Regular Article

Collapse and revival oscillation in Double Jaynes–Cummings model^★

¹ Physics Department, Guru Charan College, Silchar 788004, India
² Centre of Advanced Studies and Innovation Lab, 18/27 Kali Mohan Road, Tarapur, Silchar 788003, India

^a e-mail: ssen55@yahoo.com

Received: 27 July 2018
Received in final form: 24 September 2018
Published online: 10 January 2019

Abstract

We develop a systematic method of solving two noninteracting Jaynes–Cummings models by using the dressed state formalism in Hilbert space H_AB^(2⊗2). It is shown that such model, called Double Jaynes–Cummings model (D-JCM), can be exactly solved if we take the initial bare state as the linear superposition of two Bell states. The collapse and revival oscillation, which is the standard trait of typical Jaynes–Cummings model, can be recovered if we make measurement at each local sites. Some consequence of the entanglement-induced dressing is discussed.