Interacting Bosons in a Double-Well Potential: Localization Regime
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-018-3156-2
Abstract: We study the ground state of a large bosonic system trapped in a symmetric double-well potential, letting the distance between the two wells increase to infinity with the number of particles. In this context, one… read more here.
Keywords: potential localization; bosons double; interacting bosons; well potential ... See more keywords
Heteroclinic connections for a double-well potential with an asymptotically periodic coefficient
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.03.022
Abstract: Abstract We prove the existence of monotone heteroclinic solutions to a scalar equation of the kind u ″ = a ( t ) V ′ ( u ) under the following assumptions: V ∈ C… read more here.
Keywords: connections double; asymptotically periodic; well potential; heteroclinic connections ... See more keywords
Information length as a new diagnostic in the periodically modulated double-well model of stochastic resonance
Sign Up to like & getrecommendations! Published in 2019 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2019.04.074
Abstract: Abstract We consider the classical double-well model of stochastic resonance, in which a particle in a potential V ( x , t ) = [ − x 2 ∕ 2 + x 4 ∕ 4… read more here.
Keywords: double well; model stochastic; resonance; stochastic resonance ... See more keywords
Metastability for telegraph processes in a double-well potential
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Applied Probability"
DOI: 10.1017/jpr.2025.10027
Abstract: We study equations with nonlinearity in the form of a double-well potential, randomised by a velocity-switching (telegraph) stochastic process. If the speed parameters of the randomisation are small, then this dynamics has one metastable uncertainty… read more here.
Keywords: double well; telegraph processes; processes double; well potential ... See more keywords
Applicability of the Thawed Gaussian Wavepacket Dynamics to the Calculation of Vibronic Spectra of Molecules with Double-Well Potential Energy Surfaces.
Sign Up to like & getrecommendations! Published in 2022 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.2c00030
Abstract: Simulating vibrationally resolved electronic spectra of anharmonic systems, especially those involving double-well potential energy surfaces, often requires expensive quantum dynamics methods. Here, we explore the applicability and limitations of the recently proposed single-Hessian thawed Gaussian… read more here.
Keywords: well potential; energy surfaces; potential energy; energy ... See more keywords
The modified airy function approximation applied to the double-well potential
Sign Up to like & getrecommendations! Published in 2025 at "AIP Advances"
DOI: 10.1063/5.0241523
Abstract: The single harmonic oscillator and double-well potentials are important systems in quantum mechanics. The single harmonic oscillator is the paradigm in physics and is taught in nearly all beginner undergraduate classes, while the double-well potential… read more here.
Keywords: modified airy; airy function; wave functions; double well ... See more keywords
Dynamical properties of a few mass-imbalanced ultra-cold fermions confined in a double-well potential
Sign Up to like & getrecommendations! Published in 2020 at "New Journal of Physics"
DOI: 10.1088/1367-2630/ab878c
Abstract: A comprehensive analysis of the exact unitary dynamics of two-component mass-imbalanced fermions in a one-dimensional double-well potential is accomplished by considering the total number of particles maximum up to six. The simultaneous effect of mass… read more here.
Keywords: double well; properties mass; mass imbalanced; dynamical properties ... See more keywords
Quantum fidelity and Von Neumann entropy of a Bose-Fermi mixture in 1D double well potential
Sign Up to like & getrecommendations! Published in 2024 at "Physica Scripta"
DOI: 10.1088/1402-4896/ad4787
Abstract: The time evolution of probability density, the ground-state fidelity and the entanglement of a Bose-Fermi mixture in a 1D double well potential, are studied through the two-mode approximation. We found that the behavior of the… read more here.
Keywords: double well; bose fermi; fidelity; mixture double ... See more keywords
Approximate bound state solutions of the Dunkl-Schrödinger equation for a hyperbolic double-well interaction
Sign Up to like & getrecommendations! Published in 2024 at "Physica Scripta"
DOI: 10.1088/1402-4896/ad4fc8
Abstract: We construct approximate solutions to the stationary, one-dimensional Schrödinger equation for a hyperbolic double-well potential within the Dunkl formalism. Our approximation is applied to an inverse quadratic term contributed by the Dunkl formalism in the… read more here.
Keywords: equation hyperbolic; hyperbolic double; schr dinger; double well ... See more keywords
Double-well inflation: observational constraints and theoretical implications
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Cosmology and Astroparticle Physics"
DOI: 10.1088/1475-7516/2024/11/055
Abstract: We revisit the small field double-well inflationary model and investigate its observational viability in light of the current Cosmic Microwave Background data. In particular, considering scenarios with minimal and nonminimal coupling between the inflaton field… read more here.
Keywords: observational constraints; double well; constraints theoretical; theoretical implications ... See more keywords
Erratum: Virtual double-well potential for an underdamped oscillator created by a feedback loop (2022 J. Stat. Mech. 053209)
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/acd697
Abstract: In this note, we correct the expression of the switching rate of the potential barrier for a system at temperature T expressed in equation (8) and derived in appendix B. We also update below all… read more here.
Keywords: well potential; virtual double; energy; double well ... See more keywords