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We observe the quantum coherent dynamics of atomic spinor wavepackets in the double well potentials of a far-off-resonance optical lattice. With appropriate initial conditions the system Rabi oscillates between the left and right localized…

Quantum Physics · Physics 2009-11-06 D. L. Haycock , P. M. Alsing , I. H. Deutsch , J. Grondalski , P. S. Jessen

Effective Hamiltonian for the kicked double well system was derived using the Campbell-Baker-Hausdorff expansion formula. Asymmetric model for the kicked system was constructed. Analytical description of the quasienergy levels splittings…

Chaotic Dynamics · Physics 2011-07-05 V. I. Kuvshinov , A. V. Kuzmin , V. A. Piatrou

We study the role of long-range interactions on the non-equilibrium dynamics considering a long-range Kitaev chain in which superconducting term decays with distance between two sites in a power-law fashion characterised by an exponent…

Statistical Mechanics · Physics 2017-10-18 Anirban Dutta , Amit Dutta

It is well known that a symmetric soliton in coupled nonlinear Schroedinger (NLS) equations with the cubic nonlinearity loses its stability with the increase of its energy, featuring a transition into an asymmetric soliton via a subcritical…

Pattern Formation and Solitons · Physics 2007-05-23 Lior Albuch , Boris A. Malomed

The problem of the effect of two-frequency quasi-periodic perturbations on systems close to arbitrary nonlinear two-dimensional Hamiltonian ones is studied in the case when the corresponding perturbed autonomous systems have a double limit…

Dynamical Systems · Mathematics 2020-11-24 O. S. Kostromina

The dynamical properties of a model of dark energy in which two scalar fields are coupled by a non-canonical kinetic term are studied. We show that overall the addition of the coupling has only minor effects on the dynamics of the two-field…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Carsten van de Bruck , Joel M. Weller

The combination of linear and nonlinear potentials, both shaped as a single well, enables competition between the confinement and expulsion induced by the former and latter potentials, respectively. We demonstrate that this setting leads to…

Pattern Formation and Solitons · Physics 2018-10-18 Dmitry A. Zezyulin , Mikhail E. Lebedev , Georgy L. Alfimov , Boris A. Malomed

We study two simple mesoscopic models of interacting two electrons; first one consists of two quantum coherent parallel conductors with long-range Coulomb interaction in some localized region and the other is of an interacting quantum dot…

Quantum Physics · Physics 2015-05-13 Dibyendu Roy

The two-dimensional contact process (CP) with a competitive dynamics proposed by Martins {\it et al.} [Phys. Rev. E {\bf 84}, 011125(2011)] leads to the appearance of an unusual active asymmetric phase, in which the system sublattices are…

Statistical Mechanics · Physics 2015-06-19 Salete Pianegonda , Carlos E. Fiore

The notion of a double well potential typically involves two regions of space separated by a repulsive potential barrier. The solution is a wave function that is suppressed in the barrier region and localized in the two surrounding regions.…

Quantum Gases · Physics 2021-12-22 A. Ibrahim , F. Marsiglio

A double-well energy expressed as a minimum of two quadratic functions, called phase energies, is studied with taking into account the minimization of the corresponding integral functional. Such integral, as being not sequentially weakly…

Functional Analysis · Mathematics 2016-08-14 Zdzisław Naniewicz , Piotr Puchała

A simple model of a two-mode non-resonant parametric amplifier is studied with special regard to non-classical features such as revivals and squeezing. The methods used apply for an arbitrary pump parameter. Detailed analytical and explicit…

Quantum Physics · Physics 2009-10-31 Per Rekdal , Bo-Sture Skagerstam

The effective renormalizable theory describing electromagnetic and strong interactions of quarks of five light flavors ($n_f = 5$ QCD$\times$QED) is considered as a low-energy limit of the full Standard Model. Two-loop relation between the…

High Energy Physics - Phenomenology · Physics 2018-12-31 A. V. Bednyakov

We investigate the longstanding problem of thermalization of quantum systems coupled to an environment by focusing on a bistable quartic oscillator interacting with a finite number of harmonic oscillators. In order to overcome the…

Quantum Physics · Physics 2021-11-22 Sreeja Loho Choudhury , Frank Grossmann

We investigated self-sustained oscillation in a collapsible channel, in which a part of one rigid wall is replaced by a thin elastic wall, and synchronization phenomena in the two channels connected in parallel. We performed a…

Adaptation and Self-Organizing Systems · Physics 2024-05-08 Yuki Araya , Hiroaki Ito , Hiroyuki Kitahata

We study generic features of open quantum systems embedded into a continuum of scattering wavefunctions and compare them with results discussed in optics. A dynamical phase transition may appear at high level density in a many-level system…

Quantum Physics · Physics 2014-02-20 Hichem Eleuch , Ingrid Rotter

We analyze the supersymmetric features of isolated double-well potentials, both symmetric ones and ones under an asymmetric perturbation. Our studies are in concert with results obtained elsewhere. Further on, a particular interest is paid…

Chemical Physics · Physics 2008-07-25 Mladen Georgiev

We consider a permanent magnetic dipole in an oscillating magnetic field. This magnetic oscillator has two dynamical symmetries. With increasing the amplitude $A$ of the magnetic field, dynamical behaviors associated with the symmetries are…

chao-dyn · Physics 2009-09-25 Sang-Yoon Kim

Intervalley mixing between conduction-band states in low-dimensional Si/SiGe heterostructures induces splitting between nominally degenerate energy levels. The symmetric double-valley effective mass approximation and the empirical…

Mesoscale and Nanoscale Physics · Physics 2009-07-27 A. Valavanis , Z. Ikonić , R. W. Kelsall

A simple approximate solution for the quantum-mechanical quartic oscillator $V= m^2 x^2+g x^4$ in the double-well regime $m^2<0$ at arbitrary $g \geq 0$ is presented. It is based on a combining of perturbation theory near true minima of the…

Mathematical Physics · Physics 2015-05-13 Alexander V Turbiner
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