4 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.…
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…
An algebraic correspondence between stochastic differential equations and the Martin-Siggia-Rose formalism
Alberto Bonicelli, Claudio Dappiaggi, Nicolò Drago
In the realm of complex systems, dynamics is often modeled in terms of a non-linear, stochastic, ordinary differential equation (SDE) with either an additive or a multiplicative Ga…
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…