scholarly journals Dynamical algebra of observables in dissipative quantum systems

2017 ◽  
Vol 50 (6) ◽  
pp. 065301 ◽  
Author(s):  
Sahar Alipour ◽  
Dariusz Chruściński ◽  
Paolo Facchi ◽  
Giuseppe Marmo ◽  
Saverio Pascazio ◽  
...  
Keyword(s):  
Quantum Systems ◽  
Algebra Of Observables ◽  
Dissipative Quantum Systems ◽  
Dynamical Algebra

scholarly journals Effective quantum Zeno dynamics in dissipative quantum systems

2018 ◽  
Vol 98 (5) ◽  
Author(s):  
Vladislav Popkov ◽  
Simon Essink ◽  
Carlo Presilla ◽  
Gunter Schütz
Keyword(s):  
Quantum Systems ◽  
Quantum Zeno Dynamics ◽  
Dissipative Quantum Systems

scholarly journals Non-commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems

2019 ◽  
Vol 178 (2) ◽  
pp. 319-378 ◽  
Author(s):  
Eric A. Carlen ◽  
Jan Maas
Keyword(s):  
Spectral Gap ◽  
Optimal Transport ◽  
Quantum Systems ◽  
Sobolev Inequalities ◽  
Unified Framework ◽  
Logarithmic Sobolev Inequalities ◽  
Curvature Bounds ◽  
Finite Dimensional ◽  
Dissipative Quantum Systems ◽  
Entropy Inequalities

AbstractWe study dynamical optimal transport metrics between density matrices associated to symmetric Dirichlet forms on finite-dimensional $$C^*$$ C ∗ -algebras. Our setting covers arbitrary skew-derivations and it provides a unified framework that simultaneously generalizes recently constructed transport metrics for Markov chains, Lindblad equations, and the Fermi Ornstein–Uhlenbeck semigroup. We develop a non-nommutative differential calculus that allows us to obtain non-commutative Ricci curvature bounds, logarithmic Sobolev inequalities, transport-entropy inequalities, and spectral gap estimates.

Dynamics of Interacting Classical and Quantum Systems

2011 ◽  
Vol 18 (04) ◽  
pp. 339-351 ◽  
Author(s):  
Dariusz Chruściński ◽  
Andrzej Kossakowski ◽  
Giuseppe Marmo ◽  
E. C. G. Sudarshan
Keyword(s):  
Characteristic Feature ◽  
Quantum Dynamics ◽  
Quantum Discord ◽  
Main Idea ◽  
Quantum Correlations ◽  
Quantum Systems ◽  
Quantum States ◽  
Algebra Of Observables ◽  
Classical Quantum ◽  
True Quantum

We analyze the dynamics of coupled classical and quantum systems. The main idea is to treat both systems as true quantum ones and impose a family of superselection rules which imply that the corresponding algebra of observables of one subsystem is commutative and hence may be treated as a classical one. Equivalently, one may impose a special symmetry which restricts the algebra of observables to the 'classical' subalgebra. The characteristic feature of classical-quantum dynamics is that it leaves invariant a subspace of classical-quantum states, that is, it does not create quantum correlations as measured by the quantum discord.

The energy minimization problem for two-level dissipative quantum systems

2010 ◽  
Vol 51 (9) ◽  
pp. 092705 ◽  
Author(s):  
B. Bonnard ◽  
O. Cots ◽  
N. Shcherbakova ◽  
D. Sugny
Keyword(s):  
Minimization Problem ◽  
Energy Minimization ◽  
Quantum Systems ◽  
Dissipative Quantum Systems

Dissipative quantum systems with a potential barrier. II. Dynamics near the barrier top

1995 ◽  
Vol 52 (5) ◽  
pp. 4704-4723 ◽  
Author(s):  
Joachim Ankerhold ◽  
Hermann Grabert
Keyword(s):  
Potential Barrier ◽  
Quantum Systems ◽  
Dissipative Quantum Systems

scholarly journals Dynamical regimes of dissipative quantum systems

2013 ◽  
Vol 88 (24) ◽  
Author(s):  
D. M. Kennes ◽  
O. Kashuba ◽  
V. Meden
Keyword(s):  
Quantum Systems ◽  
Dynamical Regimes ◽  
Dissipative Quantum Systems
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