Electronic Dephasing of Polyatomic Molecules Interacting with Mixed Quantum-Classical Media

2021 ◽  
Author(s):  
Mohamad Toutounji
Keyword(s):  
Time Evolution ◽  
Quantum Systems ◽  
Polyatomic Molecules ◽  
Coupling Term ◽  
Electronic Dephasing

This paper offers an expedient, efficient and unique treatment of a multimode quantum systems (polyatomic molecules) interacting with a classical environment in which the time evolution of the coupling term...

scholarly journals Perturbation Analysis of Quantum Reset Models

2021 ◽  
Vol 183 (1) ◽  
Author(s):  
Géraldine Haack ◽  
Alain Joye
Keyword(s):  
Steady State ◽  
Perturbation Analysis ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Markov Semigroup ◽  
Coupling Constant ◽  
Coupling Term ◽  
Open Quantum ◽  
Effective Dynamics ◽  
A Chain

AbstractThis paper is devoted to the analysis of Lindblad operators of Quantum Reset Models, describing the effective dynamics of tri-partite quantum systems subject to stochastic resets. We consider a chain of three independent subsystems, coupled by a Hamiltonian term. The two subsystems at each end of the chain are driven, independently from each other, by a reset Lindbladian, while the center system is driven by a Hamiltonian. Under generic assumptions on the coupling term, we prove the existence of a unique steady state for the perturbed reset Lindbladian, analytic in the coupling constant. We further analyze the large times dynamics of the corresponding CPTP Markov semigroup that describes the approach to the steady state. We illustrate these results with concrete examples corresponding to realistic open quantum systems.

Vibrational dynamics of polyatomic molecules in solution: assignment, time evolution and mixing of instantaneous normal modes

2010 ◽  
Vol 128 (4-6) ◽  
pp. 769-782 ◽  
Author(s):  
Adrián Kalstein ◽  
Sebastián Fernández-Alberti ◽  
Adolfo Bastida ◽  
Miguel Angel Soler ◽  
Marwa H. Farag ◽  
...  
Keyword(s):  
Time Evolution ◽  
Normal Modes ◽  
Polyatomic Molecules ◽  
Vibrational Dynamics ◽  
Instantaneous Normal Modes

scholarly journals Time-evolution of quantum systems via a complex nonlinear Riccati equation. II. Dissipative systems

2016 ◽  
Vol 373 ◽  
pp. 609-630 ◽  
Author(s):  
Hans Cruz ◽  
Dieter Schuch ◽  
Octavio Castaños ◽  
Oscar Rosas-Ortiz
Keyword(s):  
Riccati Equation ◽  
Time Evolution ◽  
Quantum Systems ◽  
Dissipative Systems
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