Zobrazeno 1 - 10
of 208
pro vyhledávání: '"Tronci, Cesare"'
Autor:
Martínez-Crespo, David, Tronci, Cesare
We consider the dynamics of interacting quantum and classical systems in the Heisenberg representation. Unlike the usual construction in standard quantum mechanics, mixed quantum-classical systems involve the interplay of unitary operators acting on
Externí odkaz:
http://arxiv.org/abs/2405.10653
In order to alleviate the computational costs of fully quantum nonadiabatic dynamics, we present a mixed quantum-classical (MQC) particle method based on the theory of Koopman wavefunctions. Although conventional MQC models often suffer from consiste
Externí odkaz:
http://arxiv.org/abs/2312.13878
Autor:
Gay-Balmaz, François, Tronci, Cesare
Several methods in nonadiabatic molecular dynamics are based on Madelung's hydrodynamic description of nuclear motion, while the electronic component is treated as a finite-dimensional quantum system. In this context, the quantum potential leads to s
Externí odkaz:
http://arxiv.org/abs/2306.15652
Autor:
Bergold, Paul, Tronci, Cesare
While Born-Oppenheimer molecular dynamics (BOMD) has been widely studied by resorting to powerful methods in mathematical analysis, this paper presents a geometric formulation in terms of Hamilton's variational principle and Euler-Poincar\'{e} reduct
Externí odkaz:
http://arxiv.org/abs/2305.18972
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:
http://arxiv.org/abs/2303.04538
Autor:
Tronci, Cesare, Gay-Balmaz, François
Mixed quantum-classical models have been proposed in several contexts to overcome the computational challenges of fully quantum approaches. However, current models typically suffer from long-standing consistency issues, and, in some cases, invalidate
Externí odkaz:
http://arxiv.org/abs/2303.01975
Autor:
Gay-Balmaz, François, Tronci, Cesare
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
Externí odkaz:
http://arxiv.org/abs/2210.00988
Autor:
Tronci, Cesare
Publikováno v:
Lond. Math. Soc. Newsl. 505 (2023), 18-21
Going back to the early days in the history of quantum mechanics, the interaction of quantum and classical systems stands among the most intriguing open questions in science and makes its appearance in several fields, from physics to chemistry. Recen
Externí odkaz:
http://arxiv.org/abs/2209.04878
Autor:
Gay-Balmaz, François, Tronci, Cesare
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:
http://arxiv.org/abs/2112.12144
Autor:
Gay-Balmaz, François, Tronci, Cesare
We deal with the reversible dynamics of coupled quantum and classical systems. Based on a recent proposal by the authors, we exploit the theory of hybrid quantum-classical wavefunctions to devise a closure model for the coupled dynamics in which both
Externí odkaz:
http://arxiv.org/abs/2108.01482