Stochastic Variational Approach to Small Atoms and Molecules Coupled to Quantum Field Modes in Cavity QED
Alexander Ahrens, Chenhang Huang, Matt Beutel, Cody Covington, Kálmán Varga
Abstract
In this work, we present a stochastic variational calculation (SVM) of energies and wave functions of few particle systems coupled to quantum fields in cavity QED. The spatial wave function and the photon spaces are optimized by a random selection process. Using correlated basis functions, the SVM approach solves the problem accurately and opens the way to the same precision that is reached the nonlight coupled quantum systems. Examples for a two-dimensional trion and confined electrons as well as for the He atom and the H_{2} molecule are presented showing that the light-matter coupling drastically changes the electronic states.
Topics & Concepts
PhysicsWave functionPhotonQuantumCoupling (piping)Quantum mechanicsField (mathematics)Basis (linear algebra)ElectronAtom (system on chip)Function (biology)Variational methodDiatomic moleculeAtomic physicsBasis functionTrionStatistical physicsParticle (ecology)Quantum opticsElectromagnetic fieldOpen quantum systemCavity quantum electrodynamicsQuantum dynamicsElectronic structureMoleculeQuantum fluctuationStochastic processAdvanced Physical and Chemical Molecular InteractionsQuantum chaos and dynamical systemsQuantum Information and Cryptography