Sympathetic Wigner-function tomography of a dark trapped ion

Mirkhalaf, Safoura S.; Mølmer, Klaus

doi:10.1103/physreva.85.042109

Cited by 4 publications

(4 citation statements)

References 38 publications

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“…问题, 目前已开展了很多相关研究, 如基于暗离子的数目变化的离子反应过程研究 [25] , 对协同冷却作用下单个暗离子的成像研究 [26] , 对激光冷却下与暗离子相关的碰撞系数研究等 [27] . 本文针对多离子协同冷却的动力学问题, 在库仑晶体中用暗离子替换了特定位置的离子, 研究了离子晶体的动态演化过程.…”

Section: 值得一提的是在离子阱实验中经常遇到的暗离子unclassified

Simulation of Coulomb crystal structure and motion trajectory of calcium ions in linear ion trap

Zhang¹,

Zhou²,

Shen³

et al. 2023

Acta Phys. Sin.

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Coulomb crystal yields a wide range of applications including quantum computing and simulation, phase transitions, quantum logic spectroscopy, nonlinear dynamics and chaos, chemical reaction process, etc. The structure of the Coulomb crystal and the trajectory of each trapped ion are typically determined by the parameters of the trap and the ion species. However, dark ions are often inevitable in experiments, which introduces uncertainty to the desired crystal structures and ion trajectories. Few research has been conducted to investigate the configuration change of the crystal in the presence of dark ions and the influence of a dark ion on its surrounding ion trajectories in a multi-ion system. In this paper, we utilize the molecular dynamics simulation software LAMMPS and the (py) Lion package (modified to adapt the semi-classical theory of laser cooling) for the simulation of the 3D ion trajectories of Coulomb crystals. The formation process of 40Ca+Coulomb crystals in a linear trap is simulated. With the micromotion and secular motion trajectories of each ion, we calculate the temperature of Coulomb crystal and the average velocity of specific ions. It’s observed that the crystal structure exhibits obvious layering phenomenon when the trapped ions yield a large difference in their charge-to-mass ratio (CMR), however, layering is not obvious with a small difference in the CMR. In addition, we simulate and compare the Coulomb crystal structure formed by pure 40Ca+ ions and that formed by 40Ca+ ions mixed with a small number of dark ions including isotopic ions (44Ca+) and impurity ions (CaH+). Three different cases are investigated, namely the 1D ion string, 2D plane structure and 3D helical structure. Results show that ions in the neighborhood of a dark ion exhibit around micron-order position changes compared to their positions before the dark ion is formed. Such a change can be measured in experiment through microscopic imaging, providing a way to identify dark ions in Column crystals with a large number of ions.

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Section: 值得一提的是在离子阱实验中经常遇到的暗离子unclassified

Simulation of Coulomb crystal structure and motion trajectory of calcium ions in linear ion trap

Zhang¹,

Zhou²,

Shen³

et al. 2023

Acta Phys. Sin.

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“…On the other hand, in reality there are higher-order terms in the potentials that will couple the Z-coordinate also to the relative motion in the bath. Since the dynamics depends strongly on the initial state, the impurity can be used as a probe to reconstruct the motional state of the Z-variable, similar to a sympathetic tomography [46]. The effect of a weak coupling to the environment might be studied using the master equation approach (cf.…”

Section: Spectrummentioning

confidence: 99%

“…We would like to thank Klaus Mølmer for referring to ref. [46]. This work has been supported by the Humboldt Foundation, the Deutsche Forschungsgemeinschaft (VO 2437/1-1) and the Ingenium organization of TU Darmstadt (AGV); the Aarhus University Research Foundation (NLH); the Danish Council for Independent Research and the DFF Sapere Aude program (NTZ).…”

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confidence: 99%

A solvable model for decoupling of interacting clusters

Volosniev¹,

Jensen²,

Harshman³

et al. 2019

EPL

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We consider M clusters of interacting particles, whose in-group interactions are arbitrary, and inter-group interactions are approximated by oscillator potentials. We show that there are masses and frequencies that decouple the in-group and inter-group degrees of freedom, which reduces the initial problem to M independent problems that describe each of the relative in-group systems. The dynamics of the M center-of-mass coordinates is described by the analytically solvable problem of M coupled harmonic oscillators. This paper derives and discusses these decoupling conditions. Furthermore, to illustrate our findings, we consider a charged impurity interacting with a ring of ions. We argue that the impurity can be used to probe the center-of-mass dynamics of the ions.

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“…by the Wigner function, or in terms of superpositions of the quantized energy eigenstates of the harmonic oscillator, the number or Fock states [23]. The generation, control [24,25,26] and measurement [27,28,29] of vibrational modes have been approached in the recent literature in various ways: by entangling them with optical resonator modes [30], using them as equivalent models for the study of vibrational states of optomechanical systems [31], by generating exotic quantum states [32,33], or by implementing quantum simulations of solid state systems [34,35,36].…”

Section: Introductionmentioning

confidence: 99%

Continuous variables quantum computation over the vibrational modes of a single trapped ion

Ortiz-Gutiérrez

Gabrielly

Muñoz

et al. 2017

Optics Communications

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We consider the quantum processor based on a chain of trapped ions to propose an architecture wherein the motional degrees of freedom of trapped ions (position and momentum) could be exploited as the computational Hilbert space. We adopt a continuous-variables approach to develop a toolbox of quantum operations to manipulate one or two vibrational modes at a time. Together with the intrinsic non-linearity of the qubit degree of freedom, employed to mediate the interaction between modes, arbitrary manipulation and readout of the ionic wave function could be achieved.

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Sympathetic Wigner-function tomography of a dark trapped ion

Cited by 4 publications

References 38 publications

Simulation of Coulomb crystal structure and motion trajectory of calcium ions in linear ion trap

Simulation of Coulomb crystal structure and motion trajectory of calcium ions in linear ion trap

A solvable model for decoupling of interacting clusters

Continuous variables quantum computation over the vibrational modes of a single trapped ion

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