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

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.

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A bayesian approach to short-time quantum dynamics: quantum instantaneous normal modes

Chemical Physics Letters ◽

10.1016/s0009-2614(96)01260-2 ◽

1996 ◽

Vol 263 (5) ◽

pp. 671-679 ◽

Cited By ~ 5

Author(s):

S.A. Corcelli ◽

J.D. Doll

Keyword(s):

Bayesian Approach ◽

Quantum Dynamics ◽

Normal Modes ◽

Time Quantum ◽

Short Time ◽

Instantaneous Normal Modes

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A quantum-mechanical tier model for phonon-driven vibrational relaxation dynamics of adsorbates at surfaces

The Journal of Chemical Physics ◽

10.1063/1.5099902 ◽

2019 ◽

Vol 150 (24) ◽

pp. 244105 ◽

Cited By ~ 3

Author(s):

F. Bouakline ◽

E. W. Fischer ◽

P. Saalfrank

Keyword(s):

Vibrational Relaxation ◽

Quantum Mechanical ◽

Relaxation Dynamics

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

International Journal of Modern Physics B ◽

10.1142/s0217979205029444 ◽

2005 ◽

Vol 19 (11) ◽

pp. 1943-1953 ◽

Cited By ~ 4

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.

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Very Low Energy Collision Induced Vibrational Relaxation: An Overview

Laser Chemistry ◽

10.1155/lc.2.137 ◽

1983 ◽

Vol 2 (3-4) ◽

pp. 137-166 ◽

Cited By ~ 7

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.

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