Quench dynamics of two coupled zig-zag ion chains

Klumpp, Andrea; Liebchen, Benno; Schmelcher, Peter

doi:10.1016/j.physleta.2016.06.012

Cited by 3 publications

(7 citation statements)

References 52 publications

(46 reference statements)

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“…We observe a non-smooth (step-like) dependence of the time instant at which an arbitrary ion passes above the barrier on the quench amplitude, relating to the oscillation frequencies of the ion closest to the barrier, as well as to the collective center-of-mass motion of both crystals. After an ion transfer the smaller crystal melts due to the mass and energy excess a fact depicted nicely in the behaviour of the so-called Voronoi measure [46,47] of the crystal.…”

Section: Introductionmentioning

confidence: 86%

“…give visually the impression of order lead to distinct minima in the time evolution of the Voronoi measure, whereas irregular structures lead to larger values of Ω(t) [46].…”

Section: B Crystalline Ordermentioning

confidence: 99%

“…The ion transfer processes discussed above yield a complex non-equilibrium dynamics of the two resulting Coulomb crystals involving reordering processes and the emergence of structural disorder. In order to characterize and analyze the order of the resulting crystals we make use of a measure based on the Voronoi diagrams introduced in [46,47]. The time evolution of this measure has been proven to capture well the change in the crystalline order during the dynamics [46].…”

Section: B Crystalline Ordermentioning

confidence: 99%

“…In order to characterize and analyze the order of the resulting crystals we make use of a measure based on the Voronoi diagrams introduced in [46,47]. The time evolution of this measure has been proven to capture well the change in the crystalline order during the dynamics [46].…”

Section: B Crystalline Ordermentioning

confidence: 99%

“…Focusing on the case of the double-well trapping potential, the long-range inter-and intra-well interactions among the Wigner crystals occupying each potential well give rise to a very complex non-equilibrium dynamics. In particular for a symmetric population of the two wells, we have recently shown [46] that a quench in the barrier height induces interesting nonlinear dynamics, involving both regular and irregular phases of motion. Here we extend this study to the case of an asymmetric population of the double well potential.…”

Section: Introductionmentioning

confidence: 99%

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Dynamical ion transfer between coupled Coulomb crystals in a double-well potential

2017

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We investigate the nonequilibrium dynamics of coupled Coulomb crystals of different sizes trapped in a double well potential. The dynamics is induced by an instantaneous quench of the potential barrier separating the two crystals. Due to the intra- and intercrystal Coulomb interactions and the asymmetric population of the potential wells, we observe a complex reordering of ions within the two crystals as well as ion transfer processes from one well to the other. The study and analysis of the latter processes constitutes the main focus of this work. In particular, we examine the dependence of the observed ion transfers on the quench amplitude performing an analysis for different crystalline configurations ranging from one-dimensional ion chains via two-dimensional zigzag chains and ring structures to three-dimensional spherical structures. Such an analysis provides us with the means to extract the general principles governing the ion transfer dynamics and we gain some insight on the structural disorder caused by the quench of the barrier height.

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Section: Introductionmentioning

confidence: 86%

“…give visually the impression of order lead to distinct minima in the time evolution of the Voronoi measure, whereas irregular structures lead to larger values of Ω(t) [46].…”

Section: B Crystalline Ordermentioning

confidence: 99%

Section: B Crystalline Ordermentioning

confidence: 99%

Section: B Crystalline Ordermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Dynamical ion transfer between coupled Coulomb crystals in a double-well potential

2017

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Tracking the extensive three-dimensional motion of single ions by an engineered point-spread function

Zhou,

Zhang,

et al. 2024

Nat Commun

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Three-dimensional (3D) imaging of individual atoms is a critical tool for discovering new physical phenomena and developing new technologies in microscopic systems. However, the current single-atom-resolved 3D imaging methods are limited to static circumstances or a shallow detection range. Here, we demonstrate a generic dynamic 3D imaging method to track the extensive motion of single ions by exploiting the engineered point-spread function (PSF). We show that the image of a single ion can be engineered into a helical PSF, thus enabling single-snapshot acquisition of the position information of the ion in the trap. A preliminary application of this technique is demonstrated by recording the 3D motion trajectory of a single trapped ion and reconstructing the 3D dynamical configuration transition between the zig and zag structures of a 5-ion crystal. This work opens the path for studies on single-atom-resolved dynamics in both trapped-ion and neutral-atom systems.

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Determining spatial structures of ion crystals by simulated annealing method

Wu¹,

Wu²,

Li³

et al. 2017

Chinese Phys. B

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Calculating the spatial structures of ion crystals is important in ion-trapped quantum computation. Here we demonstrate that the simulated annealing method is a powerful tool to evaluate the structures of ion crystals. By calculating equilibrium positions of 10 ions under harmonic potential and those of 120 ions under anharmonic potential, both with the standard procedure and simulated annealing method, we find that the standard procedure to evaluate spatial structures is complicated and may be inefficient in some cases, and that the simulated annealing method is more favorable.

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Quench dynamics of two coupled zig-zag ion chains

Cited by 3 publications

References 52 publications

Dynamical ion transfer between coupled Coulomb crystals in a double-well potential

Dynamical ion transfer between coupled Coulomb crystals in a double-well potential

Tracking the extensive three-dimensional motion of single ions by an engineered point-spread function

Determining spatial structures of ion crystals by simulated annealing method

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