Solving for Quantum Controls

2011 ◽  
Author(s):  
Katherine A. Kime
Keyword(s):  
Wave Packet ◽  
Potential Barrier ◽  
Wave Packets ◽  
Schroedinger Equation ◽  
Time Dependent ◽  
Single Peak ◽  
Double Peak ◽  
Quantum Wave ◽  
Dependent Potential

We study the use of a time-dependent potential barrier to control quantum wave packets, in a discretization of the Schroedinger equation. We consider computational issues in solving for a control which steers an initial single peak wave packet to a terminal double peak wave packet.

CONTROLLING WAVE PACKET INTERFERENCE OF DISSOCIATING MOLECULES BY SHAPING LASER PULSES IN FREQUENCY DOMAIN

2008 ◽  
Vol 07 (06) ◽  
pp. 1159-1169 ◽  
Author(s):  
YONG-CHANG HAN ◽  
KAI-JUN YUAN ◽  
SHU-LIN CONG
Keyword(s):  
Wave Packet ◽  
Frequency Domain ◽  
Laser Field ◽  
Wave Packets ◽  
Laser Pulses ◽  
Time Dependent ◽  
Pulse Excitation ◽  
Density Functions ◽  
Excitation Scheme ◽  
Quantum Wave

The interference of dissociating wave packets for the Br 2 molecule in femtosecond laser field is studied theoretically using time-dependent quantum wave packet method. The interference of dissociating wave packets can be determined by the spectrum of laser field. By shaping laser pulses in frequency domain, the corresponding R- and v-dependent density functions can be effectively controlled. Compared with the 2-pulse excitation scheme, the resolution of the interference patterns can be improved by using 3- and 4-pulse excitation schemes. The dissociating velocity can be steered by varying laser parameters.

Theoretical investigations of the Au++H2 reactive scattering by the time-dependent quantum wave packet method

2017 ◽  
Vol 31 (06) ◽  
pp. 1750039 ◽  
Author(s):  
Wentao Lee ◽  
Haixiang He ◽  
Maodu Chen
Keyword(s):  
Wave Packet ◽  
Cross Sections ◽  
Collision Energy ◽  
Time Dependent ◽  
Reactive Scattering ◽  
Total Reaction ◽  
Theoretical Investigations ◽  
Classical Trajectories ◽  
Quantum Wave

Employing the state-to-state time-dependent quantum wave packet method, the Au[Formula: see text]H2 reactive scattering with initial states [Formula: see text], [Formula: see text] and 1 were investigated. Total reaction probabilities, product state-resolved integral cross-sections (ICSs) and differential cross-sections (DCSs) were calculated up to collision energy of 4.5 eV. The numerical results show that total reaction probabilities and ICSs increase with increasing collision energies, and there is little effect to the reactive scattering processes from the rotational excitation of H2 molecule. Below collision energy of around 3.0 eV, the role of the potential well in the entrance channel is significant and the reactive scattering proceeds dominantly by an indirect process, which leads to a nearly symmetric shape of the DCSs. With collision energy higher than 4.0 eV, the reactive scattering proceeds through a direct process, which leads to a forward biased DCSs, and also a hotter rotational distributions of the products. Total ICS agrees with the results by the quasi-classical trajectories theory very well, which suggests that the quantum effects in this reactive process are not obvious. However, the agreement between the experimental total cross-section and our theoretical result is not so good. This may be due to the uncertainty of the experiment or/and the inaccuracy of the potential energy surface.

scholarly journals Effective quantum tunneling from a semiclassical momentous approach

2020 ◽  
Vol 34 (29) ◽  
pp. 2050271
Author(s):  
L. Aragón-Muñoz ◽  
G. Chacón-Acosta ◽  
H. Hernandez-Hernandez
Keyword(s):  
Dynamical System ◽  
Quantum Mechanics ◽  
Potential Barrier ◽  
Quantum Tunneling ◽  
Time Dependent ◽  
Tunnel Effect ◽  
Expectation Values ◽  
Effective Time ◽  
Dependent Potential ◽  
Individual Particles

In this work, we study the quantum tunnel effect through a potential barrier within a semiclassical formulation of quantum mechanics based on expectation values of configuration variables and quantum dispersions as dynamical variables. The evolution of the system is given in terms of a dynamical system for which we are able to determine numerical effective trajectories for individual particles, similar to the Bohmian description of quantum mechanics. We obtain a complete description of the possible trajectories of the system, finding semiclassical reflected, tunneled and confined paths due to the appearance of an effective time-dependent potential.

High-accurate transparent boundary conditions for time-dependent quantum wave packet method

2020 ◽  
Vol 33 (2) ◽  
pp. 258-262 ◽  
Author(s):  
Yin Huang ◽  
Hai-lin Zhao ◽  
Syed Kazim Usman ◽  
Ganiyu Ayodele Ajibade ◽  
Zhi-gang Sun
Keyword(s):  
Wave Packet ◽  
Boundary Conditions ◽  
Time Dependent ◽  
Transparent Boundary Conditions ◽  
Quantum Wave

State-resolved dynamics study of the H + HS reaction on the 3A′ and 3A″ states with time-dependent quantum wave packet method

2016 ◽  
Vol 145 (12) ◽  
pp. 124305 ◽  
Author(s):  
Hui Wu ◽  
Zhi-Xin Duan ◽  
Shu-Hui Yin ◽  
Guang-Jiu Zhao
Keyword(s):  
Wave Packet ◽  
Time Dependent ◽  
Quantum Wave
Sign in / Sign up

Export Citation Format

Share Document