scholarly journals A comparison of vakonomic and nonholonomic dynamics for systems on Lie groups∗∗This research was supported by the National Science Center under the grant DEC-2011/02/A/ST1/00208 “Solvability, chaos and control in quantum systems”.

2015 ◽  
Vol 48 (13) ◽  
pp. 81-86
Author(s):  
Michał Jóźwikowski ◽  
Witold Respondek
1991 ◽  
Author(s):  
William C. Bullock ◽  
W. R. Pittman ◽  
Douglas C. Heinen

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.


2021 ◽  
Author(s):  
Gershon Kurizki ◽  
Abraham G. Kofman

The control of open quantum systems and their associated quantum thermodynamic properties is a topic of growing importance in modern quantum physics and quantum chemistry research. This unique and self-contained book presents a unifying perspective of such open quantum systems, first describing the fundamental theory behind these formidably complex systems, before introducing the models and techniques that are employed to control their quantum thermodynamics processes. A detailed discussion of real quantum devices is also covered, including quantum heat engines and quantum refrigerators. The theory of open quantum systems is developed pedagogically, from first principles, and the book is accessible to graduate students and researchers working in atomic physics, quantum information, condensed matter physics, and quantum chemistry.


Automatica ◽  
2016 ◽  
Vol 68 ◽  
pp. 254-265 ◽  
Author(s):  
Alireza Khosravian ◽  
Jochen Trumpf ◽  
Robert Mahony ◽  
Tarek Hamel

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