Tank‐Circuit Assisted Coupling Method for Sympathetic Laser Cooling

Abstract

The coupling of the motion of two ion species in separate Penning traps via a common tank circuit is discussed. The enhancement of the coupling assisted by the tank circuit is demonstrated by an avoided crossing behavior measurement of the motional modes of two coupled ions. An intermittent laser cooling method for sympathetic cooling is proposed and a theoretical description is provided. The technique enables tuning of the coupling strength between two ion species in separate traps and thus allows for efficient sympathetic cooling of an arbitrary type of single ion for high-precision Penning-trap experiments. IntroductionPenning traps have been proven as a versatile tool for fundamental physics [1,2] as well as in quantum science. [3,4] A multitude of high-precision measurements have been performed at Penningtrap facilities, such as measurements of atomic masses, [5][6][7][8][9][10][11] magnetic moments of elementary particles, for instance the free [12] and bound electron, [13,14] proton [15] and antiproton, [16] and laser spectroscopy of a single highly charged ion (HCI). [17] These experiments are dedicated to testing pillars of the Standard Model

Sympathetic cooling schemes for separately trapped ions coupled via image currents

“…must be satisfied. Inserting this condition into equation ( 25) reproduces the previously reported formula [2,3] for the Rabi oscillation frequency. Equation ( 27) reflects the simultaneous conservation of energy and conservation of charge on the common-endcap capacitance within one Rabi cycle.…”

“…The cooling rate for the proton is given by the local slope of the energy exchange curve, i.e. it vanishes to first order for continuously cooled 9 Be + ions [3].…”

“…The ability to prepare (ultra-)cold particles in a controlled environment through laser cooling has been a major driving force in the enhanced precision of recent experiments in the field of atomic, molecular and optical physics [1]. However, many particle species of interest offer no suitable transitions for direct laser cooling, so that for these particles sympathetic cooling techniques have to be employed [2][3][4][5][6][7]. Established sympathetic cooling schemes rely on Coulomb interactions between the target particle and the laser-cooled ions.…”

“…A temperature reduction of the axial mode from 17.0(2.4) K to 2.6(2.5) K was achieved. Other recent experimental efforts have demonstrated the coupling between two highly charged ions with a comparable experimental setup [3] or the coupling of two laser-cooled ions stored in a Paul trap by a floating room-temperature wire [14].…”

Higher-order corrections to spin-orbit and spin-spin tensor interactions in hydrogen molecular ions: theory and application to H$_2^+$

“…There are several motivations to study the hyperfine structure specifically in H + 2 . Recent efforts and proposals towards high-resolution laser spectroscopy of this ion [12][13][14] offer new opportunities to test the theory; accurate theoretical predictions of the hyperfine splitting are also likely to be required to extract spin-averaged transition frequencies, similarly to HD + [1, 2]. Moreover, H + 2 is of high astrophysical importance due to its role in the formation of H + 3 .…”