Quantum phase transition of nonlinear light in the finite size Dicke Hamiltonian

Abstract

We study the quantum phase transition of a N two-level atomic ensemble interacting with an optical degenerate parametric process, which can be described by the finite size Dicke Hamiltonian plus counter-rotating and quadratic field terms. Analytical closed forms of the critical coupling value and their corresponding separable ground states are derived in the weak and strong coupling regimes. The existence of bipartite entanglement between the two-level-system ensemble and photon field as well as between ensemble components for moderate coupling is shown through numerical analysis. Given a finite size, our results also indicate the co-existence of squeezed fields and squeezed atomic ensembles.

arXiv comment17 pages, 2 figures, 1 table

References in corpus (24)

• 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
• Quantum phase transitions of light
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Proposed realization of the Dicke-model quantum phase transition in an optical cavity QED system
• Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
• Entanglement and the Phase Transition in Single Mode Superradiance
• The Dicke model phase transition in the quantum motion of a Bose-Einstein condensate in an optical cavity
• Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
• Effective spin systems in coupled micro-cavities
• Finite-Size Scaling Exponents in the Dicke Model
• Entangled webs: Tight bound for symmetric sharing of entanglement
• Instability and entanglement of the ground state of the Dicke model
• First-order super-radiant phase transitions in a multi-qubit--cavity system
• Dicke Effect in the Tunnel Current through two Double Quantum Dots
• Phase Transitions in Generalised Spin-Boson (Dicke) Models
• Dicke model and environment-induced entanglement in ion-cavity QED
• Quantum Phase Transitions of Light in the Dicke-Bose-Hubbard model
• A polaritonic two-component Bose-Hubbard model
• New exact solutions of the standard pairing model for well-deformed nuclei
• Oscillatory behavior of a superradiating system coupled to electron reservoirs
• A progressive diagonalization scheme for the Rabi Hamiltonian
• Optical signatures of quantum phase transitions in a light-matter system
• Photonic analogue of Josephson effect in a dual-species optical-lattice cavity

Cited by in corpus (6)

• Exceptional solutions in two-mode quantum Rabi models
• Probing the diamagnetic term in light-matter interaction
• Ground state in the finite Dicke model for interacting qubits
• The exact solution of generalized Dicke models via Susskind-Glogower operators
• Quantum-enhanced atomic gyroscope with tunable precision
• Classical dynamics of a two-species Bose-Einstein condensate in the presence of nonlinear maser processes