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We present a simple method to deal with caustics in the semiclassical approximation to the partition function of a one-dimensional quantum system. The procedure, which makes use of complex trajectories, is applied to the quartic double-well…

Statistical Mechanics · Physics 2007-05-23 C. A. A. de Carvalho , R. M. Cavalcanti , E. S. Fraga , S. E. Joras

We have studied the rich dynamics of a damped particle inside an external double-well potential under the influence of state-dependent time-delayed feedback. In certain regions of the parameter space, we observe multistability with the…

Adaptation and Self-Organizing Systems · Physics 2023-12-20 Álvaro G. López , Rahil N. Valani

Inspired by a recent experiment of localization-delocalization transition (LDT) of indirect excitons in lateral electrostatic lattices [M. Remeika \textit{et al.}, Phys. Rev. Lett. \textbf{102}, 186803 (2009)], we investigate the interplay…

Quantum Gases · Physics 2012-03-02 T. F. Xu , X. L. Jing , H. G. Luo , W. C. Wu , C. S. Liu

A bosonic gas formed by two interacting species trapped in a double-well potential features macroscopic localization effects when the interspecies interaction becomes sufficiently strong. A repulsive interaction spatially separates the…

Quantum Physics · Physics 2017-08-02 F. Lingua , V. Penna

Localization of a particle in the wells of an asymmetric double-well (DW) potential is investigated here. Information entropy-based uncertainty measures, such as Shannon entropy, Fisher information, Onicescu energy, etc., and phasespace…

Quantum Physics · Physics 2019-04-15 Neetik Mukherjee , Amlan K. Roy

The global bifurcation diagrams for two different one-parametric perturbations ($+\lambda x$ and $+\lambda x^2$) of a dissipative scalar nonautonomous ordinary differential equation $x'=f(t,x)$ are described assuming that 0 is a constant…

Dynamical Systems · Mathematics 2023-09-28 J. Dueñas , C. Núñez , R. Obaya

We study an asymmetric double InGaAs quantum well using optical two-dimensional coherent spectroscopy. The collection of zero-quantum, one-quantum, and two-quantum two-dimensional spectra provides a unique and comprehensive picture of the…

Mesoscale and Nanoscale Physics · Physics 2014-01-30 Gael Nardin , Galan Moody , Rohan Singh , Travis M. Autry , Hebin Li , Francois Morier-Genoud , Steven T. Cundiff

We investigate the quantum dynamics of a quadratic-quartic anharmonic oscillator formed by a potential well between two potential barriers. We realize this novel potential shape with a superconducting circuit comprised of a loop interrupted…

Time analysis of oscillations of a particle between wells in the one-dimensional double-well potential with infinite high outside walls, based on wave packet use and energy spectrum analysis, is presented. For the double-well potential of…

Nuclear Theory · Physics 2007-05-23 Sergei P. Maydanyuk

The pseudopotentials describing interaction of Laughlin quasielectrons (QE) and quasiholes (QH) in an infinite fractional quantum Hall system are studied. The QE and QH pseudopotentials are similar which suggests the (approximate)…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Arkadiusz Wojs

We probe both the unidimensional quartic harmonic oscillator and the double well potential through a numerical analysis of the Functional Renormalization Group flow equations truncated at first order in the derivative expansion. The two…

High Energy Physics - Theory · Physics 2022-09-14 Alfio Bonanno , Alessandro Codello , Dario Zappala'

We discuss two simple variational approaches to quantum wells. The trial harmonic functions analyzed in an earlier paper give reasonable results for all well depths and are particularly suitable for deep wells. On the other hand, the…

Quantum Physics · Physics 2012-04-05 Francisco M. Fernández

At the large distances compared to the chiral symmetry breaking scale, a four-quark system $\bar Q \bar Q qq$ (with $Q$ as heavy and $q$ as light quarks) can be treated as two asymptotic mesons interacting via strong residual forces. The…

High Energy Physics - Phenomenology · Physics 2025-02-28 Muhammad Naeem Anwar

We have derived and analyzed the wavefunctions and energy states for an asymmetric double quantum wells, broadened due to static interface disorder effects, within well known discreet variable representation approach for solving the…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Vladimir Gavryushin

Recently it was shown that in the dynamical model of Chua circuit both the classical selfexcited and hidden chaotic attractors can be found. In this paper the dynamics of the Chua circuit is revisited. The scenario of the chaotic dynamics…

Chaotic Dynamics · Physics 2018-03-14 N. V. Stankevich , N. V. Kuznetsov , G. A. Leonov , L. O. Chua

Using the intertwining relation we construct a pseudosuperpartner for a (non-Hermitian) Dirac-like Hamiltonian describing a two-level system interacting in the rotating wave approximation with the electric component of an electromagnetic…

Quantum Physics · Physics 2009-11-11 Boris F Samsonov , V V Shamshutdinova

The bifurcation structure of coupled periodically driven double-well Duffing oscillators is investigated as a function of the strength of the driving force $f$ and its frequency $\Omega$. We first examine the stability of the steady state…

Chaotic Dynamics · Physics 2015-06-26 Anatole Kenfack

One examines the infinitely deep quantum cavity, also known as the quantum infinite square well, within the framework of the real Hilbert space. The solutions are considered in terms of complex wave functions, and also in terms of…

Quantum Physics · Physics 2026-02-19 Sergio Giardino

We present new experimental results on the quenching dynamics of an extended thermo-convective system (a network array of approximately 100 convective oscillators) going through a secondary subcritical bifurcation. We characterize a…

Pattern Formation and Solitons · Physics 2015-03-19 M. A. Miranda , J. Burguete , W. González-Viñas , H. Mancini

The effect of small forced symmetry breaking on the dynamics near a structurally stable heteroclinic cycle connecting two equilibria and a periodic orbit is investigated. This type of system is known to exhibit complicated, possibly chaotic…

Chaotic Dynamics · Physics 2008-05-07 Vivien Kirk , Alastair M. Rucklidge