Work

Energy spectrum and quantum phase transition of the coupled single spin and an infinitely coordinated Ising chain

Year: 2025

Type: article

Abstract: In this work we consider a spin model composed of a single spin and connected to an infinitely coordinated Ising chain. Theoretical models of this type arise from various fields of theoretical physics, such as theory of open systems, quantum control, and quantum computations. In the thermodynamic limit of an infinite chain, we map the chain Hamiltonian to the Hamiltonian of the Lipkin-Meshkov-Glik model, and the system as a whole is described by a generalized Rabi Hamiltonian. Next, the effective Hamiltonian is obtained using the Foulton-Gouterman transformation. In the thermodynamic limit we obtain the spectrum of the whole system and study the properties of the ground-state quantum phase transition.

Source: Beilstein Journal of Nanotechnology

DOI: 10.3762/bjnano.16.117

Authors: Seidali Seidov, Natalia Pugach, Anatolie Sidorenko

Institutions: National Research University Higher School of Economics, National University of Science and Technology, Moscow Institute of Physics and Technology, Technical University of Moldova

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Russian Science Foundation

Awards: G4227762765, G6350805330