Quantum entanglement and phase transition in a two-dimensional photon-photon pair model
arXiv:1204.0951 · doi:10.1016/j.physb.2012.09.026
Abstract
We propose a two-dimensional model consisting of photons and photon pairs. In the model, the mixed gas of photons and photon pairs is formally equivalent to a two-dimensional system of massive bosons with non-vanishing chemical potential, which implies the existence of two possible condensate phases. Using the variational method, we discuss the quantum phase transition of the mixed gas and obtain the critical coupling line analytically. Moreover, we also find that the phase transition of the photon gas can be interpreted as second harmonic generation. We then discuss the entanglement between photons and photon pairs. Additionally, we also illustrate how the entanglement between photons and photon pairs can be associated with the phase transition of the system.
arXiv comment14 pages, 5 figures
References in corpus (11)
- Bose-Einstein condensation of photons in an optical microcavity
- A full Next to Leading Order study of direct photon pair production in hadronic collisions
- Thermalisation of a two-dimensional photonic gas in a 'white-wall' photon box
- Quantum phase transition in an atomic Bose gas with a Feshbach resonance
- The trapped two-dimensional Bose gas: from Bose-Einstein condensation to Berezinskii-Kosterlitz-Thouless physics
- Matter Coupling to Strong Electromagnetic Fields in Two-Level Quantum Systems with Broken Inversion Symmetry
- BCS-to-BEC crossover from the exact BCS solution
- Classical and quantum dynamics of a model for atomic-molecular Bose--Einstein condensates
- Generating Polarization-Entangled Photon Pairs with Arbitrary Joint Spectrum
- Some remarks on the coherent-state variational approach to nonlinear boson models
- The role of particle interactions in a many-body model of Feshbach molecular formation in bosonic systems