Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Cesare Tronci"'
We consider the interaction dynamics of a classical oscillator and a quantum two-level system for different pure-dephasing Hamiltonians of the type $\widehat{H}(q,p)=H_C(q,p)\boldsymbol{1}+H_I(q,p)\widehat\sigma_z$. This type of systems represents a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::670e62bf9fbc031170f5c979c47ac7d0
Autor:
François Gay-Balmaz, Cesare Tronci
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 56:144002
Mixed quantum-classical spin systems have been proposed in spin chain theory and, more recently, in magnon spintronics. However, current models of quantum-classical dynamics beyond mean-field approximations typically suffer from long-standing consist
Autor:
François Gay-Balmaz, Cesare Tronci
A gauge-invariant wave equation for the dynamics of hybrid quantum-classical systems is formulated by combining the variational setting of Lagrangian paths in continuum theories with Koopman wavefunctions in classical mechanics. We identify gauge tra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7c8b619600ab694f8c90396bfa25cd5
http://arxiv.org/abs/2112.12144
http://arxiv.org/abs/2112.12144
Autor:
Cesare Tronci, François Gay-Balmaz
Publikováno v:
Geometric Science of Information
Geometric Science of Information, 12829, Springer International Publishing, pp.311-319, 2021, Lecture Notes in Computer Science, ⟨10.1007/978-3-030-80209-7_35⟩
Lecture Notes in Computer Science ISBN: 9783030802080
Geometric Science of Information, 12829, Springer International Publishing, pp.311-319, 2021, Lecture Notes in Computer Science, ⟨10.1007/978-3-030-80209-7_35⟩
Lecture Notes in Computer Science ISBN: 9783030802080
8 pages, 1 figure. To appear in Lecture Notes in Comput. Sci; International audience; Based on the Koopman-van Hove (KvH) formulation of classical mechanics introduced in Part I, we formulate a Hamiltonian model for hybrid quantum-classical systems.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c9a47377f101c24c3e4369ad80a18ab
https://hal.archives-ouvertes.fr/hal-03431440
https://hal.archives-ouvertes.fr/hal-03431440
Autor:
Cesare Tronci, Ilon Joseph
Motivated by recent discussions on the possible role of quantum computation in plasma simulations, here we present different approaches to Koopman's Hilbert-space formulation of classical mechanics in the context of Vlasov-Maxwell kinetic theory. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ad974046af115e3ed2f11b6f184eae0
http://arxiv.org/abs/2105.00294
http://arxiv.org/abs/2105.00294
Publikováno v:
Holm, D D, Rawlinson, J I & Tronci, C 2021, ' The bohmion method in nonadiabatic quantum hydrodynamics ', Journal of Physics A: Mathematical and Theoretical, vol. 54, no. 49, 495201 . https://doi.org/10.1088/1751-8121/ac2ae8
Starting with the exact factorization of the molecular wavefunction, this paper presents the results from the numerical implementation in nonadiabatic molecular dynamics of the recently proposed bohmion method. Within the context of quantum hydrodyna
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5089c48c4cec641a496350bf0b313913
http://arxiv.org/abs/2012.03569
http://arxiv.org/abs/2012.03569
Autor:
Cesare Tronci, François Gay-Balmaz
Publikováno v:
Nonlinearity
Nonlinearity, IOP Publishing, 2020, 33 (10), pp.5383-5424. ⟨10.1088/1361-6544/aba233⟩
Nonlinearity, IOP Publishing, 2020, 33 (10), pp.5383-5424. ⟨10.1088/1361-6544/aba233⟩
Fully revised. To appear in Nonlinearity; International audience; This paper extends the Madelung-Bohm formulation of quantum mechanics to describe the time-reversible interaction of classical and quantum systems. The symplectic geometry of the Madel
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe410be8f38feb75ca92a676593b0333
https://hal.archives-ouvertes.fr/hal-03042578
https://hal.archives-ouvertes.fr/hal-03042578
Autor:
Cesare Tronci, Jonathan I. Rawlinson
While the treatment of conical intersections in molecular dynamics generally requires nonadiabatic approaches, the Born-Oppenheimer adiabatic approximation is still adopted as a valid alternative in certain circumstances. In the context of Mead-Truhl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d4cf80d59de1954d3d192dfa5d78721
Autor:
Cesare Tronci
Publikováno v:
Plasma Physics and Controlled Fusion
After reviewing the variational approach to splitting mean flow and fluctuation kinetics in the standard Vlasov theory, the same method is applied to the drift-kinetic equation from Littlejohn's theory of guiding-center motion. This process sheds a n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1bee617efd2309b59d77af72446b794c
http://arxiv.org/abs/1910.13883
http://arxiv.org/abs/1910.13883
Publikováno v:
Proceedings. Mathematical, Physical, and Engineering Sciences
Upon revisiting the Hamiltonian structure of classical wavefunctions in Koopman-von Neumann theory, this paper addresses the long-standing problem of formulating a dynamical theory of classical-quantum coupling. The proposed model not only describes