Manipulating quantum materials with quantum light
Martin Kiffner, Jonathan Coulthard, Frank Schlawin, Arzhang Ardavan,, and Dieter Jaksch

TL;DR
This paper demonstrates how coupling strongly correlated electron systems to a cavity mode can alter their magnetic and electronic properties, leading to new phases and interactions, with potential implications for quantum material control.
Contribution
It introduces a method to manipulate quantum materials using quantum light, specifically showing cavity-induced modifications in the Fermi-Hubbard model's properties.
Findings
Cavity coupling enhances magnetic interactions in the ground state.
It induces a long-range electron-electron interaction at less than half filling.
A new phase with momentum-space pairing is observed due to cavity effects.
Abstract
We show that the macroscopic magnetic and electronic properties of strongly correlated electron systems can be manipulated by coupling them to a cavity mode. As a paradigmatic example we consider the Fermi-Hubbard model and find that the electron-cavity coupling enhances the magnetic interaction between the electron spins in the ground-state manifold. At half filling this effect can be observed by a change in the magnetic susceptibility. At less than half filling, the cavity introduces a next-nearest neighbour hopping and mediates a long-range electron-electron interaction between distant sites. We study the ground state properties with Tensor Network methods and find that the cavity coupling can induce a new phase characterized by a momentum-space pairing effect for electrons.
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