FULL LIST OF PUBLICATIONS

Textbooks:

B. Vacchini,
Open Quantum Systems
Foundations and Theory

in
Graduate Texts in Physics
(Springer, 2024)


Articles in refereed journals:

2026

F. Settimo, K. Luoma, D. Chruściński, B. Vacchini, A. Smirne and J. Piilo,
Stochastic unravelings for Heisenberg picture and trace-nonpreserving dynamics
Phys. Rev. A vol. 113, 042444 (2026)

L. Manara, A. Smirne and B. Vacchini,
Non-Markovianity in the Adapted Caldeira-Leggett Model
Int. J. Quantum Inf. vol. xx, 2640004 (2026)

F. Settimo and B. Vacchini,
Synchronization effects in a periodically driven two-level system
Phys. Rev. A vol. 113, 022213 (2026)

P. M. Follia, B. Vacchini and H.-P. Breuer,
Control of memory effects in a spin-boson system by periodic driving
Phys. Rev. A vol. 113, 022203 (2026)

F. Settimo, A. Smirne, K. Luoma, B. Vacchini, J. Piilo and D. Chruściński,
Divisibility of dynamical maps: Schrödinger versus Heisenberg picture
PRX Quantum vol. 7, 010340 (2026)

2025

A. Colla, B. Vacchini and A. Smirne,
Local energy assignment for two interacting quantum thermal reservoirs
New J. Phys. vol. 27, 124510 (2025)

F. Albarelli, B. Vacchini and A. Smirne,
Pseudomode treatment of strong-coupling quantum thermodynamics
Quantum Sci. Technol. vol. 10, 015041 (2025)

F. Settimo, K. Luoma, D. Chruściński, A. Smirne, B. Vacchini and J. Piilo,
Dynamics of open quantum systems with initial system-environment correlations via stochastic unravelings
Phys. Rev. A vol. 112, 042204 (2025)

2024

F. Settimo, K. Luoma, D. Chruściński, B. Vacchini, A. Smirne and J. Piilo,
Generalized-rate-operator quantum jumps via realization-dependent transformations
Phys. Rev. A vol. 109, 062201 (2024)

B. Vacchini,
Comparison of distances and entropic distinguishability quantifiers for the detection of memory effects
Int. J. Quantum Inform. vol. 22, 2450007 (2024)

2023

F. Albarelli, M. G. A. Paris, B. Vacchini and A. Smirne,
Invasiveness of nonequilibrium pure-dephasing quantum thermometry
Phys. Rev. A vol. 108, 062421 (2023)

2022

F. Settimo, H.-P. Breuer and B. Vacchini,
Entropic and trace distance based measures of non-Markovianity
Phys. Rev. A vol. 106, 042212 (2022)

A. Smirne, N. Megier and B. Vacchini,
On the use of total state decompositions for the study of reduced dynamics
Open Syst. Inf. Dyn. vol. 29, 2250008 (2022)

A. Smirne, N. Megier and B. Vacchini,
Holevo skew divergence for the characterization of information backflow
Phys. Rev. A vol. 106, 012205 (2022)

N. Megier, A. Smirne, S. Campbell and B. Vacchini,
Correlations, Information Backflow, and Objectivity in a Class of Pure Dephasing Models
Entropy vol. 24, 304 (2022)

A. Smirne, S. Cialdi, D. Cipriani, C. Carmeli, A. Toigo and B. Vacchini,
Experimentally determining the incompatibility of two qubit measurements
Quantum Sci. Technol. vol. 7, 025016 (2022)

2021

E. O'Connor, B. Vacchini and S. Campbell,
Stochastic Collisional Quantum Thermometry
Entropy vol. 23, 1634 (2021)

B. Cakmak, Özgur E. Mustecaploglu, M. Paternostro, B. Vacchini and S. Campbell,
Quantum Darwinism in a Composite System: Objectivity versus Classicality
Entropy vol. 23, 995 (2021)

N. Megier, A. Smirne and B. Vacchini,
Entropic bounds on information backflow
Phys. Rev. Lett. vol. 127, 030401 (2021)

N. Megier, M. Ponzi, A. Smirne and B. Vacchini,
Memory effects in quantum dynamics modelled by quantum renewal processes
Entropy vol. 23, 905 (2021)

A. Trevisan, A. Smirne, N. Megier and B. Vacchini,
Adapted projection operator technique for the treatment of initial correlations
Phys. Rev. A vol. 104, 052215 (2021)

S. Campbell and B. Vacchini,
Perspective: Collision models in open system dynamics: A versatile tool for deeper insights?
Europhys. Lett. vol. 133, 60001 (2021)

A. Smirne, N. Megier and B. Vacchini,
On the connection between microscopic description and memory effects in open quantum system dynamics
Quantum vol. 5, 439 (2021)

2020

N. Megier, A. Smirne and B. Vacchini,
Evolution equations for quantum semi-Markov dynamics
Entropy vol. 22, 796 (2020)

N. Megier, A. Smirne and B. Vacchini,
The interplay between local and non-local master equations: exact and approximated dynamics
New J. Phys. vol. 22, 083011 (2020)

B. Vacchini,
Quantum renewal processes,
Sci. Rep. vol. 10, 5592 (2020)

K. Hashimoto, B. Vacchini and C. Uchiyama,
Lower bounds for the mean dissipated heat in an open quantum system
Phys. Rev. A vol. 101, 052114 (2020)

2019

S. Campbell, M. Popovic, D. Tamascelli and B. Vacchini,
Precursors of non-Markovianity
New J. Phys. vol. 21, 053036 (2019)

S. Campbell, B. Cakmak, Özgur E. Mustecaploglu, M. Paternostro and B. Vacchini,
Collisional unfolding of quantum Darwinism
Phys. Rev. A vol. 99, 042103 (2019)

S. Cialdi, C. Benedetti, D. Tamascelli, S. Olivares, M. G. A. Paris and B. Vacchini,
Experimental investigation of the effect of classical noise on quantum non-Markovian dynamics
Phys. Rev. A vol. 100, 052104 (2019)

G. Amato, H.-P. Breuer and B. Vacchini,
Microscopic modelling of general time-dependent quantum Markov processes
Phys. Rev. A vol. 99, 030102 (R) (2019)

B. Cakmak, S. Campbell, Özgur E. Mustecaploglu, B. Vacchini and M. Paternostro,
Robust multipartite entanglement generation via a collision model
Phys. Rev. A vol. 99, 012319 (2019)

2018

M. Popovic, B. Vacchini and S. Campbell,
Entropy production and correlations in a controlled non-Markovian setting
Phys. Rev. A vol. 98, 012130 (2018)

S. Campbell, F. Ciccarello, G. M. Palma and B. Vacchini,
System-environment correlations and Markovian embedding of quantum non-Markovian dynamics
Phys. Rev. A vol. 98, 012142 (2018)

G. Amato, H.-P. Breuer and B. Vacchini,
Generalized trace distance approach to quantum non-Markovianity and detection of initial correlations
Phys. Rev. A vol. 98, 012120 (2018)

H.-P. Breuer, G. Amato and B. Vacchini,
Mixing-induced quantum non-Markovianity and information flow
New J. Phys. vol. 20, 043007 (2018)

2017

M. Rossi, C. Benedetti, D. Tamascelli, S. Cialdi, S. Olivares, B. Vacchini and M. Paris,
Non-Markovianity by undersampling in quantum optical simulators
Int. J. Quantum Inform. vol. 51, 1740009 (2017)

S. Lorenzo, F. Ciccarello, M. Palma and B. Vacchini,
Quantum Non-Markovian Piecewise Dynamics
from Collision Models
Open Syst. Inf. Dyn. vol. 24, 1740011 (2017)

S. Campbell, G. Guarnieri, M. Paternostro and B. Vacchini,
Nonequilibrium quantum bounds to Landauer�s principle: Tightness and effectiveness
Phys. Rev. A vol. 96, 042109 (2017)

G. Guarnieri, S. Campbell, J. Goold, S. Pigeon, B. Vacchini and
M. Paternostro,
Full counting statistics approach to the quantum non-equilibrium
Landauer bound
New J. Phys. vol. 19, 103038 (2017)


S.Cialdi, M. Rossi, C. Benedetti, B. Vacchini, D. Tamascelli, S. Olivares and M. Paris,
All-optical quantum simulator of qubit noisy channels
Appl. Phys. Lett. vol. 110, 081107 (2017)

2016

G. Guarnieri, J. Nokkala, R. Schmidt, S. Maniscalco and B. Vacchini,
Energy backflow in strongly coupled non-Markovian continuous-variable systems
Phys. Rev. A vol. 94, 062101 (2016)

B. Vacchini,
Generalized master equations leading to completely positive dynamics
Phys. Rev. Lett.
vol. 117, 230401 (2016)

B. Vacchini and G. Amato,
Reduced dynamical maps in the presence of initial correlations
Sci. Rep.
vol. 6, 37328 (2016)

B. Vacchini,
Quantum noise from reduced dynamics,
Fluct. Noise Lett. vol. 15, 1640003 (2016)

H.-P. Breuer, E.-M. Laine, J. Piilo and B. Vacchini,
Colloquium: Non-Markovian dynamics in open quantum systems,
Rev. Mod. Phys. vol. 88, 021002 (2016)

G. Guarnieri, C. Uchiyama and B. Vacchini,
Energy backflow and non-Markovian dynamics,
Phys. Rev. A vol. 93, 012118 (2016)

2015

S. Wißmann, H.-P. Breuer and B. Vacchini,
Generalized trace-distance measure connecting quantum and classical non-Markovianity,
Phys. Rev. A vol. 92, 042108 (2015)

A. Barchielli and B. Vacchini,
Quantum Langevin equations for optomechanical systems,
New J. Phys. vol. 17, 083004 (2015)

2014

A. Smirne, B. Vacchini and A. Bassi,
Dissipative extension of the Ghirardi-Rimini-Weber model,
Phys. Rev. A vol. 90, 062135 (2014)

S.Cialdi, A. Smirne, M. Paris, S. Olivares and B. Vacchini,
Two-step procedure to discriminate discordant from classical correlated or factorized states,
Phys. Rev. A vol. 90, 050301(R) (2014)

G. Guarnieri, A. Smirne and B. Vacchini,
Quantum regression theorem and non-Markovianity of quantum dynamics,
Phys. Rev. A vol. 90, 022110 (2014)

B. Vacchini,
General structure of quantum collisional models,
Int. J. Quantum Inform. vol. 12, 1461011 (2014)

2013

A. Smirne, S.Cialdi, G. Anelli, M. Paris and B. Vacchini,
Quantum probes to experimentally assess correlations in a composite system,
Phys. Rev. A vol. 88, 012108 (2013)

A. Smirne, L.Mazzola, M. Paternostro and B. Vacchini,
Interaction-induced correlations and non-Markovianity of quantum dynamics,
Phys. Rev. A vol. 87, 052129 (2013)

A. Smirne, A. Stabile, B. Vacchini,
Signatures of non-Markovianity in classical single-time probability distributions,
Phys. Scr. T vol. 153, 014057 (2013)

B. Vacchini,
Non-Markovian master equations from piecewise dynamics,
Phys. Rev. A vol. 87, 030101(R) (2013)

2012

A. Smirne, E.-M. Laine, H.-P. Breuer, J. Piilo, B. Vacchini,
Role of correlations in the thermalization of quantum systems,
New J. Phys. vol. 14, 113034 (2012)

B. Vacchini,
A classical appraisal of quantum definitions of non-Markovian dynamics,
J. Phys. B vol. 45, 154007 (2012)

Z.-X. Man, A. Smirne, Y.-J. Xia and B. Vacchini,
Quantum interference induced by initial system environment correlations,
Phys. Lett. A vol. 376, pp. 2477-2483 (2012)

S. Campbell, A. Smirne, L. Mazzola, B. Vacchini and M. Paternostro,
Critical assessment of two-qubit post-Markovian master equations
Phys. Rev. A vol. 85, 032120 (2012)

2011

A. Smirne, D. Brivio, S. Cialdi, B. Vacchini, M. G. A. Paris,
Experimental investigation of initial system-environment correlations via trace distance evolution,
Phys. Rev. A vol. 84, 032112 (2011)

B. Vacchini, A. Smirne, E.-M. Laine, J. Piilo, H.-P. Breuer
Markovianity and non-Markovianity in quantum and classical systems,
New J. Phys. vol. 13, 093004 (2011)

R. Martinazzo, B. Vacchini, K. H. Hughes and I. Burghardt,
Communication: Universal Markovian reduction of Brownian particle dynamics,
J. Chem. Phys. vol. 134, 011101 (2011)

2010

A. Smirne, H.-P. Breuer, J. Piilo and B. Vacchini,
Initial correlations in open system's dynamics: The Jaynes-Cummings model,
Phys. Rev. A vol. 82, 062114 (2010)

A. Smirne and B. Vacchini,
Quantum master equation for collisional dynamics of massive particles with internal degrees of freedom,
Phys. Rev. A vol. 82, 042111 (2010)

K. Hornberger and B. Vacchini,
Comment on "Quantum linear Boltzmann equation with finite intercollision time",
Phys. Rev. A vol. 82, 036101 (2010)

A. Smirne and B. Vacchini,
Nakajima-Zwanzig versus time-convolutionless master equation for the non-Markovian dynamics of a two-level system,
Phys. Rev. A vol. 82, 022110 (2010)

B. Vacchini and H.-P. Breuer,
Exact master equations for the non-Markovian decay of a qubit,
Phys. Rev. A vol. 81, 042103 (2010)

2009

B. Vacchini and K. Hornberger,
Quantum linear Boltzmann equation,
Phys. Rep. vol. 478, pp. 71-120 (2009)

H.-P. Breuer and B. Vacchini,
Structure of completely positive quantum master equations with memory kernel,
Phys. Rev. E vol. 79, 041147 (2009)

2008

H.-P. Breuer and B. Vacchini,
Quantum Semi-Markov Processes,
Phys. Rev. Lett. vol. 101, 140402 (2008)

B. Vacchini,
Non-Markovian dynamics for bipartite systems,
Phys. Rev. A vol. 78, 022112 (2008)

B. Vacchini and F. Petruccione,
Kinetic description of quantum Brownian motion,
Eur. Phys. J. Special Topics vol. 159, pp. 135-141 (2008)

K. Hornberger and B. Vacchini,
Monitoring derivation of the quantum linear Boltzmann equation,
Phys. Rev. A vol. 77, 022112 (2008)

2007

B. Vacchini and K. Hornberger,
Relaxation dynamics of a quantum Brownian particle in an ideal gas,
Eur. Phys. J. Special Topics vol. 151, pp. 59-72 (2007)

H.-P. Breuer and B. Vacchini,
Three-dimensional Monte Carlo simulations of the quantum linear Boltzmann equation,
Phys. Rev. E vol. 76, 036706 (2007)

L. Lanz, B. Vacchini and O. Melsheimer,
Quantum theory: the role of microsystems and macrosystems,
J. Phys. A: Math. Theor. vol. 40, pp. 3123-3140 (2007)

B. Vacchini,
On the precise connection between the GRW master-equation and master-equations for the description of decoherence,
J. Phys. A: Math. Theor. vol. 40, pp. 2463-2473 (2007)

2005

B. Vacchini,
Theory of decoherence due to scattering events and L�vy processes,
Phys. Rev. Lett. vol. 95, 230402 (2005)

F. Petruccione and B. Vacchini,
Quantum description of Einstein's Brownian motion,
Phys. Rev. E vol. 71, 046134 (2005)

A. Bassi, E. Ippoliti and B. Vacchini,
On the energy increase in space-collapse models,
J. Phys. A: Math. Gen. vol. 38, pp. 8017-8038 (2005)

B. Vacchini,
Master-equations for the study of decoherence,
Int. J. Theor. Phys. vol. 44, pp. 1011-1021 (2005)

2004

C. Carmeli, G. Cassinelli, E. DeVito, A. Toigo and B. Vacchini,
A complete characterization of phase space measurements,
J. Phys. A: Math. Gen. vol. 37, pp. 5057-5066 (2004)

B. Vacchini,
Quantum and classical features in the explanation of collisional decoherence,
J. Mod. Opt. vol. 51, pp. 1025-1029 (2004)

B. Vacchini,
Dissipative systems and objective description: quantum Brownian motion as an example,
Int. J. Theor. Phys. vol. 43, pp. 1515-1525 (2004)

B. Vacchini, A. Viale, M. Vicari and N. Zanghì,
Testing decoherence in interference experiments with macromolecules: the theoretical background,
J. Mod. Opt. vol. 51, pp. 1071-1072 (2004)

L. Lanz, B. Vacchini and O. Melsheimer
On consistency of quantum theory and macroscopic objectivity
Quant. Inf. Comput. vol. 4, pp. 513-525 (2004)

2002

B. Vacchini,
Quantum optical versus quantum Brownian motion master equation in terms of covariance and equilibrium properties,
J. Math. Phys. vol. 43, pp. 5446-5458 (2002)

B. Vacchini,
Non-Abelian linear Boltzmann equation and quantum correction to Kramers and Smoluchowski equation,
Phys. Rev. E vol. 66, 027107 (2002)

L. Lanz and B. Vacchini,
Subdynamics of relevant observables: a field theoretical approach,
Int. J. Mod. Phys. A vol. 17, pp. 435-463 (2002)

L. Lanz, O. Melsheimer and B. Vacchini,
Physics of a microsystem starting from non-equilibrium quantum statistical mechanics,
Rep. Math. Phys. vol. 49, pp. 279-293 (2002)

B. Vacchini,
Translation-covariant Markovian master equation for a test particle in a quantum fluid,
J. Math. Phys. vol. 42, pp. 4291-4312 (2001)

2001

B. Vacchini,
Test particle in a quantum gas,
Phys. Rev. E vol. 63, 066115 (2001)

B. Vacchini,
Brownian motion: the quantum perspective,
Z. Naturforsch. vol. 56a, pp. 230-233 (2001)

B. Vacchini,
Completely positive quantum dissipation,
Phys. Rev. Lett. vol. 84, pp. 1374-1377 (2000)

2000

L. Lanz, O. Melsheimer and B. Vacchini,
Description of isolated macroscopic systems inside quantum mechanics,
Rep. Math. Phys. vol. 46, pp. 191-202 (2000)

L. Lanz, O. Melsheimer and B. Vacchini,
Subdynamics as a mechanism for objective description,
J. Mod. Opt. vol. 47, pp. 2165-2180 (2000)

B. Vacchini,
Complete positivity and subdynamics in quantum field theory,
Int. J. Theor. Phys. vol. 39, pp. 927-937 (2000)

1998

L. Lanz and B. Vacchini,
Time scales in quantum mechanics by a scattering map,
Int. J. Theor. Phys. vol. 37, pp. 545-553 (1998)

1997

L. Lanz and B. Vacchini,
Incoherent dynamics in neutron-matter interaction,
Phys. Rev. A vol. 56, pp. 4826-4838 (1997)

L. Lanz and B. Vacchini,
Dynamical semigroup description of coherent and incoherent particle-matter interaction,
Int. J. Theor. Phys. vol. 36, pp. 67-88 (1997)

Contributions to refereed proceedings in collections:

cover
B. Vacchini,
Frontiers of open quantum system dynamics,
in Quantum Physics and Geometry
edited by E. Ballico et al.
Lecture Notes of the Unione Matematica Italiana, vol. 25 (2018)
cover
C. Benedetti & al.,
Quantum simulation of non-markovian
qubit dynamics by an all-optical setup,
in Toward a Science Campus in Milan
edited by P.F. Bortignon, G. Lodato, E. Meroni, M. Paris, L. Perini, and A. Vicini,
Springer, pp. 37-46 (2018)
cover

B. Vacchini,
Covariant mappings for the description of measurement, dissipation and decoherence in quantum mechanics,
in Theoretical Foundations of Quantum Information Processing and Communication
edited by E. Brüning, and F. Petruccione,
Lecture Notes in Physics, vol. 787, pp. 39-77 (2010)

cover

B. Vacchini,
Description of decoherence by means of translation-covariant master equations and L�vy processes,
QP-PQ: quantum probability and white noise analysis vol. 23, pp. 254-265 (2008)

B. Vacchini,
Decoherence due to scattering events and L�vy processes,
J. Phys.: Conf. Ser. vol. 67, 012040 (2007)

B. Vacchini,
A probabilistic view on decoherence theory,
AIP Conf. Proc. vol. 889, pp. 427-431 (2007)

A. Bassi, E. Ippoliti and B. Vacchini,
Dynamical reduction models and the energy conservation principle,
AIP Conf. Proc. vol. 884, pp. 8-21 (2006)

L. Lanz, F. Belgiorno, and B. Vacchini,
Macro-objectivation: a challenge in quantum field theory,
AIP Conf. Proc. vol. 884, pp. 244-246 (2006)

B. Vacchini,
Mathematical characterization and physical examples of translation-covariant Markovian master equations,
in Entanglement and decoherence: mathematics and physics of quantum information and computation,
edited by S. Albeverio, G. Dell'Antonio, and F. De Martini,
Oberwolfach Reports vol. 2, pp. 244-246 (2005)

L. Lanz, O. Melsheimer and B. Vacchini,
Decoherence versus the idealization of microsystems as correlation carriers between macrosystems,
in Quantum communication, computing, and measurement 3,
edited by P. Tombesi and O. Hirota, (Kluwer/Plenum, New York, 2001), pp. 87-95

L. Lanz, O. Melsheimer and B. Vacchini,
Subdynamics through time scales and scattering maps in quantum field theory,
in Quantum communication, computing, and measurement,
edited by O. Hirota, A. S. Holevo and C. M. Caves, (Plenum, New York, 1997), pp. 339-353

L. Lanz and B. Vacchini,
An objective background for quantum theory relying on thermodynamic concepts,
in The foundations of quantum mechanics -- historical analysis and open questions,
edited by C. Garola, A. Rossi and S. Sozzo, (World Scientific, Singapore, 2006), pp. 210-224

B. Vacchini,
Time scale and completely positive dynamical evolution,
in The foundations of quantum mechanics -- historical analysis and open questions,
edited by C. Garola and A. Rossi, (World Scientific, Singapore, 2000), pp. 407-418

Contributions to books:

B. Vacchini,
On consistency of quantum theory and macroscopic objectivity,
in Do Wave Functions Jump? - Perspectives of the Work of GianCarlo Ghirardi,
edited by V. Allori, A. Bassi, D. Dürr, N. Zanghì, (Springer, Berlin, 2021), pp. 349-358

L. Lanz, B. Vacchini and O. Melsheimer,
On consistency of quantum theory and macroscopic objectivity,
in Quantum information, statistics, probability - celebration of Holevo's 60th birthday,
edited by O. Hirota, (Rinton Press, New York, 2004), pp. 115-129


Book reviews:

cover

B. Vacchini,
Book review: The Theory of Open Quantum Systems.
By H.-P. Breuer and F. Petruccione (Oxford University Press, New York, 2002),
Found. Phys. vol. 34, pp. 183-186 (2004)

Edited books:

cover

B. Vacchini, A. Smirne and N. Megier (Eds.),
Quantum Information Concepts in Open Quantum Systems
reprint of the Special Issue
(Entropy, MDPI, 2023)

cover

B. Vacchini, H.-P. Breuer and A. Bassi (Eds.),
Advances in Open Systems and Fundamental Tests of Quantum Mechanics
Proceedings of the 684. WE-Heraeus-Seminar, Bad Honnef, Germany, 2-5 December 2018
(Springer, Berlin, 2019)

Lecture notes:

B. Vacchini,
Advanced quantum mechanics,
Lecture notes for the course on Open Quantum Systems
(ever updating)

L. Lanz and B. Vacchini,
Introduzione alla Fisica Teorica vol. II,
(Cusl, Milano, 2003), pp. 1-215

Theses:

B. Vacchini,
Irreversible dynamics in quantum mechanics by the introduction of a time scale,
Tesi di Dottorato, Universit� degli Studi di Milano (1998)
(PhD Thesis)

B. Vacchini,
Interferometria di neutroni e fondamenti di meccanica quantistica,
Tesi di Laurea, Universit� degli Studi di Milano (1994)
(Master Thesis)


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