TIME-DEPENDENT PERTURBATION THEORY, TRANSITION PROBABILITIES, AND SCATTERING

2007 ◽  
pp. 175-200
Keyword(s):  
Perturbation Theory ◽  
Transition Probabilities ◽  
Time Dependent

Study of molecular collisions using a new interpolation scheme

1979 ◽  
Vol 57 (1) ◽  
pp. 69-72 ◽  
Author(s):  
G. K. Johri ◽  
Suresh C. Mehrotra
Keyword(s):  
Perturbation Theory ◽  
Line Width ◽  
Transition Probabilities ◽  
Rotational Transition ◽  
Time Dependent ◽  
Interpolation Scheme ◽  
Molecular Collisions ◽  
First Time

An interpolation scheme as suggested, by Mehrotra and Boggs in their time-dependent perturbation theory is applied for the first time to the study of strong collisions and to evaluate the collision induced transition probabilities when their absolute values are more than one. This approximation is used to compute the line width parameter of the rotational transition J = 1 → 2 of the OCS–OCS system.

The tunable 0−π qubit: Dynamics and relaxation

2021 ◽  
Author(s):  
Garima Rajpoot ◽  
Komal Kumari ◽  
Sandeep Joshi ◽  
Sudhir R. Jain
Keyword(s):  
Perturbation Theory ◽  
Ground State ◽  
Transition Probabilities ◽  
Time Dependent ◽  
Quantum Zeno Effect ◽  
Systematic Treatment ◽  
Resonant Frequencies ◽  
Gauge Invariant ◽  
Zeno Effect ◽  
Important Variation

In this paper, we present a systematic treatment of a [Formula: see text] qubit in the presence of a time-dependent external flux. A gauge-invariant Lagrangian and the corresponding Hamiltonian are obtained. The effect of the flux noise on the qubit relaxation is obtained using the perturbation theory. Under a time-dependent drive of sinusoidal form, the survival probability, and transition probabilities have been studied for different strengths and frequencies. The driven qubit is shown to possess coherent oscillations among two distinct states for a weak to moderate strength close to resonant frequencies of the unperturbed qubit. The parameters can be chosen to prepare the system in its ground state. This feature paves the way to prolong the lifetime by combining ideas from weak measurement and quantum Zeno effect. We believe that this is an important variation of a topologically protected qubit which is tunable.

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