Marco's publications

Publications
Marco Merkli

61. Ultrastrong coupling, nonselective measurement and quantum Zeno dynamics
           (with S. Marcantoni) Quantum 9, 1656 (2025)

60. Quantum systems coupled to environments via mean field interactions
           (with M. Fantechi) Annals of Physics 476, 169981 (2025)

59. On the difference between thermalization in open and isolated quantum systms: a case study
           (with A. Purkayastha, G. Guarnieri, J. Anders) submitted (2024)

58. Quasi-classical limit of a spin coupled to a reservoir
           (with M. Correggi, M. Falconi and M. Fantechi) Quantum 8, 1561 (2024)

57. Rigorous results on approach to thermal equilibrium, entanglement, and nonclassicality of an optical quantum field mode scattering from the elements of a non-equilibrium quantum reservoir
           (with S. DeBièvre and P.E. Parris) Quantum 8, 1360 (2024)

56. Stability of PPT in equilibrium states      PDF file
           (with M. Zagrodnik) Can. J. Phys. Vol. 101 No. 12: (2023)

55. The Adiabatic Wigner-Weisskopf Model
           (with A. Joye) Journal of Statistical Physics 190: 105, 40 pages (2023)
        Online access to published paper via Springer SharedIt

54. Dynamics of entropy in bipartite quasi-hermitian and associated hermitian quantum systems
           (with A.A. Abou Moise, G. Cox) Phys.Rev. A 108, 012223 (2023)
        Click to watch the video of the talk Journal article link

53. Open quantum system dynamics and the mean force Gibbs state
           (with A.S. Trushechkin, J.D. Cresser, J. Anders) AVS Quantum Sci. 4, 012301 (2022)

52. Correlation decay and Markovianity in open systems
           Ann. H. Poincaré (2022) Full text access

51. Dynamics of Open Quantum Systems II, Markovian Approximation         (Click here for article on journal webpage)
           Quantum 6, 616 (2022)

50. Dynamics of Open Quantum Systems I, Oscillation and Decay         (Click here for article on journal webpage)
           Quantum 6, 615 (2022)

49. Qubit dynamics with classical noise
           (with Q. Huang) Physics Open 5, 100043 (2020)

48. Two-Component Axionic Dark Matter Halos
           (with G.P. Berman, V.N. Gorshkov, V.I. Tsifrinovich, V.V. Tereshchuk) Mod. Phys. Lett. A 35, 2050227 (2020)

47. Adiabatic transitions in a two-level system coupled to a free boson reservoir
           (with A. Joye and D. Spehner) Ann. Henri Poincaré 21, 3157-3199 (2020)

46. Dark matter spin-spin interaction through the pseudo-scalar vacuum field
           (with A.I. Nesterov, G.P. Berman, V.I. Tsifrinovich, X. Wang) Mod. Phys. Lett. A 35, 2050117 (2020)

45. Quantum Electron Transport in Degenerate Donor-Acceptor Systems
           (with G.P. Berman, A. Saxena) Journal of Mathematical Physics 61, 072102 (2020)

44. Modeling of noise-assisted quantum transfer between donor and acceptor with finite bandwidths
           (with A.I. Nesterov, G.P. Berman, A. Saxena) J. Phys. A: Math. Theor. 52, 435601 (2019) Supplementary Material

43. Bose-Einstein condensate of ultra-light axions as a candidate for the dark matter galaxy halos
           (with G.P. Berman, V.N. Gorshkov, V.I. Tsifrinovich, X. Wang) Mod. Phys. Lett. A 34, 1950361 (7 pages) (2019)

42. Quantum Markovian master equations: Resonance theory shows validity for all time scales
           Ann. Phys. 412, 16799 (29pp) (2020)
           Reply to referee #1     Reply to referee #2

41. Mean field dynamics of some open quantum systems
           (with A. Rafiyi) Proc. R. Soc. Lond. Ser. A 474, Issue 2212 (2018)
         https://doi.org/10.1098/rspa.2017.0856

40. Production of Entanglement Entropy by Decoherence
           (with G.P. Berman, R.T. Sayre, X. Wang, A.I. Nersterov) Open Systems & Information Dynamics 25, No. 01, 1850001 (2018)
         https://www.worldscientific.com/doi/10.1142/S1230161218500014
   According to journal webpage: one of the four Most-Read Articles of 2018 in the journal

39. Completely positive dynamical semigroups and quantum resonance theory      Erratum
           (with M. Könenberg) Lett. Math. Phys. 107, Issue 7, 1215-1233 (2017)
         Online access to published paper via Springer SharedIt

38. On the irreversible dynamics emerging from quantum resonances
           (with M. Könenberg) J. Math. Phys. 57, 033302 (2016)

37. Representations of canonical commutation relations describing infinite coherent states
           (with A. Joye) Comm. Math. Phys. 347, Issue 2, 421-448 (2016)

36. Dynamics of a Chlorophyll Dimer in Collective and Local Thermal Environments
           (with G.P. Berman, R.T. Sayre, S. Gnanakaran, M. Könenberg, A.I. Nesterov, H. Song) J. Math. Chem. 54(4), 866-917 (2016)

35. Quantum Measurements of Scattered Particles
           (with M. Penney) Mathematics 3, Issue 1, 92-118 (2015)
           Open access: available at http://www.mdpi.com/2227-7390/3/1/92

34. Multiscale dynamics of open three-level quantum systems with two quasi-degenerate levels
           (with H. Song and G.P. Berman) J. Phys. A: Math. Theor. 48, 275304 (2015)

33. Ergodicity of the spin-boson model for arbitrary coupling strength
           (with M. Könenberg and H. Song) Commun. Math. Phys. 336, Issue 1, 261-285 (2014)

32. Overlapping Resonances in Open Quantum Systems
           (with H. Song) Ann. Henri Poincaré 16, Issue 6, 1397-1427 (2014)

31. Suppression of Decoherence by Periodic Forcing
           (with V. Bach, W. Pedra, I.M. Sigal) J. Stat. Phys. 155, Issue 6, 1271-1298 (2014)

30. Electron Transfer Reactions: Generalized Spin-Boson Approach
           (with G.P. Berman and R. Sayre) Journal of Mathematical Chemistry, 51, Issue 3, 890-913 (2013)

29. Superradiance Transition in Light-Harvesting Complexes
           (with G.L. Celardo, F. Borgonovi, V.I. Tsifrinovich, G.P. Berman) J. Phys. Chem. C, 116, 22105−22111 (2012)

28. Mean field evolution of open quantum systems. An exactly solvable model
           (with G.P. Berman) Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 468, no. 2147, 3398-3412 (2012)

27. Creation of Two-Particle Entanglement in Open Macroscopic Quantum Systems
           (with G.P. Berman, F. Borgonovi, V.I. Tsifrinovich) Adv. Math. Phys., Volume 2012, Article ID 375182, 15 pages

26. Entanglement Evolution via Quantum Resonances
          J. Math. Phys. 52, Issue 9, DOI: 10.1063/1.36376282011 (2011)
            Copyright (2011) American Institute of Physics. This article may be downloaded for personal use only.
            Any other use requires prior permission of the author and the American Institute of Physics.
            Article selected for the Virtual Journal of Nanoscale Science & Technology, Volume 24, Issue 13, September 2011
            Article selected for the Virtual Journal of Quantum Information, Volume 11, Issue 9, September 2011

25. Application of Resonance Perturbation Theory to Dynamics of Magnetization in Spin Systems Interacting with Local and Collective Bosonic Reservoirs
          (with G.P. Berman and A. Redondo) J. Phys. A: Math. Theor. 44, 305306-305330 (2011)

24. A Universality Property of Gaussian Analytic Functions
          (with S. Starr and A. Ledoan) J. Theor. Probab. DOI 10.1007/s10959-001-0356-5 (2011)

23. Dynamical Localization of Quantum Walks in Random Environments
          (with A. Joye) J. Stat. Phys. 140, no. 6, 1025-1053 (2010)

22. Evolution of Entanglement of Two Qubits Interacting through Local and Collective Environments
          (with G.P. Berman, F. Borgonovi and K. Gebresellasie) Quantum Information & Computation 11, no.5&6, 390-419 (2011)

21. Repeated and continuous interactions in open quantum systems
          (with L. Bruneau and A. Joye) Ann. Henri Poincaré 10, no. 7, 1251-1284 (2010)

20. A resonance theory for open quantum systems with time-dependent dynamics
          (with S. Starr) J. Stat. Phys. 134(5), 871-898 (2009)

19. Dynamics of Collective Decoherence and Thermalization
          (with G.P. Berman and I.M. Sigal) Annals of Physics 323, 3091-3112 (2008)
       Corrected typos

18. Random Repeated Interaction Quantum Systems
            (with L. Bruneau and A. Joye) Comm. Math. Phys. 284(2), 553-581 (2008)

17. Resonance Dynamics and Decoherence
          Analysis and Mathematical Physics, Trends in Mathematics, 405-422, Birkhäuser 2009

16. Infinite Products of Random Matrices and Repeated Interaction Dynamics.
            (with L. Bruneau and A. Joye) Ann. de l'Inst. H. Poincaré Probabilités et Statistiques 46, No. 2, 442-464 (2010)

15. Resonance Theory of Decoherence and Thermalization.
            (with I.M. Sigal and G.P. Berman) Annals of Physics 323, 373-412 (2008)

14. Decoherence and Thermalization.
            (with I.M. Sigal and G.P. Berman) Phys. Rev. Lett. 98, 130401 (2007)
            Article selected to be included in the Virtual Journal of Quantum Information, April 2007

13. The Unruh effect revisited.
(with S. De Bièvre) Class. Quantum Grav. 23, 6525-6541 (2006)
Article included in the journal's "Highlights 2006 and 2007"

12. Theory of Non-Equilibrium Stationary States as a Theory of Resonances.
(with M. Mück and I.M. Sigal) Ann. H. Poincaré 8, 1539-1593 (2007)
Article has received the AHP 2007 Distinguished Paper Award

11. Level shift operators for open quantum systems.
J. Math. Anal. Appl. 327, Issue 1, 376-399 (2007)

10. Asymptotics of repeated interaction quantum systems.
(with L. Bruneau and A. Joye) J. Funct. Anal. 239, 310-344 (2006)

9. Instability of Equilibrium States for Coupled Heat Reservoirs at Different Temperatures.
(with M. Mück and I.M. Sigal) J. Funct. Anal. 243, 87-120 (2007)

8. Stability of Equilibria with a Condensate.
Comm. Math. Phys. 257, 621-640 (2005)

7. Another Return of 'Return to Equilibrium'.
(with J. Fröhlich) Comm. Math. Phys. 251, 235-262 (2004)

6. Thermal Ionization.
(with J. Fröhlich) Math. Phys. Anal. Geom. 7, no. 3, 239-287 (2004)

5. Ionization of atoms in a thermal field.
(with J. Fröhlich and I.M. Sigal ) J. Stat. Phys. 116, nos. 1/4, 311-359 (2004)

4. Dissipative Transport: Thermal Contacts and Tunnelling Junctions.
(with J. Fröhlich and D. Ueltschi) Ann. Henri Poincaré 4, no.5, 897--945 (2004)

3. Statistical Mechanics of Thermodynamic Processes.    (ps file)
            (joint work with J. Fröhlich, S. Schwarz and D. Ueltschi) A garden of quanta, 345-363,
            World Sci. Publishing, River Edge, NJ, 2003

2. Positive Commutators in Non-Equilibrium Statistical Mechanics.
Comm. Math. Phys. 223, 327-362 (2001)

1. A Time-Dependent Theory of Quantum Resonances.
(joint work with I.M. Sigal) Comm. Math. Phys. 201, 549-576 (1999)

Refereed Review Articles, Conference- and Lecture Proceedings

9. Quasi-classical spin boson models
      (Joint work with M. Correggi, M. Falconi) submitted , (2022)

8. Effective evolution of open dimers
      Contemporary Mathematics 717, 323-338 (2018)

7. Random phase infinite coherent states: Construction and dynamics
      Contemporary Mathematics 717, 307-321 (2018)

6. The mathematics of quantum transfer processes in biological systems
      CMS research notes 50, No 5 (2018)

5. Repeated interactions in open quantum systems.
      (joint work with L. Bruneau and A. Joye) J. Math. Phys., 55, 075204, 67 pages (2014)

4. Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits.
      Special issue "Quantum Information and Entanglement", Adv. Math. Phys., Volume 2010 (2010), Article ID 169710, 20 pages doi:10.1155/2010/169710

3. Repeated Interaction Quantum Systems.
      International Congress of Mathematical Physics 2007, Rio de Janero, Brazil

2. Stability of Multi-phase Equilibria.
      Mathematical Physics of Quantum Mechanics, QMath9, Giens, France, in: Springer Lecture Notes in Physics, 690, 129-148 (2006)

1. The Ideal Quantum Gas.
      Summer school on open quantum systems 2006, Institut Fourier, Grenoble, France, in: Springer Lecture Notes in Mathematics, 1880, 183-233 (2006)