11 papers · 1 filter
Subcriticality at High Temperatures in Spin Lattice Systems
Nicolò Drago, Lorenzo Pettinari, Christiaan J. F. van de Ven
We provide new sufficient conditions for subcriticality of classical and quantum spin lattice systems, formulated in terms of the uniqueness of Kubo-Martin-Schwinger (KMS) states.…
Classical and quantum KMS states on spin lattice systems
Nicolò Drago, Lorenzo Pettinari, Christiaan J. F. van de Ven
We study the classical and quantum KMS conditions within the context of spin lattice systems. Specifically, we define a strict deformation quantization (SDQ) for a -v…
Feynman path integrals on compact Lie groups with bi-invariant Riemannian metrics
Nicoló Drago, Sonia Mazzucchi, Valter Moretti
In this work we consider a suitable generalization of the Feynman path integral on a specific class of Riemannian manifolds consisting of compact Lie groups with bi-invariant Riema…
DLR-KMS correspondence on lattice spin systems
Nicolò Drago, Christiaan J. F. van de Ven
The Dobrushin-Lanford-Ruelle (DLR) condition and the classical Kubo-Martin-Schwinger (KMS) condition are considered in the context of classical lattice systems. In particular, we p…
An operational construction of the sum of two non-commuting observables in quantum theory and related constructions
Nicolò Drago, Sonia Mazzucchi, Valter Moretti
The existence of a real linear-space structure on the set of observables of a quantum system -- i.e., the requirement that the linear combination of two generally non-commuting obs…
On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary
Claudio Dappiaggi, Nicolò Drago, Rubens Longhi
We study Maxwell's equation as a theory for smooth -forms on globally hyperbolic spacetimes with timelike boundary as defined by Aké, Flores and Sanchez. In particular we start…