The quantum jump method: photon statistics and macroscopic quantum jumps
of two interacting atoms
- URL: http://arxiv.org/abs/2201.11193v2
- Date: Wed, 9 Feb 2022 15:31:47 GMT
- Title: The quantum jump method: photon statistics and macroscopic quantum jumps
of two interacting atoms
- Authors: Charles A. McDermott
- Abstract summary: We first use the quantum method to replicate the well-known results of a single atom relaxing.
By use of individual "quantum trajectories", the method allows for simulation of systems inaccessible to ensemble treatments.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We first use the quantum method to replicate the well-known results of a
single atom relaxing, whilst demonstrating the intuitive picture it provides
for dissipative dynamics. By use of individual "quantum trajectories", the
method allows for simulation of systems inaccessible to ensemble treatments.
This is shown by replicating resonance fluorescence, allowing us to
concurrently demonstrate the method's facilitation of calculating photon
statistics by the creation of discrete photon streams. To analyse these, we
solidify the theoretical basis for, and implement, a computational method of
calculating second-order coherence functions. A process by which to model
interacting two-atom systems to allow for computation with the quantum jump
method is then developed. Using this, we demonstrate cooperative effects
leading to greatly modified emission spectra, before investigating the
decoupling of states from dissipative and coherent interactions. Here, we find
the novel insight provided by the quantum jump method both births and provides
the tools with which to begin an investigation into the occurrence of
macroscopic jumps and the formation of macroscopic dark periods in a system of
two two-level dipole-dipole coupled atoms.
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