Adiabatic Processes in the Janyes-Cummings model
2001 (English)Licentiate thesis, comprehensive summary (Other scientific)
This thesis investigates adiabatic processes in ageneralized Jaynes-Cummings model with two modes. Thenew ideais to use the bare states from this model for a stimulatedRaman adiabatic passage (STIRAP) process. In earlier work,atomic states have been used as quantum states to achieveadiabatic transfer in both theoretical and experimental work.In order to achieve adiabatic transfer the coupling pulses needto vary slowly in a counter-intuitive pulse sequence, a STIRAPprocess. In this thesis it is shown how an arbitrary photonstate and in particular a coherent state can be transferredbetween two cavity modes. The transfer is illustrated bynumerical analysis of the situation, where the transfer of acoherent state seems to follow closely through a squeezed staterather than a coherent state. An enormous increase in thesecond order correlation function of mode one is observedduring the evolution. This behaviour of the correlationfunction is attained when the parameters of the coupling pulsesare chosen such that an almost perfect population transfer isachieved. The features of the second order correlation functionresults from the non-adiabatic contributions. In simulations itis observed that the second order correlation function is verysensitive to the non-adiabatic deviations. From analysis in thedisplacement versus squeezing-plane it is shown that thecoupling parameters that minimize the non-adiabaticcontributions have a stable trajectory into the transferregion, where the second order correlation function of mode oneis large.
Place, publisher, year, edition, pages
Fysiska institutionen , 2001. , xii, 52 p.
Trita-FYS, ISSN 0280-316X ; 10006
IdentifiersURN: urn:nbn:se:kth:diva-1263ISBN: 91-7283-138-3OAI: oai:DiVA.org:kth-1263DiVA: diva2:7071
NR 201408052001-08-202001-08-20Bibliographically approved