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The quadrupole linear Paul trap is one of the key instruments in building highly stable atomic clocks. However, a frequency reference based on a single trapped ion is limited in stability due to the time needed for the interrogation cycle…

Instrumentation and Detectors · Physics 2021-12-07 Martin Oral , Lukáš Slodička , Ondřej Číp

Shuttling ions at high speed and with low motional excitation is essential for realizing fast and high-fidelity algorithms in many trapped-ion based quantum computing architectures. Achieving such performance is challenging due to the…

Putting several hard balls into a two-dimensional bowl can form a very basic two-dimensional model of hard-ball system. When the two-dimensional bowl has a parallel-rotation at a uniform speed around a center, when the number of balls is…

Physics Education · Physics 2024-07-10 T. Z. Lin

We consider the system of a two ball automatic dynamic balancer attached to a rotating disc with nonconstant angular velocity. We directly compare the scenario of constant angular velocity with that when the acceleration of the rotor is…

Chaotic Dynamics · Physics 2022-05-31 James A Wright , Linyu Peng

The motion of an ion in a radiofrequency (rf) Paul trap is described by the Mathieu equation and the associated stability parameters that are proportional to the rf and dc electric field gradients. Here, a higher-order, iterative method to…

Atomic Physics · Physics 2022-09-30 T. Lindvall , K. J. Hanhijärvi , T. Fordell , A. E. Wallin

The motion of charged particles can be interfaced with electric circuitry via the current induced in nearby pick-up electrodes. Here we show how the rotational and translational dynamics of levitated objects with arbitrary charge…

Quantum Physics · Physics 2021-10-11 Lukas Martinetz , Klaus Hornberger , Benjamin A. Stickler

We study the dynamical response of a circularly-driven rigid body, focusing on the description of intrinsic rotational behavior (reverse rotations). The model system we address is integrable but nontrivial, allowing for qualitative and…

Classical Physics · Physics 2009-11-13 Fernando Parisio

We show how an ion trap, configured for the coherent manipulation of external and internal quantum states, can be used to simulate the irreversible dynamics of a collective angular momentum model known as the Dicke model. In the special…

Quantum Physics · Physics 2013-05-29 S. Schneider , G. J. Milburn

The dynamics of a rigid, rotating, precessing, massive ring orbiting a point mass within the perimeter of the ring are considered. It is demonstrated that orbits dynamically stable against perturbations in three dimensions exist for a range…

Classical Physics · Physics 2014-12-08 Edward D. Rippert

We engineer the fast rotation of a quantum particle confined in an effectively one-dimensional, harmonic trap, for a predetermined rotation angle and time, avoiding final excitation. Different schemes are proposed with different speed…

Quantum Physics · Physics 2016-08-03 M. Palmero , Shuo Wang , D. Guéry-Odelin , Jr-Shin Li , J. G. Muga

We realize fast transport of ions in a segmented micro-structured Paul trap. The ion is shuttled over a distance of more than 10^4 times its groundstate wavefunction size during only 5 motional cycles of the trap (280 micro meter in 3.6…

Trapping of microparticles and aerosols is of great interest for physics and chemistry. We report microparticle trapping in multipole linear Paul trap geometries, operating under Standard Ambient Temperature and Pressure (SATP) conditions.…

Trapped ions boast long coherence times and excellent gate fidelities, making them a useful platform for quantum information processing. Scaling to larger numbers of ion qubits in RF Paul traps demands great effort. Another technique for…

Quantum Physics · Physics 2022-05-03 Anthony M. Polloreno , Ana Maria Rey , John J. Bollinger

The quadrupole interaction between the Rydberg electronic states of a Rydberg ion and the radio frequency electric field of the ion trap is analyzed. Such a coupling is negligible for the lowest energy levels of a trapped ion but it is…

Quantum Physics · Physics 2019-02-05 Lachezar S. Simeonov , Nikolay V. Vitanov , Peter A. Ivanov

Control of a hybrid dynamical system can manifest in one of two main ways: either through the continuous or the discrete dynamics. An example of controls influencing the continuous dynamics is legged locomotion, where the joints are…

Optimization and Control · Mathematics 2022-03-29 William Clark , Dora Kassabova

We study the ions dynamics inside an Electrostatic Ion Beam Trap (EIBT) and show that the stability of the trapping is ruled by a Hill's equation. This unexpectedly demonstrates that an EIBT, in the reference frame of the ions works very…

Atomic Physics · Physics 2013-07-26 Alexandre Vallette , Csilla Szabo Foster , Paul Indelicato

We present a protocol for using trapped ions to measure rotations via matter-wave Sagnac interferometry. The trap allows the interferometer to enclose a large area in a compact apparatus through repeated round-trips in a Sagnac geometry. We…

Atomic Physics · Physics 2017-02-08 W. C. Campbell , P. Hamilton

Trapped atomic ions are among the most advanced platforms for quantum simulation, computation, and metrology, offering long coherence times and precise, individual control over both internal and motional degrees of freedom. In this review,…

Quantum Physics · Physics 2026-02-18 Guido Pagano , Wojciech Adamczyk , Visal So

Simulations of the dynamics of ions trapped in a Paul trap with terms in the potential up to the order 10 have been carried out. The power series method is used to solve numerically the equations of motion of the ions. The stability diagram…

Atomic Physics · Physics 2014-06-27 M. S. Herbane , H. Berriche , A. A. El-Hady , G. Al Shahrani , G. Ban , X. Flechard , E. Lienard

We describe the operation of an electrodynamic ion trap in which the electric quadrupole field oscillates at two frequencies. This mode of operation allows simultaneous tight confinement of ions with extremely different charge-to-mass…

Instrumentation and Detectors · Physics 2023-07-20 C. J. Foot , D. Trypogeorgos , E. Bentine , A. Gardner , M. Keller