Correlations in low dimensional quantum systems

dc.check.embargoformatNot applicableen
dc.check.infoNo embargo requireden
dc.check.opt-outNot applicableen
dc.check.reasonNo embargo requireden
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dc.contributor.advisorBusch, Thomasen
dc.contributor.advisorRuschhaupt, Andreasen
dc.contributor.authorFogarty, Thomás
dc.contributor.funderIrish Research Councilen
dc.date.accessioned2014-01-08T11:32:02Z
dc.date.available2014-01-08T11:32:02Z
dc.date.issued2013
dc.date.submitted2013
dc.description.abstractIn this thesis I present the work done during my PhD in the area of low dimensional quantum gases. The chapters of this thesis are self contained and represent individual projects which have been peer reviewed and accepted for publication in respected international journals. Various systems are considered, the first of which is a two particle model which possesses an exact analytical solution. I investigate the non-classical correlations that exist between the particles as a function of the tunable properties of the system. In the second work I consider the coherences and out of equilibrium dynamics of a one-dimensional Tonks-Girardeau gas. I show how the coherence of the gas can be inferred from various properties of the reduced state and how this may be observed in experiments. I then present a model which can be used to probe a one-dimensional Fermi gas by performing a measurement on an impurity which interacts with the gas. I show how this system can be used to observe the so-called orthogonality catastrophe using modern interferometry techniques. In the next chapter I present a simple scheme to create superposition states of particles with special emphasis on the NOON state. I explore the effect of inter-particle interactions in the process and then characterise the usefulness of these states for interferometry. Finally I present my contribution to a project on long distance entanglement generation in ion chains. I show how carefully tuning the environment can create decoherence-free subspaces which allows one to create and preserve entanglement.en
dc.description.sponsorshipIrish Research Council (EMBARK initiative: RS/2009/1082)en
dc.description.statusNot peer revieweden
dc.description.versionAccepted Version
dc.format.mimetypeapplication/pdfen
dc.identifier.citationFogarty, T. 2013. Correlations in low dimensional quantum systems. PhD Thesis, University College Cork.en
dc.identifier.endpage123
dc.identifier.urihttps://hdl.handle.net/10468/1293
dc.language.isoenen
dc.publisherUniversity College Corken
dc.rights© 2013, Thomás Fogartyen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/en
dc.subjectQuantum mechanicsen
dc.subjectQuantum correlationsen
dc.subjectQuantum metrologyen
dc.subjectTonks-Girardeau gasen
dc.subjectLow dimensionsen
dc.subject.lcshQuantum theoryen
dc.subject.lcshMetrologyen
dc.thesis.opt-outfalse
dc.titleCorrelations in low dimensional quantum systemsen
dc.typeDoctoral thesisen
dc.type.qualificationlevelDoctoralen
dc.type.qualificationnamePhD (Science)en
ucc.workflow.supervisorthbusch@phys.ucc.ie
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