dc.description.abstract | This article provides a systematic interpretation of the quantum Rabi model as a model of
photospins formed in the atom-field Jaynes-Cummings and anti-Jaynes-Cummings interaction
mechanisms. A photospin is a quantized photon-carrying two-state quasiparticle mode specified
by two qubit state vectors, state eigenvectors, energy eigenvalues and well defined dynamical and
symmetry operators. The algebraic properties of a photospin are exactly the same as the algebraic
properties of a two-state atomic spin (spin- 1
2
particle). The time evolving photospin qubit state
vectors describe exact Rabi oscillations between the qubit states, while the corresponding time
evolving density operator reveals that the geometric configuration of the photospin state space is
a circle of unit radius in the yz-plane. The internal dynamics of a Jaynes-Cummings interaction
generated photospin (rotating photospin) is characterized by red-sideband transitions specified by
frequency detuning δ = ω0 − ω, while the internal dynamics of an anti-Jaynes-Cummings interaction generated photospin (antirotating photospin) is characterized by blue-sideband transitions
specified by frequency detuning δ = ω0 + ω. The simple algebraic properties of a photospin
allow formulation of exactly solved models of interacting photospins on Jaynes-Cummings and
anti-Jaynes-Cummings optical lattices. The physical property that a photospin state transition
operator has eigenvalues ±1 in the eigenstate basis provides models of interacting photospins
equivalent to one-dimensional Curie-Weiss or Ising models of interacting spins on a linear crystal
lattice. Time evolving state vectors of two interacting photospins have been determined exactly
as entangled nonorthogonal state vectors, which have wide applications in quantum information
processing, quantum computation, quantum teleportation and communication, quantum state
tomography and related quantum technologies. | en_US |