The physics and applications of strongly coupled Coulomb systems (plasmas) levitated in electrodynamic traps

Mihalcea, Bogdan M.; Филинов, В. С.; Syrovatka, R. A.; Vasilyak, L. M.

doi:10.1016/j.physrep.2023.03.004

Cited by 13 publications

(7 citation statements)

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“…This pursuit led to the development of radically new methods aimed at confining atomic and subatomic particles, which resulted in the maturation of optical tweezers, ion trap or magneto-optical (MOT) trap based techniques (including optical lattices) [20,[33][34][35]. Prof. W. Paul had the idea of using a rotating or vibrating saddle-like electrostatic potential to confine ions or electrically charged particles [28,36] within a well defined area, under conditions of dynamical equilibrium [37,38]. Ion dynamics in a Paul (or RF) trap is characterized by a Mathieu-Hill type equation [20,39].…”

Section: Of 36mentioning

confidence: 99%

“…Particle dynamics in a nonlinear quadrupole Paul trap with octopole anharmonicity (which is a well-known dissipative system [38,124]), is described by a NME [4,125] which includes all perturbing contributions such as: damping, multipole terms of the potential and a harmonic excitation force (periodic kicking). To complicate the picture even more, the ion also undergoes interaction with a laser field [126], in presence of contributions from the hexapole and octopole fields that superpose over the harmonic trap potential.…”

Section: Of 36mentioning

confidence: 99%

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Mathieu-Hill Equation Stability Analysis for Trapped Ions. Anharmonic Corrections for Nonlinear Electrodynamic Traps

Mihalcea

2024

Preprint

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The stability properties of the Hill equation are discussed, and especially those of the Mathieu equation that characterize ion motion in electrodynamic traps. The solutions of the Mathieu equation for a trapped ion are characterized by using the Floquet theory and Hill's Method solution, which yields an infinite system of linear and homogeneous equations whose coefficients are recursively determined. Stability is discussed for parameters $a$ and $q$ that are real. Characteristic curves are introduced naturally by the Sturm-Liouville problem for the well known even and odd Mathieu equations $ce_m(z,q)$ and $se_m(z,q)$. We illustrate the stability diagram for a combined (Paul and Penning) trap and represent the frontiers of the stability domains for axial and radial motion. In case of a Paul trap the stable solution corresponds to a superposition of harmonic motions. The problem of evaluating the maximum amplitudes of stable oscillations for the ideal conditions (taken into consideration) is also approached. Anharmonic corrections are discussed within the frame of the perturbation theory, while the frontiers of the modified stability domains are determined as a function of the chosen perturbation parameter. The results apply to 2D and 3D ion traps used for different applications in quantum engineering, among which optical clocks, quantum logic and quantum metrology, but not restricted only to these.

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Section: Of 36mentioning

confidence: 99%

Section: Of 36mentioning

confidence: 99%

Mathieu-Hill Equation Stability Analysis for Trapped Ions. Anharmonic Corrections for Nonlinear Electrodynamic Traps

Mihalcea

2024

Preprint

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“…2. An identification Provider (IdP) is an entity responsible for verifying the identification The motivation behind the proposed scheme has its roots in one sensitive case study that we experienced lately during the examination of some results achieved by our colleagues and collaborators in the field of physics [181][182][183][184][185][186][187][188][189][190][191][192][193][194][195][196][197][198]. During their experiments and due to the software used for achieving the proper results, we observed that the access control was not properly configured for the applications, most of which being related to physics, materials science experiment devices, plasma research and development using PlasmaPy and Python, and computational techniques within these fields (which requires a certain level of protection and restriction in such way that not everyone should have access to them).…”

Section: The Proposed Verifiable Credentials Authentication Schemementioning

confidence: 99%

A Novel Authentication Scheme Based on Verifiable Credentials Using Digital Identity in the Context of Web 3.0

Nita,

Mihailescu

2024

Electronics

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This paper explores the concept of digital identity in the evolving landscape of Web 3.0, focusing on the development and implications of a novel authentication scheme using verifiable credentials. The background sets the stage by placing digital identity within the broad context of Web 3.0′s decentralized, blockchain-based internet, highlighting the transition from earlier web paradigms. The methods section outlines the theoretical framework and technologies employed, such as blockchain, smart contracts, and cryptographic algorithms. The results summarize the main findings, including the proposed authentication scheme’s ability to enhance user control, security, and privacy in digital interactions. Finally, the conclusions discuss the broader implications of this scheme for future online transactions and digital identity management, emphasizing the shift towards self-sovereignty and reduced reliance on centralized authorities.

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“…Charged particles in ion traps represent a non-linear dynamical system [1,2]. The atomic ion in a multipole trap can posses both quasi-periodic and chaotic dynamics regime.…”

Section: Introductionmentioning

confidence: 99%

Hoeffding’s independence test for an ion dynamics characterization in the octupole trap

Rudyi,

Shcherbinin,

Rybin

et al. 2024

J. Phys.: Conf. Ser.

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In the present work, we propose a rapid analysis of the trapped ion dynamics regimes. The Hoeffding’s Independence Test (HIT) mapping technique has been considered as a promising approach for the detection of dynamic regimes. As a model problem, we have applied the proposed method to ion dynamics in an octupole ion trap. We compare the results of HIT mapping with the results of direct calculation of the non-trivial Lyapunov exponent. The HIT mapping result well agree with a Lyapunov exponent mapping. The computational time for plotting the HIT maps was significantly less than the computational time for plotting the Lyapunov exponent maps.

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The physics and applications of strongly coupled Coulomb systems (plasmas) levitated in electrodynamic traps

Cited by 13 publications

References 392 publications

Mathieu-Hill Equation Stability Analysis for Trapped Ions. Anharmonic Corrections for Nonlinear Electrodynamic Traps

Mathieu-Hill Equation Stability Analysis for Trapped Ions. Anharmonic Corrections for Nonlinear Electrodynamic Traps

A Novel Authentication Scheme Based on Verifiable Credentials Using Digital Identity in the Context of Web 3.0

Hoeffding’s independence test for an ion dynamics characterization in the octupole trap

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