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arXiv:2207.13132 · Entropy

Critical Phenomena in Light–Matter Systems with Collective Matter Interactions

Ricardo Herrera Romero, M. A. Bastarrachea-Magnani, Román Linares

Published Aug 27, 2022• 6 citations
arXivHTMLPDF

Abstract

We study the quantum phase diagram and the onset of quantum critical phenomena in a generalized Dicke model that includes collective qubit-qubit interactions. By employing semiclassical techniques, we analyze the corresponding classical energy surfaces, fixed points, and the smooth Density of States as a function of the Hamiltonian parameters to determine quantum phase transitions in either the ground (QPT) or excited states (ESQPT). We unveil a rich phase diagram, the presence of new phases, and new transitions that result from varying the strength of the qubits interactions in independent canonical directions. We also find a correspondence between the phases emerging due to qubit interactions and those in their absence but with varying the strength of the non-resonant terms in the light-matter coupling. We expect our work to pave the way and stimulate the exploration of quantum criticality in systems combining matter-matter and light-matter interactions.

DOI
10.3390/e24091198

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