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@PHDTHESIS{Will:347257,
      author       = {Will, Christian},
      title        = {{S}ympathetic {C}ooling of {T}rapped {I}ons {C}oupled via
                      {I}mage {C}urrents: {S}imulation and {M}easurement},
      school       = {Ruprecht-Karls-Universität Heidelberg},
      type         = {Dissertation},
      address      = {Heidelberg},
      publisher    = {Heidelberg University Library},
      reportid     = {GSI-2023-00966},
      pages        = {149},
      year         = {2023},
      note         = {Dissertation, Ruprecht-Karls-Universität Heidelberg, 2023},
      abstract     = {The ability to transfer the temperature of laser cooled
                      ions to species without a suitable optical cooling
                      transition is of vital interest for the next generation of
                      experiments with trapped ions. For example, our experiment
                      (BASE-Mainz) performs high-precision Penning-trap
                      measurements of the proton magnetic moment. The currently
                      most precise measurement is limited by the non-zero particle
                      temperature of about 1 K. Recently, we have demonstrated the
                      first sympathetic cooling of a single proton with laser
                      cooled beryllium ions. Here, both species are located in
                      macroscopically separated traps and the coupling is mediated
                      by image currents, which are enhanced via a superconducting
                      RLC circuit. Due to the spatial separation between the
                      target ion and the laser-coolable species, this cooling
                      method can be applied not only to a single proton, but to
                      any charged particle, including exotic particles such as
                      antiprotons or highly-charged ions. In the course of this
                      thesis, a particle temperature of (160 ± 30) mK was
                      reproducibly achieved for such a sympathetically cooled
                      proton. This constitutes an improvement by a factor of 16
                      compared to the previous record of (2.6 ± 2.5) K and is a
                      factor of 55 below the environment temperature. This
                      accomplishment was enabled by two major advancements: First,
                      numerical simulations of the coupled Penning-trap system
                      were developed and carried out, which significantly
                      progressed the understanding of the coupling and cooling
                      mechanism. Second, a new experimental apparatus was
                      commissioned, which comprises among other upgrades a
                      dedicated temperature measurement trap. In addition, the
                      simulations were employed to establish future cooling
                      schemes that reach temperatures of 10 mK and possibly
                      below.},
      cin          = {ATP},
      cid          = {I:(DE-Ds200)ATP-20051214OR020},
      pnm          = {631 - Matter – Dynamics, Mechanisms and Control
                      (POF4-631)},
      pid          = {G:(DE-HGF)POF4-631},
      experiment   = {$EXP:(DE-Ds200)no_experiment-20200803$},
      typ          = {PUB:(DE-HGF)11},
      urn          = { urn:nbn:de:bsz:16-heidok-331853},
      urn          = {urn:nbn:de:bsz:16-heidok-331853},
      doi          = {10.11588/HEIDOK.00033185},
      url          = {https://repository.gsi.de/record/347257},
}