Method of canonical transformations in the theory of quantum gases interacting with radiation

Abstract

An approach to the theoretical study of effects and phenomena in quantum gases interacting with radiation is proposed. The approach is based on a modification of the canonical transformation method, which was once used to diagonalize Hamiltonians describing the interaction of electrons with phonons in a solid. The capabilities of the method are demonstrated by studying the influence of photons on the spectral characteristics of atoms of quantum gases interacting with radiation. Within the framework of the developed approach, the effect of "dressing" atoms of quantum gases by a cloud of virtual photons is investigated and expressions for the energy characteristics of such dressed atoms - quasiparticles are obtained. The problem of defining the concept of the effective mass of such quasiparticles is discussed.

arXiv comment13 pages

References in corpus (8)

• Bose-Einstein condensation of photons in an optical microcavity
• Bose-Einstein condensation of photons in an ideal atomic gas
• Second quantization method in the presence of bound states of particles
• Bose-Einstein Condensation of Photons in a Microscopic Optical Resonator: Towards Photonic Lattices and Coupled Cavities
• Bose-Einstein condensation of heteronuclear bound states formed in a Fermi gas of two atomic species: microscopic approach
• Astrophysical Bounds on the Photon Charge and Magnetic Moment
• Coexistence of photonic and atomic Bose-Einstein condensates in ideal atomic gases
• The photon magnetic moment problem revisited