Publications

  1. G. Jolicard, D. Viennot, J.P. Killingbeck & J.M. Zucconi, A new iterative eigenvalues method using the Bloch wave operator formalism with Padé approximants and absorbing boundaries , Phys. Rev. E 70, 046703 (2004).
  2. G. Jolicard, D. Viennot & J.P. Killingbeck, Constrained adiabatic trajectory method, J. Phys. Chem. A 109, 8580 (2004).
  3. D. Viennot, Transport adiabatique et phases de Berry : application au contrôle cohérent passif, J. Phys. IV France : proceedings 119, 289 (2004).
  4. D. Viennot, G. Jolicard, J.P. Killingbeck & M.Y. Perrin, Adiabatic theorem for the time-dependent wave operator, Phys. Rev. A 71, 052706 (2005).
  5. D. Viennot, Principal bundle structure of quantum adiabatic dynamics with a Berry phase which does not commute with the dynamical phase, J. Math. Phys. 46, 072102 (2005).
  6. D. Viennot, G. Jolicard & J.P. Killingbeck, Berry phase and time-dependent wave operators, J. Phys. A : Math. Gen. 39, 7065 (2006).
  7. D. Viennot, Magnetic monopoles in quantum adiabatic dynamics and the immersion property of the control manifold, J. Math. Phys. 47, 092105 (2006).
  8. D. Viennot, Geometry of quantum active subspaces and of effective Hamiltonians, J. Math. Phys. 48, 052102 (2007).
  9. G. Jolicard, J.P. Killingbeck, D. Viennot, J. Buldyreva & P. Joubert, Transitional and permanent regimes in the adiabatic Floquet approach to photodissociation processes, J. Phys. A : Math. Theor. 41, 095303 (2008).
  10. D. Viennot, G. Jolicard & J.P. Killingbeck, The topology of the adiabatic passage process for molecular photodissociative dynamics, J. Phys. A : Math. Theor. 41, 145303 (2008).
  11. D. Viennot & J.-M. Vigoureux, The cosmological constant and the coincidence problem in a new cosmological interpretation of the universal constant "c", International Journal of Theoretical Physics 48, 2246 (2009).
  12. D. Viennot, The need for a flat higher gauge structure to describe a Berry phase associated with some resonance phenomena, J. Math. Phys. 50, 052101 (2009).
  13. D. Viennot, Geometric phases in adiabatic Floquet theory, abelian gerbes and Cheon's anholonomy, J. Phys. A : Math. Theor. 42, 395302 (2009).
  14. D. Viennot, Holonomy of a principal composite bundle connection, non-abelian geometric phases and gauge theory of gravity, J. Math. Phys. 51, 103501 (2010).
  15. G. Dridi, S. Guérin, H.R. Jauslin, D. Viennot & G. Jolicard, Adiabatic approximation for quantum dissipative systems : formulation, topology and superadiabatic tracking, Phys. Rev. A 82, 022109 (2010).
  16. D. Viennot & J. Lages, A new kind of geometric phases in open quantum systems and higher gauge theory, J. Phys. A : Math. Theor. 44, 365301 (2011).
  17. A. Leclerc, G. Jolicard, D. Viennot & J.P. Killingbeck, Constrained adiabatic trajectory method: a global integrator for explicitly time-dependent Hamiltonians, J. Chem. Phys. 136, 014106 (2012).
  18. A. Leclerc, D. Viennot & G. Jolicard, The role of the geometric phases in adiabatic populations tracking for non-hermitian Hamiltonians, J. Phys. A : Math. Theor. 45, 415201 (2012).
  19. D. Viennot, A. Leclerc, G. Jolicard & J.P. Killingbeck, Consistency between adiabatic and nonadiabatic geometric phases for nonselfadjoint hamiltonians, J. Phys. A : Math. Theor. 45, 335301 (2012).
  20. D.Viennot & J. Lages, C*-geometric phase for mixed states: entanglement, decoherence and spin system, J. Phys. A: Math. Theor. 45, 365305 (2012).
  21. D. Viennot, Geometric phases in quantum control disturbed by classical stochastic processes, J. Math. Phys. 53, 082106 (2012).
  22. D.Viennot & L. Aubourg, Decoherence, relaxation and chaos in a kicked-spin ensemble (Schrödinger's cat kicked by Arnold's cat), Phys. Rev. E 87, 062903 (2013).
  23. D. Viennot, Almost quantum adiabatic dynamics and generalized time dependent wave operators, J. Phys. A: Math. Theor. 47, 065302 (2014).
  24. D. Viennot, Adiabatic quantum control hampered by entanglement, J. Phys. A: Math. Theor. 47, 295301 (2014).
  25. L. Aubourg & D. Viennot, Analyses of the transmission of the disorder from a disturbed environment to a spin chain, Quantum Information Processing 14, 1117 (2015).
  26. D. Viennot & L. Aubourg, Adiabatic theorem for bipartite quantum systems in weak coupling limit, J. Phys. A: Math. Theor. 48, 025301 (2015).
  27. D. Viennot & L. Aubourg, Quantum chimera states, Physics Letters A 380, 678 (2016) .
  28. L. Aubourg & D. Viennot, Information transmission and control in a chaotically kicked spin chain, J. Phys. B: At. Mol. Opt. Phys. 49, 115501 (2016).
  29. D. Viennot, Non-abelian higher gauge theory and categorical bundle, Journal of Geometry and Physics 110, 407 (2016).
  30. G. Jolicard, A. Leclerc, D. Viennot & J.P. Killingbeck, Global integration of the Schrödinger equation within the wave operator formalism: the role of the effective Hamiltonian un multidimensional active spaces, J. Phys. A: Math. Theor. 49, 195305 (2016).
  31. A. Leclerc, D. Viennot, G. Jolicard, R. Lefebvre & O. Atabek, Controlling vibrational cooling with zero-width resonances: an adiabatic Floquet approach, Phys. Rev. A 94, 043409 (2016).
  32. D. Viennot & O. Moro, Adiabatic transport of qubits around a black hole, Class. Quant. Gravity 34, 055005 (2017).
  33. A. Leclerc, D. Viennot, G. Jolicard, R. Lefebvre & O. Atabek, Exotic states in the strong field control of H2+ dissociation dynamics: from exceptional points to zero-width resonances, J. Phys. B: At. Mol. Opt. Phys. 50, 234002 (2017).
  34. D. Viennot, Purification of Lindblad dynamics, geometry of mixed states and geometric phases, J. Geom. Phys. 133, 42 (2018).
  35. D. Viennot & L. Aubourg, Schrödinger-Koopman quasienergy states of quantum systems driven by a classical flow, J. Phys. A : Math. Theor. 51, 335201 (2018).
  36. D. Viennot & L. Aubourg, Chaos, decoherence and emergent extradimensions in D-brane dynamics with fluctuations, Class. Quant. Gravity 35, 135007 (2018).
  37. D. Finkelstein-Shapiro, D. Viennot, I. Saideh, T. Hansen, T. Pullerits & A. Keller, Adiabatic elimination and sub-space evolution of open quantum systems, Phys. Rev. A 101, 042102 (2020).
  38. D. Viennot, Effective Hamiltonians for almost-periodically driven quantum systems, J. Phys. A: Math. Theor. 54, 414004 (2021)
  39. D. Viennot, Emergent gravity and D-brane adiabatic dynamics: emergent Lorentz connection, Class. Quant. Gravity 38, 245004 (2021)
  40. D. Viennot, Competition between decoherence and purification: quaternionic representation and quaternionic fractals, Chaos, Solitons and Fractals 161, 112346 (2022)
  41. D. Viennot, Fuzzy Schwarzschild (2+1)-spacetime, J. Math. Phys. 63, 082302 (2022)
  42. D. Viennot, Geometric phases, Everett's many-worlds interpretation of quantum mechanics, and wormholes, Quantum Studies: Math. Found. 11, 307 (2024)
  43. D. Viennot, Metrics and geodesics on fuzzy spaces, J. Phys. A: Math. Theor. 57, 425201 (2024)