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.
arXiv comment25 pages, 4 figures
References in corpus (58)
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
- Ultrastrong coupling between light and matter
- Ultrastrong coupling regimes of light-matter interaction
- Dynamical quantum phase transitions: a review
- Proposed realization of the Dicke-model quantum phase transition in an optical cavity QED system
- Deep Strong Coupling Regime of the Jaynes-Cummings model
- Entanglement and the Phase Transition in Single Mode Superradiance
- Coherent and Collective Quantum Optical Effects in Mesoscopic Systems
- Exploring Symmetry Breaking at the Dicke Quantum Phase Transition
- The Dicke model phase transition in the quantum motion of a Bose-Einstein condensate in an optical cavity
- Dynamical phase transition in the open Dicke model
- Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
- Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
- Excited state quantum phase transitions in many-body systems
- Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
- Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
- Realization of the Dicke model using cavity-assisted Raman transitions
- Collective Dynamics of Bose--Einstein Condensates in Optical Cavities
- Dicke Superradiance in Solids
- Finite-Size Scaling Exponents in the Dicke Model
- Positive quantum Lyapunov exponents in experimental systems with a regular classical limit
- Ultrastrong coupling phenomena beyond the Dicke model
- Cavity quantum electrodynamics in the non-perturbative regime
- Excited-State Quantum Phase Transitions in Dicke Superradiance Models
- Large N Scaling Behavior of the Lipkin-Meshkov-Glick Model
- Excited-state quantum phase transitions
- Digital Quantum Rabi and Dicke Models in Superconducting Circuits
- Some remarks on 'superradiant' phase transitions in light-matter systems
- Super-Radiant Dynamics, Doorways, and Resonances in Nuclei and Other Open Mesoscopic Systems
- Theoretical methods for ultrastrong light-matter interactions
- Comparative quantum and semi-classical analysis of Atom-Field Systems I: density of states and excited-state quantum phase transitions
- Comparative quantum and semi-classical analysis of Atom-Field Systems II: Chaos and regularity
- Classical chaos in atom-field systems
- Drude weight, cyclotron resonance, and the Dicke model of graphene cavity QED
- Cavity QED of the graphene cyclotron transition
- 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
- Thermodynamics of ultrastrongly coupled light-matter systems
- Excited-state quantum phase transitions and periodic dynamics
- Classification of excited-state quantum phase transitions for arbitrary number of degrees of freedom
- Light-shift-induced quantum phase transitions of a Bose-Einstein condensate in the optical cavities
- Chaos and quantum scars in Bose-Josephson junction coupled to a bosonic mode
- Coherent State Description of the Ground State in the Tavis-Cummings Model and its Quantum Phase Transitions
- Goldstone and Higgs modes of photons inside a cavity
- Semiclassical coherent state propagator for systems with spin
- Dynamical phase transitions in dissipative quantum dynamics with quantum optical realization
- Thermal and Quantum Phase Transitions in Atom-Field Systems: a Microcanonical Analysis
- Quantum phases and entanglement properties of an extended Dicke model
- Quantum phase transitions in coupled two-level atoms in a single-mode cavity
- Excited-state quantum phase transitions in a two-fluid Lipkin model
- Critical phenomena in an extended Dicke model
- Ultrastrong-coupling quantum-phase-transition phenomena in a few-qubit circuit QED system
- On the Thermodynamic Limit of the Lipkin Model
- Ground state in the finite Dicke model for interacting qubits
- Ground-State Properties for Coupled Bose-Einstein Condensates inside a Cavity Quantum Electrodynamics
- Classical dynamics of a two-species condensate driven by a quantum field
- Dissipative Bose-Josephson junction coupled to bosonic baths