Spin squeezing and Quantum Fisher Information in the Jaynes-Cummings Dicke Model

TL;DR

This paper explores spin squeezing and quantum Fisher information in a Bose-Einstein condensate within an optical cavity, revealing maximum quantum entanglement near the superradiant phase transition, with implications for quantum information and spectroscopy.

Contribution

It provides analytical expressions for spin squeezing and quantum Fisher information in the Jaynes-Cummings Dicke model using the frozen spin approximation.

Findings

Maximum spin squeezing occurs near the critical point in the superradiant phase.

Quantum Fisher information per particle is maximized near the phase transition.

Results are relevant for quantum information processing and precision measurements.

Abstract

We investigate spin squeezing (SS) and the quantum Fisher information (QFI) for the Jaynes-Cummings Dicke (JC-Dicke) model in a two component atomic Bose-Einstein condensate (BEC) inside an optical cavity. Analytical expressions for spin squeezing and the reciprocal of the quantum Fisher information per particle (RMQFI) are derived using the frozen spin approximation. It is shown that in the superradiant phase near the critical point, maximum squeezing and maximum quantum entanglement occurs. The present study is relevant to quantum information processing and precision spectroscopy.