Selected Publications


Quantum Dynamical Entropies and Quantum Chaos


1.      F. Benatti, H. Narnhofer,

Strong Asymptotic Abelianess for Entropic K-Systems,

Commun. Math. Phys. 136, 231 (1991)                                                                                                           

2.      F. Benatti,

Deterministic Chaos in Infinite Quantum Systems,

Trieste Notes in  Physics, Springer-Verlag 1993

3.      F. Benatti, T. Hudetz, A. Knauf,

Quantum Chaos and Dynamical Entropy,

Commun. Math. Phys. 198, 607 (1998)                                                                                                            

4.      F. Benatti, T. Krueger, M. Mueller, R. Siegmund-Schultze, A- Szkola, 

Entropy and Quantum Kolmogorov Complexity: a Quantum Brudno's Theorem,

Commun. Math. Phys. 265, 437-461 (2006)

5.      F. Benatti,

Dynamics, Information and Complexity in Quantum Systems,

Theoretical and Mathematical Physics, Springer 2009

6.      F. Benatti, H. Narnhofer, G. L. Sewell,

A Non-Commutative Version of the Arnold Cat Map,

J. Math. Phys. 21, 157 (1991)

7.      F. Benatti, M. Fannes,

Statistics and Quantum Chaos,

J. Phys. A 31, 9123 (1998)

8.      J. Andries, F. Benatti, M. De Cock, M. Fannes,

Multi-time correlations in relaxing quantum dynamical systems,

Rev.  Math. Phys. 12, 921 (2000)

9.      F. Benatti, V. Cappellini, M. De Cock, M. Fannes, D. Van Peteghem,

Classical Limit of Quantum Dynamical Entropies,

Rev. Math. Phys. 15, 1 (2003)


Quantum Information


10.  F. Benatti

Entropy of a Subalgebra and Quantum Estimation,

J. Math. Phys. 37, 5244 (1996)

11.  F.Benatti, H. Narnhofer,

Additivity of the Entanglement of Formation,

Phys. Rev. A 63, 04230 (2001)

12.  F. Benatti, H. Narnhofer. A. Uhlmann,

Broken Symmetries in the Entanglement of Formation,

J. Math. Phys. 44, 2402 (2003)

13.  F. Benatti, B. Hiesmayr, H. Narnhofer,

Multi-distributed Entanglement in Finitely Correlated Chains,

EPL 72, 28 (2005)

14.  F. Benatti, R. Floreanini, A. Liguori,

Extended reduction criterion and lattice states,

J. Math. Phys. 48, 052103 (2007)


Open Quantum Systems and Complete Positivity


15.  F. Benatti, R. Floreanini,

Completely Positive Dynamical Maps and the Neutral Kaon System,

Nuc. Phys. B 488, 335 (1997)

16.  F. Benatti, R. Floreanini,

Completeley Positive Dynamics of Correlated Kaons,

Nucl. Phys. B 511, 550 (1998)

17.  F. Benatti, R. Floreanini, R. Romano,

Complete Positivity and Entangled Degrees of Freedom,

J. Phys. A: Math. Gen. 35, 4955 (2002)

18.  F. Benatti, R. Floreanini, M. Piani,

Environment induced entanglement in Markovian dissipative dynamics,

Phys. Rev. Lett. 91, 070402 (2003)

19.  F. Benatti, R. Floreanini,

Open Quantum Dynamics: Complete Positivity and Entanglement,

Int. J. Mod. Phys. B 19 (2005) 3063

20.  F. Benatti, R. Floreanini,

Entangling Oscillators Through Environmental Noise,

J.Phys. A  39, 2689 (2006)

21.  F. Benatti, R. Floreanini,

Asymptotic Entanglement of Two Independent Systems in a Common Bath,

Int. J. Quant. Inf. 4, 395 (2006)

22.  F. Benatti, A. M. Liguori, A. Nagy,

Environment induced bipartite entanglement,

J. Math. Phys. 49, 042103 (2008)

Noise and Ultracold Atoms
23.  S. Anderloni, F. Benatti, R. Floreanini, G.G. Guerreschi, 
Noise induced Interference Fringes in Trapped Ultracold Bosonic Gases, 
Phys. Rev. A 78, 052118 (2008)
24.  F. Benatti, R. Floreanini, A. Trombettoni, 
Quantum Measuring Processes For Trapped Ultracold Bosonic Gases, 
J. Phys. A 42, 035306 (2009)