P(φ)1-process for the spin-boson model and a functional central limit theorem for associated additive functionals

Soumaya Gheryani, Fumio Hiroshima, József Lőrinczi, Achref Majid, Habib Ouerdiane

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We construct a random process with stationary increments associated to the Hamiltonian of the spin-boson model consisting of a component describing the spin and a component given by a Schwartz distribution-valued Ornstein-Uhlenbeck process describing the boson field. We use a path integral representation of the Hamiltonian to prove a functional central limit theorem for additive functionals, and derive explicit expressions of the diffusion constant for specific functionals.

Original languageEnglish
Pages (from-to)1104-1115
Number of pages12
JournalStochastics
Volume89
Issue number6-7
DOIs
Publication statusPublished - Oct 3 2017

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modelling and Simulation

Fingerprint Dive into the research topics of 'P(φ)<sub>1</sub>-process for the spin-boson model and a functional central limit theorem for associated additive functionals'. Together they form a unique fingerprint.

Cite this