Critical phenomena in light-matter systems with collective matter interactions

• URL: http://arxiv.org/abs/2207.13132v2
• Date: Mon, 19 Sep 2022 19:02:19 GMT
• Title: Critical phenomena in light-matter systems with collective matter interactions
• Authors: Ricardo Herrera Romero, Miguel Angel Bastarrachea-Magnani, and Rom\'an Linares
• Abstract summary: We study the quantum phase diagram and the onset of quantum critical phenomena in a generalized Dicke model. We unveil a rich phase diagram, the presence of new phases, and new transitions that result from varying the strength of the qubits interactions.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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