A Short-Time Quantum Mechanical Expansion Approach to Vibrational Relaxation†

2001 ◽  
Vol 105 (28) ◽  
pp. 6550-6555 ◽  
Author(s):  
Eran Rabani ◽  
David R. Reichman
Keyword(s):  
Vibrational Relaxation ◽  
Quantum Mechanical ◽  
Time Quantum ◽  
Short Time

scholarly journals Short-time quantum detection: Probing quantum fluctuations

2012 ◽  
Vol 85 (4) ◽  
Author(s):  
Marco del Rey ◽  
Carlos Sabín ◽  
Juan León
Keyword(s):  
Quantum Fluctuations ◽  
Time Quantum ◽  
Quantum Detection ◽  
Short Time

Quantum-mechanical study of vibrational relaxation of HF in collisions with Ar atoms

2001 ◽  
Vol 114 (3) ◽  
pp. 1249-1258 ◽  
Author(s):  
Roman V. Krems ◽  
Nikola Marković ◽  
Alexei A. Buchachenko ◽  
Sture Nordholm
Keyword(s):  
Vibrational Relaxation ◽  
Quantum Mechanical ◽  
Mechanical Study ◽  
Quantum Mechanical Study

THE AMPLITUDE SQUEEZING EFFECTS OF THE ELECTROMAGNETIC FIELD IN SIX-WAVE INTERACTION MODEL

2008 ◽  
Vol 22 (03) ◽  
pp. 219-230 ◽  
Author(s):  
DILIP-KUMAR GIRI ◽  
P. S. GUPTA
Keyword(s):  
Electromagnetic Field ◽  
Equations Of Motion ◽  
Interaction Model ◽  
Wave Interaction ◽  
Quantum Mechanical ◽  
Short Time Scale ◽  
Signal Photon ◽  
Signal Mode ◽  
Quantum Mechanical Approach ◽  
Short Time

The amplitude squeezing properties of the electromagnetic field is investigated in the fundamental, Stokes (probe) and signal mode in six-wave mixing process under short-time approximation based on a fully quantum mechanical approach. The interaction is looked upon as a process involving absorption of two pump photons and emission of three probe photons and one signal photon at different frequencies. The coupled Heisenberg quantum mechanical equations of motion involving real and imaginary parts of the quadrature operators are established and solved under short-time scale. The occurrence of amplitude squeezing effects in both the quadrature of the radiation field in the fundamental mode as well as in the Stokes (probe) mode is investigated using the required conditions of squeezing in each of the cases. It is also shown that the squeezing in the signal mode is found to be dependent on amplitude-squared squeezing of the initial pump field. This gives a method of converting higher-order (amplitude-squared) squeezing into normal squeezing.

nTH-ORDER SQUEEZING OF THE FIELD AMPLITUDE IN RAMAN PROCESS AS A GENERALIZATION OF THE HIGHER-ORDER SQUEEZING

2005 ◽  
Vol 19 (11) ◽  
pp. 1943-1953 ◽  
Author(s):  
DILIP KUMAR GIRI ◽  
P. S. GUPTA
Keyword(s):  
Photon Number ◽  
Equation Of Motion ◽  
Higher Order ◽  
Field Amplitude ◽  
Quantum Mechanical ◽  
Heisenberg Equation ◽  
Raman Process ◽  
Mechanical Approach ◽  
Quantum Mechanical Approach ◽  
Short Time

The concept of nth-order amplitude squeezing is introduced in the fundamental mode in Raman process as a generalization of the higher-order squeezing under short-time approximation based on a fully quantum mechanical approach. The condition for occurrence of nth-order squeezing is obtained from which higher-order squeezing up to n = 5 are studied. The coupled Heisenberg equation of motion involving real and imaginary parts of the quadrature operators is established. Dependence of squeezing on photon number is also established.

scholarly journals Very Low Energy Collision Induced Vibrational Relaxation: An Overview

1983 ◽  
Vol 2 (3-4) ◽  
pp. 137-166 ◽  
Author(s):  
Stuart A. Rice ◽  
Charles Cerjan
Keyword(s):  
Vibrational Relaxation ◽  
Polyatomic Molecules ◽  
Low Energy ◽  
Quantum Mechanical ◽  
Theoretical Studies ◽  
The Novel ◽  
Energy Collision ◽  
Quantum Mechanical Treatment ◽  
Experimental And Theoretical Studies ◽  
Full Quantum

Recent experimental and theoretical studies of very low energy collision induced vibrational relaxation in diatomic and polyatomic molecules are surveyed. Emphasis is placed on the novel features of the very low energy process; these require a full quantum mechanical treatment of the collision to account for the observations.

scholarly journals Short-time behavior of continuous-time quantum walks on graphs

2019 ◽  
Vol 100 (6) ◽  
Author(s):  
Balázs Endre Szigeti ◽  
Gábor Homa ◽  
Zoltán Zimborás ◽  
Norbert Barankai
Keyword(s):  
Continuous Time ◽  
Quantum Walks ◽  
Time Behavior ◽  
Time Quantum ◽  
Short Time

Short-time quantum dynamics of sharp boundaries potentials

2015 ◽  
Vol 459 ◽  
pp. 62-68
Author(s):  
Er'el Granot ◽  
Avi Marchewka
Keyword(s):  
Quantum Dynamics ◽  
Time Quantum ◽  
Short Time
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