Quantum Correlations and Entanglement in Generalized Dicke-Ising Models

TL;DR

This paper investigates quantum correlations and entanglement in generalized Dicke-Ising models within cavity QED systems, revealing emergent superradiant modes, quantum spin nematic states, and the potential for quantum state engineering through light-matter interactions.

Contribution

It introduces a new Light-Matter DMRG algorithm to study strongly interacting spin chains coupled to cavity light, enabling exploration of multimode structures and quantum correlations.

Findings

Emergence of superradiant modes with measurable signatures

Quantum spin nematic states with long-range order

Cavity field enhances entanglement for quantum state engineering

Abstract

Quantum systems inside high-Q cavities offer an excellent testbed for the control of emergent symmetries induced by light and their interplay with quantum matter. Recently several developments in cavity experiments with neutral atoms and other quantum objects such as ions motivate the study of their quantum correlated properties and their entanglement to tailor and control the behavior of the system. Using the enhanced coupling between light and interacting matter we explore the properties of emergent superradiant modes using our newly developed Light-Matter DMRG algorithm with strongly interacting spin chains. We explore a experimentally viable generalization of the transverse Ising chain coupled to the cavity light where it is possible to induce multimode structures tailored by the light pumped into the system. We find a plethora of scenarios can be explored with clear and accesible measurable signatures. This allows to study the physics of emergent orders and strong quantum correlations with quantum spins where the local and long range coupling can be efficiently simulated. We find that quantum spin nematic states with long range order and magnon pairs emerge as the transitions to superradiant phases take place. Notably, we show the cavity field allows the optimization of entanglement between spins for different light induced modes which can be used for quantum state engineering of quantum correlated states. Our methods can be used to model other hybrid quantum systems efficiently.