Zeeman Spectroscopy in Penning Traps

Thermal corrections to the bound-electron $g$-factor

“…Within the framework of the Line Profile approach, this can be performed by the accounting of an infinite series of self-energy and vacuum-polarization insertions into the internal electron lines of diagrams in Fig. (1). Arising geometric progression leads to the appearance of the corresponding Lamb shifts and levels widths in the energy denominators [41].…”

“…In the case of weak field, the Zeeman shift is linear in the field strength with the proportionality coefficient termed as g-factor. Experiments on the determination of the bound-electron g-factor have reached extremely high precision in recent years [1]. Up to now, the most accurate results were obtained for hydrogen-like ions: 12 C 5+ [2, 3], 16 O 7+ [4], and 28 Si 13+ [3,5] with the precision on the level of 10 −12 .…”

First principles simulation of ultracold ion crystals in a Penning trap with Doppler cooling and a rotating wall potential

“…A Penning trap with a rotating wall potential and Doppler laser cooling can produce stable ultra-cold non-neutral ion plasma crystals with temperatures of a fraction of a millikelvin [1][2][3][4]. Such ultra-cold ion crystals enable interesting research at the forefront of different areas of physics including atomic physics [5][6][7][8][9], quantum optics and metrology [10,11] , quantum simulation [12][13][14], and basic plasma physics [15] , including studies of strongly coupled plasmas that model dense astrophysical matter [16][17][18] . For many applications lower ion temperatures are desirable.…”