non trivial geometry. The lattice would be generated by two counter propagating modes with parabolic cylindrical symmetry and we concentrate…

Quantum Physics · Physics 2011-01-24 R. Pérez-Pascual , B. M. Rodríguez-Lara , R. Jáuregui

We establish the emergence of chaotic motion in optomechanical systems. Chaos appears at negative detuning for experimentally accessible values of the pump power and other system parameters. We describe the sequence of period doubling…

Quantum Physics · Physics 2015-01-15 L. Bakemeier , A. Alvermann , H. Fehske

We consider the classical map proposed previously to be the exact classical analogue of Rydberg Molecules calculated with the approximations relevant to the multi-channel quantum defect theory. The resulting classical map is analyzed at…

Chaotic Dynamics · Physics 2009-10-31 F. Leyvraz , M. Lombardi , T. H. Seligman

Statistics of tunneling rates in the presence of chaotic classical dynamics is discussed on a realistic example: a hydrogen atom placed in parallel uniform static electric and magnetic fields, where tunneling is followed by ionization along…

Chaotic Dynamics · Physics 2009-11-10 Dominique Delande , Jakub Zakrzewski

Atoms, propagating across a detuned standing laser wave, can be scattered in a chaotic way even in the absence of spontaneous emission and any modulation of the laser field. Spontaneous emission masks the effect in some degree, but the…

Atomic Physics · Physics 2015-06-05 S. V. Prants

Chaos is a phenomenon that occurs in many aspects of contemporary science. In classical dynamics, chaos is defined as a hypersensitivity to initial conditions. The presence of chaos is often unwanted, as it introduces unpredictability,…

Optics · Physics 2012-09-25 C. Liu , A. Di Falco , D. Molinari , Y. Khan , B. S. Ooi , T. F. Krauss , A. Fratalocchi

In this paper we describe the rescattering process in optical field ionization through a one-dimensional model, which improves the well-known quasistatic model by adding the smoothed Coulomb potential in its second step. The above-threshold…

chao-dyn · Physics 2007-05-23 Jie Liu , Shi-Gang Chen , Bambi Hu

The interaction of an atom with an electromagnetic field is discussed in the presence of a time periodic external modulating force. It is explained that a control on atom by electromagnetic fields helps to design the quantum analog of…

Quantum Physics · Physics 2009-11-13 Farhan Saif

The dynamical status of isolated quantum systems, partly due to the linearity of the Schrodinger equation is unclear: Conventional measures fail to detect chaos in such systems. However, when quantum systems are subjected to observation --…

Quantum Physics · Physics 2009-11-10 Salman Habib , Kurt Jacobs , Kosuke Shizume

We show that for ultracold magnetic lanthanide atoms chaotic scattering emerges due to a combination of anisotropic interaction potentials and Zeeman coupling under an external magnetic field. This scattering is studied in a collaborative…

In this paper we investigate the quantum and classical dynamics of a single trapped ion subject to nonlinear kicks derived from a periodic sequence of Guassian laser pulses. We show that the classical system exhibits diffusive growth in the…

chao-dyn · Physics 2007-05-23 A. J. Scott , C. A. Holmes , G. J. Milburn

Motivated to explore the dynamical mechanism of multi-fragmentation phase transition and expand our knowledge on the deterministic chaos in nonlinear dynamic process, we study systematically the nonlinear dynamical behaviors of heavy ion…

Nuclear Theory · Physics 2022-04-20 Yong-Zhong Xing , Wen-Xia Wang , Hong-Fei Zhang , Yu-Ming Zheng

Quantized, compact graphs were shown to be excellent paradigms for quantum chaos in bounded systems. Connecting them with leads to infinity we show that they display all the features which characterize scattering systems with an underlying…

chao-dyn · Physics 2009-10-31 Tsampikos Kottos , U. Smilansky

The paper consider a complex dynamics of electron beam with virtual cathode and local neutralization of the beam charge density near anode. Different types of nonlinear behaviour, including deterministic chaos, were treated. It is shown…

Plasma Physics · Physics 2007-05-23 V. G. Anfinogentov , A. E. Hramov

We present a new and complete analysis of the n-bounce resonance and chaotic scattering in solitary wave collisions. In these phenomena, the speed at which a wave exits a collision depends in a complicated fractal way on its input speed. We…

Pattern Formation and Solitons · Physics 2007-05-23 Roy H. Goodman , Richard Haberman

Distributions of eigenmodes are widely concerned in both bounded and open systems. In the realm of chaos, counting resonances can characterize the underlying dynamics (regular vs. chaotic), and is often instrumental to identify…

We study the dynamics of a three-mode bosonic system with mode-changing interactions. For large mode occupations the short-time dynamics is well described by classical mean-field equations allowing us to study chaotic dynamics in the…

Quantum Physics · Physics 2020-05-13 Michael Rautenberg , Martin Gärttner

A recent quasiclassical description of a tunneling universe model is shown to exhibit chaotic dynamics by an analysis of fractal dimensions in the plane of initial values. This result relies on non-adiabatic features of the quantum…

General Relativity and Quantum Cosmology · Physics 2023-11-15 Martin Bojowald , Ari Gluckman