scholarly journals Interference of a resonance state with itself: a route to control its dynamical behaviour

2020 ◽  
Vol 22 (26) ◽  
pp. 14637-14644
Author(s):  
A. García-Vela
Keyword(s):  
Laser Field ◽  
Quantum Interference ◽  
Dynamical Behavior ◽  
Resonance State ◽  
Weak Field ◽  
Dynamical Behaviour ◽  
State Distribution ◽  
Decay Lifetime

It is demonstrated both numerically and mathematically that the dynamical behavior of an isolated resonance state (the decay lifetime and the asymptotic fragment state distribution), can be extensively controlled by means of quantum interference induced by a laser field in the weak-field regime.

scholarly journals On the Dynamical Behavior of Toxic-Phytoplankton-Zooplankton Model with Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Mehbuba Rehim ◽  
Weixin Wu ◽  
Ahmadjan Muhammadhaji
Keyword(s):  
Time Delay ◽  
Phytoplankton Bloom ◽  
Dynamical Behavior ◽  
Time Lag ◽  
Toxic Substance ◽  
Predation Rate ◽  
Dynamical Behaviour ◽  
Toxic Substances ◽  
Toxic Phytoplankton ◽  
Discrete Time Delay

A toxin producing phytoplankton-zooplankton model with inhibitory exponential substrate and time delay has been formulated and analyzed. Since the liberation of toxic substances by phytoplankton species is not an instantaneous process but is mediated by some time lag required for maturity of the species and the zooplankton mortality due to the toxic phytoplankton bloom occurs after some time laps of the bloom of toxic phytoplankton, we induced a discrete time delay to both of the consume response function and distribution of toxic substance term. Furthermore, based on the fact that the predation rate decreases at large toxic-phytoplankton density, the system is modelled via a Tissiet type functional response. We study the dynamical behaviour and investigate the conditions to guarantee the coexistence of two species. Analytical methods and numerical simulations are used to obtain information about the qualitative behaviour of the models.

scholarly journals Dynamical Behaviour in Two Prey-Predator System with Persistence

2016 ◽  
Vol 16 ◽  
pp. 20-37
Author(s):  
V. Madhusudanan ◽  
S. Vijaya
Keyword(s):  
Limit Cycle ◽  
Equilibrium Points ◽  
Dynamical Behavior ◽  
Sufficient Conditions ◽  
Dynamical Behaviour ◽  
Positive Equilibrium ◽  
Predator Population ◽  
Interior Equilibrium ◽  
Trivial Equilibrium ◽  
Necessary And Sufficient

In this work, the dynamical behavior of the system with two preys and one predator population is investigated. The predator exhibits a Holling type II response to one prey which is harvested and a Beddington-DeAngelis functional response to the other prey. The boundedness of the system is analyzed. We examine the occurrence of positive equilibrium points and stability of the system at those points. At trivial equilibrium E0and axial equilibrium (E1); the system is found to be unstable. Also we obtain the necessary and sufficient conditions for existence of interior equilibrium point (E6) and local and global stability of the system at the interior equilibrium (E6): Depending upon the existence of limit cycle, the persistence condition is established for the system. The numerical simulation infer that varying the parameters such as e and λ1it is possible to change the dynamical behavior of the system from limit cycle to stable spiral. It is also observed that the harvesting rate plays a crucial role in stabilizing the system.

scholarly journals Unravelling the role of quantum interference in the weak-field laser phase modulation control of photofragment distributions

2016 ◽  
Vol 18 (6) ◽  
pp. 4772-4779 ◽  
Author(s):  
Alberto García-Vela ◽  
Niels E. Henriksen
Keyword(s):  
Phase Modulation ◽  
Quantum Interference ◽  
Weak Field ◽  
Transient Phase ◽  
Modulation Control

The postpulse transient phase modulation effects observed on fragment populations are explained in terms of the mechanism of interference between overlapping resonances.

Entropy squeezing, nonlocal correlation and purification properties of two-trap ion interaction with laser field in the presence of Stark shift effect

2019 ◽  
Vol 33 (12) ◽  
pp. 1950118
Author(s):  
Yas Al-Hadeethi ◽  
Bahaaudin M. Raffah ◽  
Nawal Almalky ◽  
E. M. Khalil
Keyword(s):  
Laser Field ◽  
Entanglement Entropy ◽  
Dynamical Behavior ◽  
Stark Shift ◽  
Entanglement Sudden Death ◽  
Entropy Squeezing ◽  
Trapped Ion ◽  
Nonlocal Correlation ◽  
Initial States ◽  
Shift Effect

In this paper, the interaction between two trap ions with laser beam and electromagnetic field containing the Stark shift terms has been investigated. The analytical solution for the differential equations which describes the system Hamiltonian is obtained. The dynamical behavior for the entanglement, entropy squeezing and purity of system are discussed. Some important physical characteristics such as revivals and collapses for the occupation of the trapped ion, entanglement sudden death (birth) and single trapped ion entropy squeezing are discussed. In addition, the influence of Lamb–Dicke parameter and the initial states on the evolution of the entanglement, linear entropy are studied. Finally, some remarks about the obtained results are given briefly.

scholarly journals Ultrafast Dynamics of High-Harmonic Generation in Terms of Complex Floquet Spectral Analysis

Symmetry ◽  
2018 ◽  
Vol 10 (8) ◽  
pp. 313 ◽  
Author(s):  
Hidemasa Yamane ◽  
Satoshi Tanaka
Keyword(s):  
Spectral Analysis ◽  
Harmonic Generation ◽  
Laser Field ◽  
Quantum Interference ◽  
High Harmonic ◽  
High Harmonic Generation ◽  
Spectral Features ◽  
Quantum Process ◽  
Time Regime ◽  
Long Time

We studied the high-harmonic generation (HHG) of a two-level-system (TLS) driven by an intense monochromatic phase-locked laser based on complex spectral analysis with the Floquet method. In contrast with phenomenological approaches, this analysis deals with the whole process as a coherent quantum process based on microscopic dynamics. We have obtained the time-frequency resolved spectrum of spontaneous HHG single-photon emission from an excited TLS driven by a laser field. Characteristic spectral features of the HHG, such as the plateau and cutoff, are reproduced by the present model. Because the emitted high-harmonic photon is represented as a superposition of different frequencies, the Fano profile appears in the long-time spectrum as a result of the quantum interference of the emitted photon. We reveal that the condition of the quantum interference depends on the initial phase of the driving laser field. We have also clarified that the change in spectral features from the short-time regime to the long-time regime is attributed to the interference between the interference from the Floquet resonance states and the dressed radiation field.

scholarly journals Study of the Dressed State of Hydrogen Atom in Electron Atom Elastic Collision in Laser Field

2020 ◽  
Vol 6 (2) ◽  
pp. 149-157
Author(s):  
K. Yadav ◽  
S. P. Gupta ◽  
J. J. Nakarmi
Keyword(s):  
Momentum Transfer ◽  
Laser Field ◽  
Scattering Matrix ◽  
Weak Field ◽  
Elastic Collision ◽  
Target Atom ◽  
Electron Atom ◽  
Dressed States ◽  
Atomic States ◽  
Very High

We discuss the various important aspects of the theory of electron-atom elastic collision in laser field. We analyze the collision accompanied by the transfer of  photons. We study the free electron states i.e. Volkov states and target atomic states i.e. Dressed states. We calculate the first-Born scattering matrix for electron-atom elastic collision. The present work accounts the calculation for hydrogen as target atom in soft photon limits i.e., in weak field. The dressing effect becomes significant in the region of low momentum transfer, reaches maximum of value of 25000 a.u. at momentum transfer of 0.44. This work explains that the differential cross-section does not occur very low and at very high momentum transfer. However, it occurs at moderate momentum transfer.

Analysis of the Dynamical Behaviour of an Offshore Supply Vessel With Water on Deck

2002 ◽  
Author(s):  
Manuel Laranjinha ◽  
Jeffrey M. Falzarano ◽  
Carlos Guedes Soares
Keyword(s):  
Significant Influence ◽  
Parametric Study ◽  
Dynamical Behavior ◽  
Three Dimensional ◽  
Dynamical Behaviour ◽  
Roll Motion ◽  
Dynamical Response ◽  
Three Dimensional Flow ◽  
Water On Deck ◽  
Made In

This paper describes a study of the influence of the water on deck on the dynamical behavior of an offshore supply vessel with a large open aft deck. The deck under certain load and sea conditions can become partially or totally immersed. This study focuses on the roll motion that can be of large amplitude and therefore has implications and risks for the ship’s safety. The Glimm’s method is used to model the three-dimensional flow of shallow water on the deck. A parametric study is made in order to show the effect of the relevant parameters. It is shown that the water on deck has a significant influence on the ship’s dynamical response.

Sign in / Sign up

Export Citation Format

Share Document