Report
Dynamics of mixed quantum-classical spin systems
| العنوان: | Dynamics of mixed quantum-classical spin systems |
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| المؤلفون: | Gay-Balmaz, François, Tronci, Cesare |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Condensed Matter - Mesoscale and Nanoscale Physics, Mathematical Physics, Mathematics - Symplectic Geometry |
| الوصف: | 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 consistency issues, and, in some cases, invalidate Heisenberg's uncertainty principle. Here, we present a fully Hamiltonian theory of quantum-classical spin dynamics that appears to be the first to ensure an entire series of consistency properties, including positivity of both the classical and the quantum density, so that Heisenberg's principle is satisfied at all times. We show how this theory may connect to recent energy-balance considerations in measurement theory and we present its Poisson bracket structure explicitly. After focusing on the simpler case of a classical Bloch vector interacting with a quantum spin observable, we illustrate the extension of the model to systems with several spins, and restore the presence of orbital degrees of freedom. Comment: Submitted as a contribution to the Special Collection "Koopman methods in classical and quantum-classical mechanics" in the Journal of Physics A. Revised version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1751-8121/acc145 |
| URL الوصول: | http://arxiv.org/abs/2210.00988 |
| رقم الانضمام: | edsarx.2210.00988 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1751-8121/acc145 |
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