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Contrôle adiabatique des systèmes photodissociatifsAdiabatic control of photodissociative systemsÉtude des régimes de photodissociation de molécules diatomiques; contrôle et refroidissement vibrationnels de molécules diatomiques par champs laser; approche de Schrödinger-Floquet de l'interaction matière-rayonnement.Study of the photodissociative regimes of diatomic molecules; vibrational control and cooling of diatomic molecules with laser fields; Schrödinger-Floquet approach of light-matter interaction. |
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Opérateurs d'onde, Hamiltoniens effectifs et potentiels optiquesWave operators, effective Hamiltonians and optical potentialsRésolution des équations de Schrödinger stationnaires et temporelles par la méthode des opérateurs d'onde, Hamiltoniens effectifs et espaces actifs pour des représentations L2-finies de systèmes de grandes dimensions; potentiels optiques (frontières absorbantes) pour imposer des conditions initiales aux états de quasi-énergie de Floquet; équations aux valeurs propres non-linéaires.Solving stationary and time-dependent Schrödinger equations by using the wave operator method; effective Hamiltonians and active spaces to L2-finite representations of large dimensional systems; optical potential (absorbing boundaries) to force initial conditions to Floquet quasi-energy states; nonlinear eigenvalue equations. |
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Approximations adiabatiques pour Hamiltoniens non-auto-adjointsAdiabatic approximations for non-selfadjoint HamiltoniansSuivi adiabatique des populations d'états, rôles des résonances et des continua dans le transport adiabatique, régimes presque adiabatiques, limite adiabatique des opérateurs d'onde.Adiabatic tracking of state populations, resonances and continua in adiabatic transport, almost adiabatic regimes, adiabatic limit of wave operators. |
- 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).
- G. Jolicard, D. Viennot & J.P. Killingbeck, Constrained adiabatic trajectory method, J. Phys. Chem. A 109, 8580 (2004).
- D. Viennot, G. Jolicard, J.P. Killingbeck & M.Y. Perrin, Adiabatic theorem for the time-dependent wave operator, Phys. Rev. A 71, 052706 (2005).
- D. Viennot, G. Jolicard & J.P. Killingbeck, Berry phase and time-dependent wave operators, J. Phys. A : Math. Gen. 39, 7065 (2006).
- D. Viennot, Geometry of quantum active subspaces and of effective Hamiltonians, J. Math. Phys. 48, 052102 (2007).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- D. Viennot, Almost quantum adiabatic dynamics and generalized time dependent wave operators, J. Phys. A: Math. Theor. 47, 065302 (2014).
- 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).
- 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).
- 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).
- 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).
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Phases géométriques non-abéliennes ou non-unitaires en dynamique quantiqueNon-abelian or non-unitary geometric phases in quantum dynamicsEspaces fibrés composites et applications aux phases géométriques qui ne commutent pas avec les phases dynamiques, phases géométriques des systèmes quantiques dissipatifs.Composite fibre bundles and applications to geometric phases which does not commute with dynamical phases, geometric phases of dissipative quantum systems. |
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Topologies non-triviales en contrôle quantiqueNon-trivial topologies in quantum controlDéfauts topologiques des espaces fibrés, gerbes associées au contrôle de résonances quantiques, anholonomie de Cheon en transport adiabatique d'états de quasi-énergie de Floquet et gerbes associées.Topological defects of fibre bundles, gerbes associated with quantum resonance control, Cheon anholonomy in adiabatic transport of Floquet quasienergy states and associated gerbes. |
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Monopôles magnétiquesMagnetic monopolesMonopôles magnétiques virtuels en dynamique quantique adiabatique.Virtual magnetic monopoles in adiabatic quantum dynamics. |
- D. Viennot, Transport adiabatique et phases de Berry : application au contrôle cohérent passif, J. Phys. IV France : proceedings 119, 289 (2004).
- 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).
- D. Viennot, Magnetic monopoles in quantum adiabatic dynamics and the immersion property of the control manifold, J. Math. Phys. 47, 092105 (2006).
- 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).
- D. Viennot, Geometric phases in adiabatic Floquet theory, abelian gerbes and Cheon's anholonomy, J. Phys. A : Math. Theor. 42, 395302 (2009).
- D. Viennot, Holonomy of a principal composite bundle connection, non-abelian geometric phases and gauge theory of gravity, J. Math. Phys. 51, 103501 (2010).
- D. Viennot, Geometric phases in quantum control disturbed by classical stochastic processes, J. Math. Phys. 53, 082106 (2012).
- D. Viennot, Geometric phases, Everett's many-worlds interpretation of quantum mechanics, and wormholes, (submitted)