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When an ion confined in a linear ion trap interacts with a coherent laser field, the internal degrees of freedom, related to the electron transitions, couple to the vibrational degree of freedom of the ion. As a result of this interaction,…

Quantum Physics · Physics 2009-11-06 G. P. Berman , A. R. Bishop , D. F. V. James , R. J. Hughes , D. I. Kamenev

We present the dynamics of a single harmonically trapped ion interacting with a laser, considering a linear combination of two eigenstates of the system as the initial state. The conditions on the physical parameters that allow for the…

Quantum Physics · Physics 2024-12-23 M. A. García-Márquez , H. M. Moya-Cessa , I. Ramos-Prieto , F. Soto-Eguibar

We propose and demonstrate a scalable scheme for the simultaneous determination of internal and motional states in trapped ions with single-site resolution. The scheme is applied to the study of polaritonic excitations in the Jaynes-…

Quantum Physics · Physics 2021-12-15 Silpa Muralidharan , Ryutaro Ohira , Shota Kume , Kenji Toyoda

We propose an architecture and methodology for large-scale quantum simulations using hyperfine states of trapped-ions in an arbitrary-layout microtrap array with laserless interactions. An ion is trapped at each site, and the electrode…

Quantum Physics · Physics 2008-03-13 J. Chiaverini , W. E. Lybarger

In this work we study the interaction of trapped ions with a state-dependent, high-intensity optical lattice formed above an ion trap chip using integrated photonics. We use a single ion to map the optical potential landscape over many…

Atomic Physics · Physics 2024-11-06 Alfredo Ricci Vasquez , Carmelo Mordini , Daniel Kienzler , Jonathan Home

The control of internal and motional quantum degrees of freedom of laser cooled trapped ions has been subject to intense theoretical and experimental research for about three decades. In the realm of quantum information science the ability…

Quantum Physics · Physics 2015-05-13 Michael Johanning , Andres Varon , Christof Wunderlich

We propose an efficient method to produce multi-particle entangled states of ions in an ion trap for which a wide range of interesting effects and applications have been suggested. Our preparation scheme exploits the collective vibrational…

Quantum Physics · Physics 2009-10-31 Klaus Molmer , Anders Sorensen

We show how to create quantum gates of arbitrary speed between trapped ions, using a laser walking wave, with complete insensitivity to drift of the optical phase, and requiring cooling only to the Lamb-Dicke regime. We present pulse…

Quantum Physics · Physics 2015-06-18 A M Steane , G Imreh , J P Home , D. Leibfried

Laser-cooled and trapped atomic ions form an ideal standard for the simulation of interacting quantum spin models. Effective spins are represented by appropriate internal energy levels within each ion, and the spins can be measured with…

We explore and develop the mathematics of the two multi-level ions. In particular, we describe some new features of quantum entanglement in two three-level trapped ions confined in a one-dimensional harmonic potential, allowing the…

Quantum Physics · Physics 2009-11-13 Mahmoud Abdel-Aty , Ting Yu

Trapped ions are among the leading platforms for quantum technologies, particularly in the field of quantum computing. Detecting states of trapped ions is essential for ensuring high-fidelity readouts of quantum states. In this work, we…

The beam-ion interaction is a potential limitation of beam performance in electron accelerators, especially where the beam emittance is of a great concern in future ultra-low emittance light source. "Conventionally", the beam instability…

Accelerator Physics · Physics 2020-07-15 Chao Li , Saike Tian , Na Wang , Haisheng Xu

We present a theoretical study of fast all-to-all entangling gates in trapped-ion quantum processors, based on impulsive excitation of spin-dependent motion with broadband laser pulses. Previous studies have shown that such fast gate…

We develop the theory to describe the equilibrium ion positions and phonon modes for a trapped ion quantum simulator in an oblate Paul trap that creates two-dimensional Coulomb crystals in a triangular lattice. By coupling the internal…

Quantum Physics · Physics 2014-06-24 Bryce Yoshimura , Marybeth Stork , Danilo Dadic , W. C. Campbell , J. K. Freericks

We study the stochastic dynamics of a particle in a periodically driven potential. For atomic ions trapped in radio-frequency Paul traps, noise heating and laser cooling typically act slowly in comparison with the unperturbed motion. These…

Atomic Physics · Physics 2019-05-17 A. Maitra , D. Leibfried , D. Ullmo , H. Landa

We present a robust quantum optimal control framework for implementing fast entangling gates on ion-trap quantum processors. The framework leverages tailored laser pulses to drive the multiple vibrational sidebands of the ions to create…

Quantum Physics · Physics 2022-09-21 Xiaodong Yang , Yiheng Lin , Yao Lu , Jun Li

We theoretically investigate the trap-assisted formation of complexes in atom-ion collisions and their impact on the stability of the trapped ion. The time-dependent potential of the Paul trap facilitates the formation of temporary…

Atomic Physics · Physics 2023-04-07 H. Hirzler , E. Trimby , R. Gerritsma , A. Safavi-Naini , J. Pérez-Ríos

The theory of interactions between lasers and cold trapped ions as it pertains to the design of Cirac-Zoller quantum computers is discussed. The mean positions of the trapped ions, the eigenvalues and eigenmodes of the ions' oscillations,…

Quantum Physics · Physics 2009-10-30 Daniel F. V. James

Trapped atomic ion qubits or effective spins are a powerful quantum platform for quantum computation and simulation, featuring densely connected and efficiently programmable interactions between the spins. While native interactions between…

Quantum Physics · Physics 2023-08-01 Or Katz , Marko Cetina , Christopher Monroe

In this chapter, we present an overview of experiments with trapped Rydberg ions and outline the advantages and challenges of developing applications of this new platform for quantum computing, sensing and simulation. Trapped Rydberg ions…

Quantum Physics · Physics 2020-07-28 Arezoo Mokhberi , Markus Hennrich , Ferdinand Schmidt-Kaler