| [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). |
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| [2]
G. Jolicard, D. Viennot & J.P. Killingbeck, Constrained
adiabatic trajectory method, J. Phys. Chem. A 109,
8580 (2004). |
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| [3]
D. Viennot, Transport
adiabatique et phases de Berry : application au contrôle
cohérent passif, J. Phys. IV France : proceedings 119,
289 (2004). |
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[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).
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| [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). |
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| [6]
D.
Viennot, G. Jolicard & J.P. Killingbeck, Berry
phase and time-dependent wave operators, J. Phys. A :
Math. Gen. 39, 7065
(2006). |
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| [7]
D. Viennot, Magnetic monopoles
in quantum adiabatic dynamics and the immersion property of the
control manifold, J. Math. Phys. 47,
092105 (2006). |
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| [8]
D. Viennot, Geometry of quantum
active subspaces and of effective Hamiltonians, J. Math.
Phys. 48, 052102 (2007). |
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[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).
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| [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). |
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| [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). |
[arXiv]
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| [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). |
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| [13]
D.
Viennot, Geometric phases in
adiabatic Floquet theory, abelian gerbes and Cheon's anholonomy,
J. Phys. A : Math. Theor. 42,
395302 (2009). |
[arXiv]
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| [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). |
[arXiv]
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| [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). |
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| [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). |
[arXiv]
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| [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). |
[arXiv]
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[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).
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[arXiv]
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[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).
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[arXiv]
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[20]
D.Viennot & J. Lages, C*-geometric
phase for mixed states: entanglement, decoherence and spin
system, J. Phys. A: Math. Theor. 45,
365305 (2012).
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[arXiv]
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[21]
D. Viennot, Geometric phases in
quantum control disturbed by classical stochastic processes, J.
Math. Phys. 53, 082106
(2012).
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[arXiv]
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[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).
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[arXiv]
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[23]
D. Viennot, Almost quantum
adiabatic dynamics and generalized time dependent wave
operators, J. Phys. A: Math. Theor. 47,
065302 (2014).
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[arXiv]
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[24]
D. Viennot, Adiabatic quantum
control hampered by entanglement, J. Phys. A: Math.
Theor. 47, 295301 (2014).
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[arXiv]
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| [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). |
[arXiv]
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| [26]
D. Viennot & L. Aubourg, Adiabatic
theorem for bipartite quantum systems in weak coupling limit,
J. Phys. A: Math. Theor. 48,
025301 (2015). |
[arXiv]
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| [27]
D. Viennot & L. Aubourg, Quantum
chimera states, Physics Letters A 380,
678 (2016) . |
[arXiv]
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| [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). |
[arXiv]
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[29]
D. Viennot, Non-abelian higher
gauge theory and categorical bundle, Journal of Geometry
and Physics 110, 407 (2016).
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[arXiv]
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[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).
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[arXiv]
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| [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). |
[arXiv]
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| [32]
D. Viennot & O. Moro, Adiabatic
transport of qubits around a black hole, Class. Quant.
Gravity 34, 055005 (2017). |
[arXiv]
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| [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). |
[arXiv]
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| [34]
D. Viennot, Purification of
Lindblad dynamics, geometry of mixed states and geometric
phases, J. Geom. Phys. 133, 42 (2018). |
[arXiv]
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[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).
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[arXiv]
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[36]
D. Viennot & L. Aubourg, Chaos,
decoherence and emergent extradimensions in D-brane dynamics
with fluctuations, Class. Quant. Gravity 35,
135007 (2018).
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[arXiv]
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[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).
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[arXiv]
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[38]
D. Viennot, Effective Hamiltonians for almost-periodically driven quantum systems, J. Phys. A: Math. Theor. 54 414004 (2021)
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[arXiv]
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[39]
D. Viennot, Emergent gravity and D-brane adiabatic dynamics: emergent Lorentz connection , Class. Quant. Gravity 38 245004 (2021)
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[arXiv]
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[40]
D. Viennot, Competition between decoherence and purification: quaternionic representation and quaternionic fractals, Chaos, Solitons and Fractals 161 112346 (2022)
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[arXiv]
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[41]
D. Viennot, Fuzzy Schwarzschild (2+1)-spacetime, J. Math. Phys. 63 082302 (2022)
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[arXiv]
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[42]
D. Viennot, Geometric phases, Everett's many-worlds interpretation of quantum mechanics, and wormholes, Quantum Studies: Math. Found., doi.org/10.1007/s40509-024-00324-9 (2024)
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[arXiv]
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[43]
D. Viennot, Metrics and geodesics on fuzzy spaces, (submitted)
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[arXiv]
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