Quantum field theoretical study of an effective spin model in coupled optical cavity arrays |
| |
Authors: | Sujit Sarkar |
| |
Institution: | Poornaprajna Institute of Scientific Research, 4 Sadashivanagar, Bangalore 560080, India |
| |
Abstract: | Atoms trapped in micro-cavities and interacting through the exchange of virtual photons can be modeled as an anisotropic Heisenberg spin-1/2 lattice. We do the quantum field theoretical study of such a system using the Abelian bosonization method followed by the renormalization group analysis. An infinite order Berezinskii-Kosterliz-Thouless transition is replaced by second order XY transition even when an infinitesimal anisotropy in exchange coupling is introduced. We predict a quantum phase transition between the photonic Coulomb blocked induce Mott insulating and photonic superfluid phases due to detuning between the cavity and laser frequency. A large detuning favors the photonic superfluid phase. We also perform the analysis of Jaynes and Cumming Hamiltonian to support the results of quantum field theoretical study. |
| |
Keywords: | Quantum many body models Polariton Cavity QED Spin chain model |
本文献已被 ScienceDirect 等数据库收录! |