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G. Benenti, S. Siccardi and G. Strini, "Entanglement in helium", preprint arXiv:1204.6667v1 (quant-ph).

A. D'Arrigo, R Lo Franco, G. Benenti, E. Paladino and G. Falci, "Recovering entaglement by local operations, preprint arXiv: 1207.3294v1 (quant-ph).

G. Benenti, S. Siccardi and G. Strini, "Non-perturbative interpretation of the Bloch vector's path beyond rotating wave approximation, preprint arXiv:1305.1336 in helium" (quant-ph). 

M. Sala, A. Turchi and R. Artuso, "Oseledets’ splitting in large Hamiltonian systems: the HMF phase transition", submitted (2012).


R. Artuso, Cesar Mancheim, coment on "Lyapunov statistics and mixing rates for intemitten systems" Phys.  Rev. E87, 016901 (2013). 

G. Benenti, G. Casati and W. Jiao, "Conservation laws and thermodynamic efficiencies", Phys. Rev. Lett. 110, 070604 (2013) (marked as an Editor's suggestion).

V. Balachandran, G. Benenti and G. Casati, "Efficiency of three-terminal thermoelectric transport under broken time-reversal symmetry", Phys. Rev. B 87, 165419 (2013).

G. Benenti, S. Siccardi and G. Strini, Entanglement in Helium, Eur. Phys. J. D67, 83 (2013).


Matteo Sala, Cesar Mancheim and Roberto Artuso,"Estimating Hyperbolicity of Chaotic Bidimensional Maps", Intenational Journal of Biforcation and Chaos 22, 1250217 (2012).

M. Horvat, T. Prosen, G. Benenti, Giulio Casati, "Railway switch transport Model", Phys. Rev. E 86, 052102 (2012).

S. Siccardi, R. Pizzi and G. Benenti, "Entanglement computation in atoms and molecules", International Journal of Computer Applications 60, 43 (2012). 

Giulio Casati and Tomaz Prosen, "Time irreversible billiards with piecewise-straight trajectories" Phys. Rev. Lett. 109. 174101 (2012)

J. Wang, Emmanuel Pereira and Giulio Casati, "Thermal rectification in graded materials", Phys. Rev. E 86, 010101 (R) (2012)

W. Wang, P. Qin, Q. Wang, G. Benenti and. G. Casati, Scaling behavior in quantum phase transitions", Phys. Rev. E 86, 021124 (2012)

A. D'Arrigo, G. Benenti, and G. Falci, "Transmission of classical and quantum information through a quantun memory channel with damping", Eur. Phys. J. D. 66, 147 (2012)

G. Casati, I. Guarneri and J. Reslen, "Classical Dynamics of Quantum Entanglement", Phys Rev. E. 85, 036208 (2012)

Jiao Wang, Emmauel Pereira and G. Casati, "Thermal rectification in gaded materials" Phys. Rev. E. 86, 010101 (2012)  

G. Benenti, G.G. Carlo ad T. Prosen, "Wigner separatibility entropy and complexity of quantum dynamics", Phys, Rev. E 85, 051129 (2012)

V. Balachandran, R. Bosisio. G. Benenti, "Validity of Wiedmann Franz law in small molecular wires", Phys Rev. B 86, 035433 (2012)  


M. Hovart, T. Prosen and G. Casati, "Nanocoolers", J. Stat. Mech. P10026 (2011)

Jiao Wang, I. Guarneri, G. Casati and Jianbing Gong, "Long lasting Exponential Spreading in Periodically Driven Quantum Systems", Phys Rev. Lett. 107, 234104 (2011)

K. Saito, G. Benenti, G Casati and T. Prosen, "Thermopower with broken time-reversal symmetry", Phys. Lett. 106, 230602 (2011)

G. Benenti, K. Saito and G. Casati, Thermodynamic bounds on efficiency for systems with broken time-reversal symmetry, Phys. Rev. B 84, 201306 (2011)

  S. Lepri, G. Casati, "Asymmetric wave propagation in non linear systems", Phys.Rev. Lett. 106, 164101  Physical Review Focus: "One-way light" 

I. Guarneri: Irreversible behaviour and collapse of wave packets in a quantum system with point interactions. (IOP science)

R. Artuso, Kicked Harper Model, Scholarpedia (2011) 6(10):10462 

L. Rebuzzini and R. Artuso, "Higher order statistics in the annulus square billiard: transport and polyspectra", J. Physics A: Math. Theor.44, 025101

G. Benenti and G. Strini, "Quantum operations: A Fano-representation approach, Proceedings of the workshop Advances in foudations of quantum mechanics and quantum information with atoms and photons, Turin ITALY, 23-29 May 2010, International Journal of Quantum Information 9, 73 (2011).   

A. D' Arrigo, G. Benenti and G. Falci, "Hamiltonian models of quantum memory channels, Proceedings of the Workshop Advances in foundations of quantum mechanics and quantum information with atoms and photons, Turin Italy, 23-29 May 2010, International Journal of Quantum information 9, 625 (2011). 

G. Benenti, and G. Casati, "Increasing thermoelectric efficiency: dynamical models unveil microscopic mechanisms", Phil. Trans. R. Soc. A 369, 466 (2011), contribution to the theme issue Nonlinear dynamics in meso and nanoscales: fundamental aspects and applications, XI Latin American Workshop on Nonlinear Phenomena, Rio de janeiro, 5-9 October, 2009.


G. Mantica, "Dynamical Systems and Numerical Analysis: The Study of Measures generated by uncountable I.F.S., Numerical Algorithms" (Published on line June 2010) Springer -Science/ Vol. 5, Issue 2-3 Nov. 2010 Springer Verlag New York.

G. Mantica, S. Vaienti, "On the statistical distribution of first return times of balls and cylinders in chaotic systems, International Journal of Bifurcations and Chaos, Vol. 20, n. 06 (June 2010),1845 

G. Benenti and G. Strini, "Computing the distance between quantum channels: usefulness of the Fano representation", J. Phys. B: At. Mol. Opt. Phys. 43, 215508 (2010).

 K. Saito, G. Benenti and G. Casati, "A microscopic mechanism for increasing thermoelectric efficiency", Chem. Phys. 375, 508 (2010).

G. Benenti and G. Strini, "Computing the distance between quantum channels": Usefulness of the Fano representation, J. Phys. B: At Mol. Opt. Phys 43, 215508 (2010).

V. Balachandran, G. Benenti, G. Casati and J. Gong, "Phase-space characterization of complexity in quantum many-body dynamics", Phys. Rev. E 82 046216 (2010).

 Italo Guarneri, " Spectral properties of quantum diffusion, Scholarpedia 5(11):10463, doi:   10.4249/scholarpedia. 10463, revision#82896 (link to/cite this article) 2010.     

G. Barreto Lemos and G. Benenti, "Role of chaos in quantum communication through a dynamical dephasing channel", Phys. Rev. A 81, 062331 (2010

G. Mantica, "The Global Statistics of Return Time Dimensions Versus Generalized Measure Dimensions", Journal of Statistical Physics Volume 138, Issue 4-5 (2010).

G. Benenti, G. Casati, S. Denisov, S. Flach, P. Hanggi, B. Li and D. Poletti, "Comment on Coherent Ratchets in Driven Bose-Einstein Condensates'', Phys. Rev. Lett. 104, 228901 (2010).

M. Znidaric, T. Prosen, G. Benenti, G. Casati and D. Rossini, "Thermalization and ergodicity in one-dimensional many-body open quantum systems", Phys. Rev. E 81, 051135 (2010). 

G. Benenti and G. Strini, Quantum mechanics in phase space: "First order comparison between the Wigner and the Fermi function", Eur. Phys. J. D 57, 117 (2010)

N. Ananikian, L. Ananikyan, R. Artuso and H. Lazaryan, Magnetization and Lyapunov exponents on a kagome chain with multi-site exchange interaction, Phys.Lett. A374, 4084 (2010).

N.S. Ananikian, L.N. Ananikian, R. Artuso and V.V. Hovhannisyan "One dimensional mapping, modulatad and Lyapunov exponent for the antiferromagnetic Q-state Potts and multi site exchange interaction Ising models" Physica D239, 1723 (2010). 


I.Guarneri, "On the Spectrum of the Resonant Quantum Kicked Rotor", Annales Henri Poincare' 10 (2009) 1097-1110.

Laura Rebuzzini, Italo Guarneri, and Roberto Artuso,"Spinor dynamics of quantum accelerator modes near higher-order resonances", Phys. Rev. A 79, 033614 (2009).

Jiao Wang, Giulio Casati, Tomaz Prosen, and C.-H. Lai: "A one dimensional hard-point gas as a thermoelectric engine", Phys rev. E  80, 031136 (2009). 

G. Benenti and G. Strini, "Simple representation of quantum process tomography", Phys. Rev. A 80, 022318 (2009).

G. Benenti, A. D'Arrigo and G. Falci, "Enhancement of transmission rates in quantum memory channels with damping", Phys. Rev. Lett. 103, 020502 (2009).

M. Horvat, T Prosen, and G. Casati: " An exactly sovable model of a highly efficient thermoelectric engine". Phys Rev. E, 80, 010102 (R) (2009).

M. Abb, I. Guarneri, S. Wimberger "Pseudoclassical theory for fidelity of nearly resonant quantum rotors", Phys. Rev. E80 (2009) 035206(R).

G. Benenti, G. Casati, T. Prosen, D. Rossini and M. Znidaric, "Charge and spin transport in strongly correleted ID quantum systems driven far from equilibium". Phys. Rev. B 80, 035110 (2009).

G. Casati, Lei Wang, and T. Prosen: "A One-Dimensional Hard-point gas and the  thermoelctric efficiency" J. Stat. Mech. (2009) L03004..

R.Artuso and C. Manchein, Instability statistics and mixing rates, Phys.Rev. E80, 036210 (2009).

L. Rebuzzini, I. Guarneri and R. Artuso, "Spinor Dynamics of Quantum Accelerator Modes Near Higher-Order Resonances", Phys. Rev. A 79, 033614 (2009).

G. Benenti and G. Strini, "Optimal Purification of a generic- n-qudit state", Phys Rev. A 79, 052301 (2009).

G. Benenti and G. Strini, "Gaussian wave packetsin phase space:The Fermi g_F fuction", Am. J. Phys. 77, 546 (2009).

D. Poletti, G. Benenti, G. Casati, P. Hanggi and B. Li, "Steering Bose-Einstein condensates despite time simmetry", Phys. Rev. Lett. 103, 130604 (2009). 

G. Benenti, G. Casati, T. Prosen and D. Rossini, "Negative differential conductivity in far-from-equilibrium quantum spin chains", Europhys.Lett. 85, 37001 (2009). 

G. Gennaro, G. Benenti and G.M. Palma, "Relaxation due to random collisions with a many qudit environment", Phys. Rev. A 79, 022105 (2009).

G. Benenti and G. Casati, "How complex is quantum motion?", Phys. Rev. E 79, 02520 (R) (2009).

G. Benenti, "Entanglement, randomness and chaos", Riv. Nuovo Cimento 32, 105 (2009).


G. Casati and T. Prosen: "Quantum Chaos" Encyclopedia of Complexity and Systems Science, Springer (2008).

V. V. Sokolov, O,V. Zhirov, G. Benenti and G. casati: "Reversibility versus Complexity of the Wigner function for Classically Chaotic Quantum Motion" Phys. Rev. E 78, 046212 (2008).

G. Casati: "Il Caos Quantistico" Il Nuovo Saggiatore (2008). 

G. Casati, C. Mejia Monasterio and T. Prosen: Increasing thermoelectric efficiency towards the carnot limit" Phys. Rev. Lett. 101, 016601 (2008).

Yonghong Yan, Chang-qin Wu, G. Casati, T. Prosen and Baowen Li: "Heat conduction in a random-exchange Ising chain studied using the quantum master equation" Phys. Rev. B 77, 172411 (2008). 

Wen-ge Wang, Jiangbing Gong, G. Casati and Baowen Li, "Entaglement-induced Decoherence and Energy Eingenstates" Phys. Rev. A 77. 012108, (2008).

Italo Guarneri and Laura Rebuzzini, "Quantum Accelerator Modes near Higher-Order Resonances", Phys. Rev. Lett. 100, 2341103, (2008).

G.Mantica, "Quantum Dynamical Entropy and an Algorithm by Gene Golub" ETNA 28 (2008) 190--205.

P.Cvitanovic’, R. Artuso, R. Mainieri, G. Tanner and G. Vattay, "Chaos: Classical and Quantum", ChaosBook.org (Niels Bohr Institute, Copenhagen 2008).

 R. Artuso, L. Cavallasca and G. Cristadoro, "Transport in deterministic ratchets: periodic orbit analysis of a toy model", in C. Chandre and X Leoncini (Eds.), (\sf Chaos, Complexity and Transport: Theory and Applications) World Scientiìfic, Singapore, 2008.

R. Artuso and G. Cristadoro, " Deterministic (anoamalous) Transport", in R. Klages, G. Radons, I. M. Sokolov (Eds.), Anomalous transport: Foundations and Applications, Wiley-VCH, Berlin, 2008.

R. Artuso, L. Cavallasca and G. Cristadoro, "Dynamical and transport properties in a family of intermittent area-preserving maps", Phys. rev. E77, 046206 (2008).

N. Ananikian, L. Ananikian, R. Artuso, K. sargsyan, "The partition function zeros for a Potts model of helix-coil transition with three-site interactions", Physica A 387 (2008) 5433.

V.V. Sokolov, O.V. Zhirov, G. Benenti and G. Casati, Complexity of quantum states and reversibility of quantum motion", Phys. Rev. E 78, 046212 (2008).

G. Benenti and G. Strini, "Quantum simulation of the single-particle Schrodinger equation", Am. J. Phys. 76, 657 (2008).

G. Gennaro, G. Benenti and G. M. Palma, "Entanglement dynamics and relaxation in a few qubit system interacting with random collisions, Europhys. Lett. 82, 20006 (2008). R. Rossini and G. Benenti, "A robust and efficient generator of almost maximal multipartite entanglement", Phys. Rev. Lett. 100, 060501 (2008). 


N. Ananikian, L. Ananikian and R. Artuso, "Multi-dimensional mapping and folding properties for non-classical helix-stabiling interection of protein, Phys. Lett. A 360 (2007).

L. Wang, G. Benenti, G. Casati and B. Li, "The ratchet effect and the transporting islands in the chaotic sea", Phys. Rev. Lett. 99, 244101 (2007).

M. Znidaric, T. Prosen, G. Benenti and G. Casati, "Detecting entanglement of random states with an entanglement witness", J. Phys. A. 40. 13787 (2007).

L. Cavallasca, R. Artuso and G. Casati, "Directed deterministic classical transport: symmetry breaking and beyond", Phys.Rev.E 75, 066213, (2007) link

A. D'Arrigo, G. Benenti and G. Falci, "Quantum capacity of dephasing channels with memory", New J. Phys. 9, 310 (2007).

D. Poletti, G. Benenti, G. Casati and B. Li, Interection-induced quantum ratchet in a Bose Einstein condensate", Phys. Rev. A 76, 023421 (2007).

L. Rebuzzini, R. Artuso, S. Fishman and I. Guarneri, "Effects of atomic interactions on Quantum Accelerator Modes", Phys.Rev. A 76, 031603 (2007).

L. Cavallasca, R. Artuso and G. Casati, "Directed deterministic classical transport: symmetry breaking and beyond", Phys.Rev. E 75, 066213 (2007).

G. Benenti, G. Casati and G. Strini, "Principles of quantum computation and information", Volume II: Basic tools and special topics (World Scientific, Singapore, (2007).

D. Poletti, G. Benenti, G. Casati and B. Li,"Interaction-induced quantum ratchet in a Bose-Einstein condensate", Phys. Rev. A 76, 023421 (2007).

V.V. Sokolov, G. Benenti and G. Casati, Quantum dephasing and decay of classical correlation functions in chaotic systems, Phys. Rev. E 75, 026213 (2007).

G. Benenti and G.M. Palma, Reversible and irreversible dynamics of a qubit interacting with a small environment, Phys. Rev. A 75, 052110 (2007).

G. Benenti and G. Strini, A bird's eye view of quantum computers, Quantum Biosystems 1, 21 (2007).

G.Casati: "The heat is on and off". Nature nanotechnology 2 23(2007).

Wen-ge Wang, G.Casati, and Baowen Li: "Stability of quantum motion in regular systems: a uniform semiclassical approach". Phys. Rev. E 75 016201(2007).

Giulio Casati, C. Mejia-Monasterio and T. Prosen, " Magnetically Induced Thermal Rectification " Phys. Rev. Lett. 98,104302 (2007).

G. Mantica, S. Vaienti, "The asymptotic behaviour of the Fourier transform of orthogonal polynomials I: Mellin transform techniques", Ann. Henri Poincare 8 (2007).

G. Mantica, D. Guzzetti, "The asymptotic behaviour of the Fourier transform of orthogonal polynomials II: Iterated Function Systems and Quantum Mechanics", Ann. Henri Poincare 8 (2007). R.Hihinashvili, T.Oliker, Y.S. Avizrats, A. Jomin, S.Fishman, I.Guarneri, "Regimes of Stability of Accelerator Modes", Physica D 226 (2007).


R Artuso, L Cavallasca and G Cristadoro, "Recycling Parrondo games", J. Phys. A 39, 1285 (2006)

G. Casati, D.L. Shepelyansky, P. Zoller and G. Benenti (Eds.), "Quantum computers, algorithms and chaos", Proceedings of the ``E. Fermi'' Varenna School, Course CLXII, Varenna, Italy, 5-15 July 2005 (IOS Press and SIF, Bologna, 2006).

G. Benenti and G. Casati, "Quantum chaos, decoherence and quantum computation", in Proceedings of the ``E. Fermi'' Varenna School on "Quantum computers, algorithms and chaos", Varenna, Italy, 5-15 July 2005, edited by G. Casati, D.L. Shepelyansky, P. Zoller and G. Benenti (IOS Press and SIF, Bologna, 2006).

G. Benenti, S. Felloni and G. Strini, Effects of single-qubit quantum noise on entanglement purification , Eur. Phys. J. D 38, 389 (2006).

G.G. Carlo, G. Benenti, G. Casati, S. Wimberger, O. Morsch, R. Mannella and E. Arimondo, Chaotic ratchet dynamics with cold atoms in a pair of pulsed optical lattices, Phys. Rev. A 74, 033617 (2006).

D. Rossini, G. Benenti and G. Casati, Conservative chaotic map as a model of quantum many-body environment, Phys. Rev. E 74, 036209 (2006).

Baowen Li, Lei Wang, and Giulio Casati: "Negative differential thermal resistance and thermal transistor". Appl. Phys. Lett. 88 143501 (2006).

G.Casati, T. Prosen, Lei Wang and Baowen Li: "Nonequilibrium properties of the one-dimensional hard-point gas system". Phys. Rev. E 75 037201(2006).

G. Mantica, "Fourier-Bessel functions of singular continuous measures and their many asymptotics", ETNA 25 (2006).

A.Buchleitner, M.B.d'Arcy, S.Fishman, S.A.Gardiner, I.Guarneri, Z.Y.Ma, L.Rebuzzini and G.S.Summy, "Quantum Accelerator Modes from the Farey Tree", Phys. Rev. Lett. 96 (2006).

I.Guarneri, L.Rebuzzini and S.Fishman, "Arnol'd Tongues and quantum accelerator Modes", Nonlinearity 19 (2006). M.Sheinman, S.Fishman, I.Guarneri, L.Rebuzzini, "Decay of Quantum Accelerator Modes", Phys. Rev. A 73 (2006).


L. Rebuzzini, S. Wimberger and R. Artuso, "Delocalized and resonant quantum transport in nonlinear generalizations of the kicked rotor model", Phys.Rev. E 71, 036220 (2005).

R. Artuso and G. Cristadoro, "Anomalous deterministic transport" Chaos 15, 015116 (2005).

S. Montangero, A. Romito, G. Benenti and R. Fazio, "Chaotic dynamics in superconducting nanocircuits", Europhys. Lett. 71, 893 (2005).

G.G. Carlo, G. Benenti, G. Casati and D.L. Shepelyansky, "Quantum ratchets in dissipative chaotic systems", Phys. Rev. Lett. 94, 164101 (2005).

G. Benenti and G. Casati, Quantum computers: Where do we stand?, Europhysics News 36/1, 16 (2005).

C. Mejia-Monasterio, G. Benenti, G. Casati and G.G. Carlo, "Entanglement across a transition to quantum chaos", Phys. Rev. A 71, 062324 (2005).

J.W. Lee, D.V. Averin, G. Benenti and D.L. Shepelyansky, "Model of a deterministic detector and dynamical decoherence", Phys. Rev. A 72, 012310 (2005).

G.G. Carlo, G. Benenti and D.L. Shepelyansky, "Dissipative quantum chaos: transition from wave packet collapse to explosion", Phys. Rev. Lett. 95, 164101 (2005).

G. Casati, T. Prosen, J. Lan and B. Li, "Universal decay of classical Loschmidt echo of neutrally stable but mixing dynamics", Phys. Rev. Lett. 94,114101 (2005).

Wen-ge Wang, G.Casati, Baowen Li and T. Prosen: "Uniform semiclassical approach to fidelity decay". Phys. Rev E.71 037202 (2005).

Giulio Casati and Tomaz Prozen:"Quantum chaos and the double slit experiment" Phys Rev. A. 72 032111(2005).

C. Mejia-Monasterio, T. Prosen and G. Casati, "Fourier's Law in a Quantum Spin Chain and the Onset of Quantum Chaos" Europhysics letters 72 520 (2005).  


G. Benenti and G. Casati and G. Strini, "PRICIPLES OF QUANTUM COMPUTATION AND INFORMATION, volume I: Basics Concepts (World Scientific, Singapore, 2004).