Fabio BENATTI: Publications
 

[1]
F. Benatti,
Deterministic Chaos in Infinite Quantum Systems

Trieste Notes in Physics, Springer-Verlag 1993

 

[2]

F. Benatti

Dynamics, Information and Complexity in Quantum Systems,

Theoretical and Mathematical Physics, Springer 2009
 
 


[1]
F. Benatti, G. C. Ghirardi, T. Weber, A. Rimini,
Quantum Mechanics with Spontaneous Localization and the Quantum Theory of Measurement,
Il Nuovo Cim. 100B (1987) 27

[2]
F. Benatti, G. C. Ghirardi, T. Weber, A. Rimini,
Operations Involving Momentum Variables in Non-Hamiltonian Evolution Equations,
Il Nuovo Cim. 101B (1988) 333

[3]
F. Benatti,
Entropy Divergence in the Ghirardi-Rimini-Weber Model,
Phys.
Lett. A 132 (1988) 13

[4]
F.Benatti, H. Narnhofer,
Entropic Dimension for Completely Positive Maps,
J. Stat. Phys. 53 (1988) 1273

[5]
F. Benatti, H. Narnhofer,
Entropy Behaviour under Completely Positive Maps,
Lett. Math. Phys. 15 (1988) 325

[6]
F. Benatti, T. Weber,
The Evolution of the Harmonic Oscillator in Quantum Systems with Spontaneous Localization,
Il Nuovo Cim. 103B (1989) 511

[7]
F. Benatti,
On the Mixing-Enhancing Structure of a Class of Quantum Dynamical Semigroups,
J. Math. Phys. 31 (1990) 2399

[8]
F. Benatti, H. Narnhofer, G. L. Sewell,
A Non-Commutative Version of the Arnold Cat Map,
Lett. Math. Phys. 21 (1991) 157

[9]
F. Benatti, H. Narnhofer,
Strong Asymptotic Abelianess for Entropic K-Systems,
Comm. Math. Phys. 136 (1991) 231

[10]
F. Benatti, T. Weber,
Continuity Equation in Quantum Mechanics with Spontaneous Localization,
Il Nuovo Cim. 106B  (1991)

[11]
F. Benatti,
Deterministic Quantum Noise and Kolmogorov Systems,
Lett. Math. Phys. 24 (1992) 31

[12]
F. Benatti, T. Weber, Bell-like Inequality and Spontaneous Reduction Process,
Found. Phys. Lett. 5 (1992) 339

[13]
F. Benatti,  The Classical Limit of a Class of Quantum Dynamical Semigroups,
Ann. Inst. H. Poincare' 58 (1993) 309

[14]
F. Benatti, T. Weber, Histories, Bell-like inequalities and QMSL evolution ,
Found. Phys. Lett. 6 (1993) 109

[15]
F. Benatti, G.C. Ghirardi, R. Grassi,  On some Recent Proposals for Testing Macrorealism Versus Quantum Mechanics,
Found. Phys. Lett. 7 (1994) 105

[16]
F. Benatti, G. C. Ghirardi, R. Grassi,  Testing Macroscopic Quantum Coherence,
Il Nuovo Cim. 110B (1995) 593

[17]
F. Benatti, G. C. Ghirardi, R. Grassi, Quantum Mechanics with Spontaneous Localization and Experiments,
in: Advances in Quantum Phenomena, E. Beltrametti , J.M.Levy-Leblond eds., Plenum Press, New York, 263, 1995

[18]
G. C. Ghirardi, R. Grassi, F. Benatti,  Describing the Macroscopic World: Closing the Circle Within the Dynamical Reduction Program,
Found. of Phys. 25 (1995) 5

[19]
F. Benatti, H. Narnhofer, A. Uhlmann, Decompositions of Quantum States with Respect to Entropy,
Rep. Math. Phys. 38 (1996) 123

[20]
F. Benatti, T. Grava, The Entropy of a Subalgebra,
in: Contributions in Probability, Volume in Memory of A. Frigerio, C. Cecchini ed., Forum, Udine 1996, 57

[21]
F. Benatti, R. Floreanini, Complete Positivity and the K-K System,
Phys. Lett. B389  (1996) 100

[22]
F. Benatti, Entropy of a Subalgebra and Quantum Estimation,
J. Math. Phys. 37 (1996) 5244

[23]
F. Benatti, R. Floreanini,  Completely Positive Dynamical Maps and the Neutral Kaon System,
Nuc. Phys. B488 (1997) 335

[24]
F. Benatti, R. Floreanini, Experimental Limits on Complete Positivity from the K-K System,
Phys. Lett. B401  (1997) 337

[25]
F. Benatti, H. Narnhofer,  Strong Clustering in Entropic Type III K-systems,
Mh. Math.  124 (1997) 287

[26]
F. Benatti, R. Floreanini, Testing Complete Positivity,
Mod. Phys. Lett. A12 (1997) 1465

[27]
F. Benatti, T. Hudetz & A. Knauf, Quantum Chaos and Dynamical Entropy,
Commun. Math. Phys. 198 (1998) 607

[28]
F. Benatti, R. Floreanini, Completeley Positive Dynamics of Correlated Kaons,
Nucl. Phys. B 511 (1998) 550

[29]
F. Benatti, R. Floreanini, epsilon'/epsilon violates Bell's inequality,
Phys. Rev. D 57  (1998) 1332

[30]
F. Benatti, R. Floreanini, On the Decay Law for Unstable Open Systems,
Phys. Lett. B 428 (1998) 149

[31]
F. Benatti, M. Fannes, Statistics and Quantum Chaos,
J. Phys. A31  (1998)  9123

[32]
F. Benatti, H. Narnhofer, A. Uhlmann,  Optimal Decompositions with respect to Entropy and Symmetries,
Lett. Math. Phys. 47 (1999) 237

[33]
F. Benatti, R. Floreanini, Complete Positivity and the Neutral Kaon System,
Banach Center Publication  43 (1998) 71

[34]
F. Benatti, R. Floreanini, Non-standard Neutral Kaon Dynamics from Infinite Statistics,
Ann. Phys. 273  (1999)  58

[35]
J. Andries, F. Benatti, M. De Cock, M. Fannes,  Multi-time  Correlations in qQantized Toral Automorphisms,
Rep. Math. Phys. 44 (1999) 413

[36]
F. Benatti, R. Floreanini, Complete Positivity and Neutron Interferometry,
Phys. Lett. B 451 (1999) 422

[37]
F. Benatti, R. Floreanini, Dissipative effects in Semileptonic B-B Decays,
Phys. Lett. B 465 (1999) 261

[38]
F. Benatti, R. Floreanini,  Complete Positivity and Correlated Neutral Kaons,
Phys. Lett. B 468 (1999) 287

[39]
F. Benatti, R. Floreanini, Dissipative Contributions to epsilon'\ epsilon,
Mod. Phys. Lett. A14 (1999) 1519

[40]
F. Benatti, R. Floreanini, Direct CP-violation and Hidden Variable Theories,
Eur. Phys. J. C 13 (2000) 267

[41]
F. Benatti, R. Floreanini, Open System Approach to Neutrino Oscillations,
JHEP 02 (2000) 032

[42]
F. Benatti, R. Floreanini, Damped Harmonic Oscillators in the Holomorphic Representations,
J. Phys. A33  (2000) 8139

[43]
J. Andries, F. Benatti, M. De Cock, M. Fannes, Multi-time Correlations in Relaxing Quantum Systems,
Rev. Math. Phys. 12 (2000) 921

[44]
F. Benatti,  On Positivity and Complete Positivity of Open System Dynamics,
Cybernetics and Systems (2000) 195

[45]
F. Benatti, R. Floreanini, Effective Dissipative Dynamics for Polarized Photons,
Phys. Rev D62 (2000) 125009-1

[46]
F. Benatti, R. Floreanini, On the Weak-coupling Limit and Complete Positivity,
Chaos, Solitons and Fractals 12 (2001) 2631

[47]
F. Benatti, R. Floreanini, A. Lapel, Open Quantum Systems and Complete Positivity,
Cybernetics and Systems  32 (2001) 343

[48]
F.Benatti, H. Narnhofer, Additivity of the Entanglement of Formation,
Phys. Rev. A63 (2001) 042306-1

[49]
F. Benatti, R. Floreanini, R. Romano, Irreversibility and Dissipation in Neutral B-Meson Decays,
Nucl. Phys. B602 (2001) 541

[50]
F. Benatti, R. Floreanini, Massless Neutrino Oscillations,
Phys. Rev. D64 (2001) 085015-1

[51]
F. Benatti, R. Floreanini, Dissipation and Decoherence in Photon Interferometry,
J. Optics B4  (2002) S238

[52]
F. Benatti, R. Floreanini, R. Romano, Complete Positivity and Entangled Degrees of Freedom,
J. Phys. A35 (2002) 4955

[53]
F. Benatti, R. Floreanini, R. Romano, Complete positivity and Dissipative Factorized Dynamics,
J. Phys. A35 (2002) L551

[54]
F. Benatti, R. Floreanini, Planck's Scale Dissipative Effects in Atom Interferometry,
Phys. Rev. A66 (2002) 043617-1

[55]
F. Benatti, R. Floreanini, M. Piani, Non-positive Evolutions in Open System Dynamics,
Phys. Rev. A67 (2003) 042110-1

[56]
F. Benatti, H. Narnhofer, A. Uhlmann, Broken Symmetries in the Entanglement of Formation,
J. Math. Phys. 44 (2003) 2402

[57]
F. Benatti, R. Floreanini, M. Piani, Environment Induced Entanglement in Markovian Dissipative Dynamics,
Phys. Rev. Lett. 91 (2003) 070402

[58]
F. Benatti, L. Marinatto, On Deciding Whether a Boolean Function is Constant or not,
Int. J. of Quantum Information 1 (2003) 237

[59]
F. Benatti, R. Floreanini, R. Romano, Neutral Kaons in Random Media, Phys. Rev. D 68, (2003) 094007-1/11

[60]
F. Benatti, V. Cappellini, M. De Cock, M. Fannes, D. Van Peteghem, Classical Limit of Quantum Dynamical Entropies,
Rev. Math. Phys. 15 (2003) 1-29

[61]
F. Benatti, V. Cappellini, F. Zertuche, Quantum Dynamical Entropies in Discrete Classical Chaos,
J. Phys.
A 37 (2004) 105-130

[62]
F. Benatti, R. Floreanini, M. Piani, Quantum Dynamical Semigroups and Decomposable Positive Maps,
Phys. Lett. A  326 (2004) 187-198

[63]
F. Benatti, R. Floreanini, Entanglement Generation in Uniformly Accelerating Atoms: Reexamination of the Unruh Effect ,
Phys. Rev.  A 70  (2004)  012112

[64]
F. Benatti,  R. Floreanini,  M. Piani,  Non-decomposable Quantum Dynamical Semigroups and Bound Entangled States,
Open Sys. & Information Dyn. 11  (2004)  325-338

[65]
F. Benatti, R. Floreanini,  Dissipative Neutrino Oscillations in  Randomly Fluctuating Matter,
Phys. Rev. D 71  (2005)  013003

[66]
F. Benatti, V. Cappellini, Continuous Limit of Discrete Sawtooth Maps and its Algebraic Framework,
J. Math. Phys. 46  (2005)  062702
 
[67]
F. Benatti, R. Floreanini,  Open Quantum Dynamics: Complete Positivity and Entanglement,
Int. J. Mod. Phys. B 19 (2005) 3063

[68]
F. Benatti, R. Floreanini, Controlling Entanglement Generation in External Quantum Fields,
J. Opt. B.: Quantum and Semiclass. Optics  7 (2005)  S429-S434

[69]
F. Benatti, B. Hiesmayr, H. Narnhofer, Multi-distributed Entanglement in Finitely Correlated Chains,
Europhys. Lett. 72  (2005)  28-34

[70]
F. Benatti, R. Floreanini, Entangling Oscillators Through Environmental Noise,
J.Phys. A  39 (2006) 2689-2700

[71]
F. Benatti, B. Hiesmayr, H. Narnhofer, Entangled Finitely Correlated Quantum Spin Chains,
Laser Physics 16 (2006) 723-729

[72]
F. Benatti, A. Verjosky, F. Zertuche, Discrete Dynamical Systems Embedded in Cantor Sets,
 J. Math. Phys. 47, 022705 (2006)

[73]
F. Benatti, T. Krueger, M. Mueller, R. Siegmund-Schultze, A- Szkola,
Entropy and Quantum Kolmogorov Complexity: a Quantum Brudno's Theorem,

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

[74]
F. Benatti, R. Floreanini,
Tests of Complete Positivity in Fiber Optics,
Open Sys. & Inf. Dyn.13, 229-238  (2006)

[75]
F. Benatti, R. Floreanini,
Asymptotic Entanglement  of  Two Independent Systems in a Common Bath,
Int. J. Quant. Inf. 4, 395-404 (2006)

[76]
F. Benatti, S. Breteaux, R. Floreanini,
Slipped Nonpositive Reduced Dynamics and Entanglement,
Laser Physics  16, 1395-1405 (2006)

[77]
S. Anderloni, F. Benatti, R. Floreanini,
Redfield reduced dynamics and entanglement,
J. Phys. A  40,  1625-1632 (2007)

[78]
F. Benatti, T. Weber,
GRW model and Bell-like inequalities,
J. Phys. A  40 2959-2970 (2007)

[79]
F. Benatti,
Entropy and algorithmic complexity in quantum information theory
Natural Computing 6, 133-150 (2007)

[80]
F. Benatti, R. Floreanini
Non-positive semigroups in continuous variable models
Int. J. Quantum Inf. 5, 189-198 (2007)

[81]
F. Benatti, R. Floreanini, A. Liguori,
Extended reduction criterion and lattice states
J. Math. Phys. 48, 052103 (2007)

[82]
R. Alicki, F. Benatti and R. Floreanini, 
Charge Oscillations in Superconducting Nanodevices Coupled to External Environments 
Phys. Lett. A 372, 1968 (2008)
 
[83]
F. Benatti, R. Floreanini, J. Realpe-Gomez, 
Cooper Pair Boxes Weakly Coupled to External Environments  
J. Phys. A 41, 235304 (2008)
 
[84]
S. Anderloni, F. Benatti, R. Floreanini,
Noise induced current in a double-well trap 
Open Sys. and Information Dyn. 15 143 (2008)
 
[85]
F. Benatti, A. M. Liguori, A. Nagy, 
Environment induced bipartite entanglement
J. Math. Phys. 49, 042103 (2008)
 
[86]
F. Benatti, R. Floreanini, P. Rosini,
Polarization entanglement through noise
Int. J. Quant. Inf. 6, 589 (2008)
 
[87]
S. Anderloni, F. Benatti, R. Floreanini, G.G. Guerreschi,
Noise induced interference fringes in trapped ultracold bosonic gases
Phys. Rev. A 78, 052118 (2008)
 
[88]
F. Benatti, R. Floreanini, A. Trombettoni
Quantum measuring processes for trapped ultracold bosonic gases
J. Phys. A 42, 035306 (2009)
 
[89]
F. Benatti,
Quantum Algorithmic Complexities and Entropy,
Open Sys. & Inf. Dyn. 16, 1230 (2009)
 
[90]
F. Benatti, R. Floreanini
Ultracold Atoms and Quantum Measurement Processes
Advanced Science Letters 2, 506 (2009)
 
[91]
F. Benatti, R. Floreanini, G.G. Guerreschi
Quantum measures for density correlations in optical lattices
Phys. Lett. A 373, 3516 (2009)
 
[92]
F. Benatti, R. Floreanini, U. Marzolino,
Environment-Induced Entanglement in a Refined Weak-Coupling Limit
EPL 88, 20011 (2009)
 
[93]
F. Benatti, A.M. Liguori, G. Paluzzano,
Entanglement and entropy rate in open quantum systems
J. Phys. A 43, 045304 (2010)
 
[94]
F. Benatti, R. Floreanini, U. Marzolino,
Sub-shot Noise Quantum Metrology with Entangled Identical Particles 
Ann. Phys. 325,  924 (2010)
 
[95]
F. Benatti, R. Floreanini, U. Marzolino,
Entangling Two Unequal Atoms Through a Common Bath  
Phys. Rev. A   81 012105 (2010)                       
 
[96]
B. Baumgartner, F. Benatti, H. Narnhofer,
Translation  Invariant States on Twisted Algebras on a Lattice
J. Phys. A 43, 115301   (2010)   

 

[1]
F.Benatti, Entropic and Algebraic K-Systems: a Comparison,
in: Quantum Probability and Related Topics, L.Accardi ed., World Scientific,
Singapore, New Jersey, London, Hong Kong, 1991

[2]
F. Benatti, Dynamical Entropy in Quantum Theory,
in: Trends in Stat. Phys. 1 (1994) 32

[3]
F. Benatti, R. Floreanini, Tests of Complete Positivity in the Neutral Kaon System,
in: Phenomenology of Unification from Present to Future,
G. Diambrini-Palazzi, C. Cosmelli and L. Zanello eds., World Scientific,
Singapore 1998

[4]
F. Benatti, Complete Positivity and the Neutral Kaon system,
in: Quantum Theory in the Rigged Hilbert Space - Irreversibility and Causality,
XXI International Colloquium on Group Theoretical Methods in Physics, A.
Bohm, H.-D. Doebner and P. Kielanowski, eds., Springer-Verlag 1998.

[5]
F. Benatti and R. Floreanini, CPT, Dissipation, and All That,
in the Proceedings of Daphne99, Frascati, November 1999, hep-ph/9912426

[6]
F. Benatti, R. Floreanini, Complete Positivity in Open System Dynamics,
AIP Conference Proceedings  (2000)

[7]
F. Benatti, R. Floreanini, Dissipative Effects in the Propagation of Polarized Photons,
in: Quantum Electrodynamics and Physics of the Vacuum,
G. Cantatore ed., AIP Conference Proceedings 564,
Melville, New York 2001

[8]
F. Benatti, R. Floreanini, R. Romano, Complete Positivity in Dissipative Quantum Dynamics,
in: Dynamics of Dissipation,
P. Garbaczewski, R. Olkiewicz eds., Lec. Notes Phys. 597, Springer Verlag 2002

[9]
F. Benatti, Classical and Quantum entropies: Information and Dynamics,
in: Entropy,
A. Greven, G. Keller and G. Warnecke eds., Princeton University Press, Princeton 2003

[10]
F.Benatti, Quantum Dynamical Entropies and Quantum Algorithmic Complexities,
 in:  Proc. XIV International Congress on Mathematical Physics,
J-C. Zambrini ed, World Scientific 2006