RT Journal Article
T1 The p-Adic Jaynes–Cummings Model in Symplectic Geometry
A1 Crespo, Luis
A1 Pelayo González, Álvaro
AB The notion of classical p-adic integrable system on a p-adic symplectic manifold was proposed by Voevodsky, Warren, and the second author a decade ago in analogy with the real case. In the present paper, we introduce and study, from the viewpoint of symplectic geometry and topology, the basic properties of the p-adic version of the classical Jaynes–Cummings model. The Jaynes–Cummings model is a fundamental example of an integrable system going back to the work of Jaynes and Cummings in the 1960s, and which applies to many physical situations, for instance in quantum optics and quantum information theory. Several of our results depend on the value of p: The structure of the model depends on the class of the prime p modulo 4 and p = 2 requires special treatment.
PB Springer
SN 0938-8974
SN 1432-1467
YR 2025
FD 2025
LK https://hdl.handle.net/20.500.14352/129174
UL https://hdl.handle.net/20.500.14352/129174
LA eng
NO 2025 Acuerdos transformativos CRUE
NO Ministerio de Ciencia e Innovación
NO BBVA
DS Docta Complutense
RD 31 dic 2025