2013/04/12 by Elena del Valle, Michael J. Hartmann · 1 citation
Chemistry · Computer Science · Physics and Astronomy · #Chemistry #Cold Atom Physics and Bose-Einstein Condensates #Correlation function (quantum field theory) #Density matrix #Dissipation #Invariant (physics) #Materials science #Matrix (chemical analysis) #Photon #Physics #Quantum Information and Cryptography #Quantum mechanics #Quantum optics and atomic interactions #Quantum tunnelling #Stationary state #Statistical physics #Translation (biology) #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1088/0953-4075/46/22/224023
published as J. Phys. B: At. Mol. Opt. Phys. 46, 224023 (2013) · contribution to J. Phys. B special issue celebrating Jaynes-Cummings physics
arxiv created 2013/04/12 · openalex publication_date 2013/11/07 · arxiv updated 2014/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract. We introduce a method for calculating the stationary state of a translation invariant array of weakly coupled cavities in the presence of dissipation and coherent as well as incoherent drives. Instead of computing the full density matrix our method directly calculates the correlation functions which are relevant for obtaining all local quantities of interest. It considers an expansion of the correlation functions and their equations of motion in powers of the photon tunneling rate between adjacent cavities, leading to an exact second order solution for any number of cavities. Our method provides a controllable approximation for weak tunneling rates applicable to the strongly correlated regime that is dominated by nonlinearities in the cavities and thus of high interest. ar