Critical phenomena in light-matter systems with collective matter interactions
arXiv:2207.13132 · doi:10.3390/e24091198
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.
25 pages, 4 figures
References in corpus (17)
- Deep Strong Coupling Regime of the Jaynes-Cummings model
- Dynamical phase transition in the open Dicke model
- Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
- Excited state quantum phase transitions in many-body systems
- Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
- Collective Dynamics of Bose--Einstein Condensates in Optical Cavities
- Excited-state quantum phase transitions
- Digital Quantum Rabi and Dicke Models in Superconducting Circuits
- Some remarks on 'superradiant' phase transitions in light-matter systems
- Drude weight, cyclotron resonance, and the Dicke model of graphene cavity QED
- First-order super-radiant phase transitions in a multi-qubit--cavity system
- Exotic quantum phase transitions in a Bose-Einstein condensate coupled to an optical cavity
- Excited-state quantum phase transitions and periodic dynamics
- Coherent State Description of the Ground State in the Tavis-Cummings Model and its Quantum Phase Transitions
- Dynamical phase transitions in dissipative quantum dynamics with quantum optical realization
- On the Thermodynamic Limit of the Lipkin Model
- Ground-State Properties for Coupled Bose-Einstein Condensates inside a Cavity Quantum Electrodynamics