Quantum Optics with Giant Atoms in 2D Structured Environments
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Examensarbete för masterexamen
Master's Thesis
Master's Thesis
Program
Modellbyggare
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Sammanfattning
One of the major hurdles in the ongoing efforts to construct a working large-scale quantum
computer is achieving rapid interactions between qubits without risking a loss of energy
(and thus information) to their surroundings. This loss of energy is known as decoherence.
In recent years, one possible solution to this problem that has shown promise is the use of
so-called giant atoms. In certain configurations, these systems have been shown to exhibit
decoherence-free interaction (DFI) when coupled to one-dimensional environments, such
as transmission lines or photonic crystal waveguides. For DFI to be possible, the atoms
involved must be perfectly subradiant – that is, they must not spontaneously decay into
their environments. In this study, we used numerical simulations combined with the
methods of resolvent formalism to examine under what conditions giant atoms exhibit
perfect subradiance and DFI when coupled to two-dimensional (2D) environments. More
specifically, structured 2D environments – i.e. resonator lattices – were considered. In
such environments, there are finite energy bands and band gaps, which causes effects
that are not predicted by the so-called Born-Markov approximation, e.g. time delay.
Multiple generalisations of previously known setups exhibiting perfect subradiance were
found. Furthermore, a number of different configurations exhibiting DFI were discovered,
including grid-like ones that in principle could be extended indefinitely.
Beskrivning
Ämne/nyckelord
quantum optics, giant atoms, 2D, structured environments, subradiance, decoherence-free interaction, resolvent formalism