Symmetry, coherent states, and control of quantum dynamics

Author(s):  
Alexander V. Gorokhov
Entropy ◽  
2021 ◽  
Vol 23 (7) ◽  
pp. 905
Author(s):  
Nina Megier ◽  
Manuel Ponzi ◽  
Andrea Smirne ◽  
Bassano Vacchini

Simple, controllable models play an important role in learning how to manipulate and control quantum resources. We focus here on quantum non-Markovianity and model the evolution of open quantum systems by quantum renewal processes. This class of quantum dynamics provides us with a phenomenological approach to characterise dynamics with a variety of non-Markovian behaviours, here described in terms of the trace distance between two reduced states. By adopting a trajectory picture for the open quantum system evolution, we analyse how non-Markovianity is influenced by the constituents defining the quantum renewal process, namely the time-continuous part of the dynamics, the type of jumps and the waiting time distributions. We focus not only on the mere value of the non-Markovianity measure, but also on how different features of the trace distance evolution are altered, including times and number of revivals.


1999 ◽  
Vol 40 (2) ◽  
pp. 766-786 ◽  
Author(s):  
Jorge A. Morales ◽  
Erik Deumens ◽  
Yngve Öhrn

1995 ◽  
Vol 09 (28n29) ◽  
pp. 1839-1844 ◽  
Author(s):  
Z. HABA

Quantum dynamics of integrable systems is discussed. Localized wave packets generalizing the conventional coherent states of minimal uncertainty are constructed. The wave packet moves along a certain trajectory and does not change its shape for times of order [Formula: see text].


2021 ◽  
Vol 26 (4) ◽  
pp. 68-75
Author(s):  
A. V. Gorokhov ◽  
G. I. Eremenko

A system of two dipole-dipole interacting two-level elements (qubits) in external fields is considered. It is shown that using the coherent states (CS) of the dynamic symmetry group of the SU(2)SU(2) system, the time evolution can be reduced to the "classical" dynamics of the complex parameters of the CS. The trajectories of the CS are constructed and the time dependences of the probability of finding qubits at the upper levels are calculated.


2007 ◽  
Vol 54 (16-17) ◽  
pp. 2499-2512 ◽  
Author(s):  
P. D. Drummond ◽  
P. Deuar ◽  
T. G. Vaughan ◽  
J. F. Corney

2014 ◽  
Vol 43 (8) ◽  
pp. 2476-2491 ◽  
Author(s):  
Daan Brinks ◽  
Richard Hildner ◽  
Erik M. H. P. van Dijk ◽  
Fernando D. Stefani ◽  
Jana B. Nieder ◽  
...  

Room-temperature studies of single molecules at femtosecond timescales provide detailed observation and control of ultrafast electronic and vibrational dynamics of organic dyes and photosynthetic complexes, probing quantum dynamics at ambient conditions and elucidating its role in chemistry and biology.


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