A model for an interacting quantum field

V. D. Kukin, A. R. Frenkin

Akito Suzuki

We consider a scaling limit of the Hamiltonian of the generalized spin-boson (GSB) model which is an abstract quantum field theoretical model of particles interacting with a Bose field. Applying it to a Hamiltonian of the field of the nuclear force with isospin, we obtain an effective potential of the interaction between nucleons. Also, we discuss an application to a Hamiltonian of a lattice spin system interacting with a Bose field and obtain a spin–spin interaction in the vacuum of the Bose field. An interaction model between a Fermi field and a Bose field yields an interaction in the vacuum of the Bose field.

Eirini C. Telali, Tales Rick Perche, Eduardo Martín-Martínez

We analyze the interaction between two quantum systems in spacetime, and we compare two possible models to describe it: (1) a fully quantum field theoretical (QFT) description of the coupling of two quantum systems mediated by a quantum field, and (2) a quantum-controlled model (qc-model), which is an effectively relativistic direct coupling in which the interaction of two quantum systems is not mediated by a field with local quantum degrees of freedom. We show that while there are regimes where the qc-model can approximate QFT arbitrarily well, it can suffer from retrocausal effects. We discuss in what regimes those retrocausal predictions of the qc-model are non-negligible and whether they can be used to argue that gravity induced entanglement experiments can reveal genuinely quantum aspects of the gravitational interaction or not.

H. Muirhead

Esteban A. Calzetta, B. L. Hu

Yupeng Wang, Fu‐Cho Pu

The quantum three-wave interaction model (3WI) with two fermionic fields and one bosonic field is studied on the basis of quantum inverse scattering method (QISM). The Hamiltonian for this model is diagonalized and an infinite number of conserved quantities is obtained.