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We study the nature of the dynamics in a first-order quantum phase transition between spherical and prolate-deformed nuclear shapes. Classical and quantum analyses reveal a change in the system from a chaotic H\'enon-Heiles behavior on the…

Nuclear Theory · Physics 2013-04-19 A. Leviatan , M. Macek

We analyze the behavior of a gas of classical particles moving in a two-dimensional "nuclear" billiard whose multipole-deformed walls undergo periodic shape oscillations. We demonstrate that a single particle Hamiltonian containing coupling…

Nuclear Theory · Physics 2009-09-25 M. Baldo , G. F. Burgio , A. Rapisarda , P. Schuck

Band mixing calculations in rapidly rotating well-deformed nuclei are presented, investigating the properties of energy levels and rotational transitions as a function of excitation energy. Substantial fragmentation of E2 transitions is…

Nuclear Theory · Physics 2009-10-22 M. Matsuo , T. Døssing , B. Herskind , S. Frauendorf , E. Vigezzi , R. A. Broglia

The transition from classical to quantum behavior for chaotic systems is understood to be accompanied by the suppression of chaotic effects as the relative size of $\hbar$ is increased. We show evidence to the contrary in the behavior of…

Quantum Physics · Physics 2009-11-13 Arie Kapulkin , Arjendu K. Pattanayak

Recent experimental and theoretical studies on the magnetization dynamics driven by an electric current have uncovered a number of unprecedented rich dynamic phenomena. We predict an intrinsic chaotic dynamics that has not been previously…

Other Condensed Matter · Physics 2007-09-27 Z. Yang , S. Zhang , Y. Charles Li

Shell effects in atomic nuclei are a quantum mechanical manifestation of the single--particle motion of the nucleons. They are directly related to the structure and fluctuations of the single--particle spectrum. Our understanding of these…

Nuclear Theory · Physics 2007-05-23 P. Leboeuf

We study the motion of a classical particle interacting with one, two, and finally an infinite chain of 1D square wells with oscillating depth. For a single well we find complicated scattering behavior even though there is no topological…

Chaotic Dynamics · Physics 2015-06-26 G. A. Luna-Acosta , G. Orellana-Rivadeneyra , A. Mendoza-Galvan , C. Jung

We elucidate the basic physical mechanisms responsible for the quantum-classical transition in one-dimensional, bounded chaotic systems subject to unconditioned environmental interactions. We show that such a transition occurs due to the…

Quantum Physics · Physics 2007-10-18 Benjamin D. Greenbaum , Salman Habib , Kosuke Shizume , Bala Sundaram

A semiclassical approach is used to describe the wobbling and chiral motion in even-even and odd-even nuclei The trial function involved in the variational equation for the quantal action is a coherent state for the SU(2 ) group associated…

Nuclear Theory · Physics 2024-12-05 Apolodor Aristotel Raduta , Cristian Mircea Raduta , Robert Poenaru

A statistical analysis of the spectrum of two particle - two hole doorway states in a finite nucleus is performed. On the unperturbed mean-field level sizable attractive correlations are present in such a spectrum. Including particle-hole…

Nuclear Theory · Physics 2009-10-22 S. Drozdz , S. Nishizaki , J. Speth , J. Wambach

The presence of chaos and quantum chaos is shown in two different nuclear systems. We analyze the chaotic behaviour of the classical SU(2) Yang--Mills--Higgs system, and then we study quantum chaos in the nuclear shell model calculating the…

Nuclear Theory · Physics 2007-05-23 Luca Salasnich

The motion of charged particles in a crystal in the axial channeling regime can be both regular and chaotic. The chaos in quantum case manifests itself in the statistical properties of the energy levels set. These properties have been…

Accelerator Physics · Physics 2024-05-28 V. V. Syshchenko , A. I. Tarnovsky , V. I. Dronik , A. Yu. Isupov

We investigate the QMCS in structure of the eigenfunctions, corresponding to mixed type classical dynamics in smooth potential of the surface quadrupole oscillations of a charged liquid drop. Regions of different regimes of classical motion…

Chaotic Dynamics · Physics 2009-11-10 V. P. Berezovoj , Y. L. Bolotin , V. A. Cherkaskiy

We have systematically studied both classical and quantum chaotic behaviors of two colliding harmonic oscillators. The classical case falls in Kolmogorov-Arnold-Moser class. It is shown that there exists an energy threshold, above which the…

chao-dyn · Physics 2015-06-24 Qing-Rong Zheng , Gang Su , De-Hai Zhang

We study the quantum dynamics of a charged particle in a two-dimensional lattice, subject to constant and homogeneous electric and magnetic fields. We find that different regimes characterize these motions, depending on a combination of…

Quantum Physics · Physics 2013-05-30 A. R. Kolovsky , I. Chesnokov , G. Mantica

For nuclei with N = Z, the isospin degree of freedom is important and, for deformed systems, rotational bands of different isospin may be expected at low excitation energies. We have investigated, in a simple model space, the influence of…

Nuclear Theory · Physics 2009-11-06 J. A. Sheikh , A. T. Kruppa , N. Rowley

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

Cross section fluctuations in nuclear scattering are briefly reviewed in order to show the main important features. Then chaotic scattering is introduced by means of a very simple model. It is shown that chaoticity produces the same kind of…

Nuclear Theory · Physics 2007-05-23 A. Rapisarda

We analyze the origin and properties of the chaotic dynamics of two atomic ensembles in a driven-dissipative experimental setup, where they are collectively damped by a bad cavity mode and incoherently pumped by a Raman laser. Starting from…

Chaotic Dynamics · Physics 2020-10-06 Aniket Patra , Boris L. Altshuler , Emil A. Yuzbashyan

We construct a class of systems for which quantum dynamics can be expanded around a mean field approximation with essentially classical content. The modulus of the quantum overlap of mean field states naturally introduces a classical…