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Trapped ions have emerged as one of the highest quality platforms for the quantum simulation of interacting spin models of interest to various fields of physics. In such simulators, two effective spins can be made to interact with arbitrary…

Quantum Physics · Physics 2019-10-08 Yi Hong Teoh , Marina Drygala , Roger G. Melko , Rajibul Islam

Trapped ions arranged in Coulomb crystals provide us with the elements to study the physics of a single spin coupled to a boson bath. In this work we show that optical forces allow us to realize a variety of spin-boson models, depending on…

Quantum Physics · Physics 2009-11-13 D. Porras , F. Marquardt , J. von Delft , J. I. Cirac

Quantum simulation of interacting many-body spin systems is routinely performed with cold trapped ions, and systems with hundreds of spins have been studied in one and two dimensions. In the most common realizations of these platforms, spin…

Quantum Physics · Physics 2026-01-06 Wilson S. Martins , Markus Hennrich , Ferdinand Schmidt-Kaler , Igor Lesanovsky

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

The local phonon modes in a Coulomb crystal of trapped ions can represent a Hubbard system of coupled bosons. We selectively prepare single excitations at each site and observe free hopping of a boson between sites, mediated by the…

Quantum Physics · Physics 2018-02-21 S. Debnath , N. M. Linke , S. -T. Wang , C. Figgatt , K. A. Landsman , L. -M. Duan , C. Monroe

Trapped ions excited to high-lying electronic states combine strongly coupled collective vibrational and electronic degrees of freedom with long-ranged interparticle interactions. These ingredients enable the quantum simulation of…

Atomic Physics · Physics 2026-05-27 Simon Euchner , Mathias B. M. Svendsen , Igor Lesanovsky

The implementation of holonomic quantum computation is meaningful. We can effectively resist local and collective noise in the process of physical implementation by using the advantage of non-Abelian geometric phase. In this paper, we set…

Quantum Physics · Physics 2025-05-06 Yong-Sen Chen , Jing Gao , Li-Na Ji

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

Based on the exact conditional quantum dynamics for a two-ion system, we propose an efficient {\it single-step} scheme for coherently manipulating quantum information of two trapped cold ions by using a pair of synchronous laser pulses.…

Quantum Physics · Physics 2015-06-26 L. F. Wei , Franco Nori

A boson sampler implements a restricted model of quantum computing. It is defined by the ability to sample from the distribution resulting from the interference of identical bosons propagating according to programmable, non-interacting…

We consider systems of interacting bosons confined to one-dimensional harmonic traps. In the limit of perturbatively weak two-body interactions the system exhibits several universal states that are exact solutions for a large class of…

Condensed Matter · Physics 2007-05-23 Thomas Papenbrock

The hybrid approach to quantum computation simultaneously utilizes both discrete and continuous variables which offers the advantage of higher density encoding and processing powers for the same physical resources. Trapped ions, with…

Quantum Physics · Physics 2020-05-06 H. C. J. Gan , Gleb Maslennikov , Ko-Wei Tseng , Chihuan Nguyen , Dzmitry Matsukevich

Molecules are the most demanding quantum systems to be simulated by quantum computers because of their complexity and the emergent role of quantum nature. The recent theoretical proposal of Huh et al. (Nature Photon., 9, 615 (2015)) showed…

Quantum Physics · Physics 2018-02-06 Yangchao Shen , Joonsuk Huh , Yao Lu , Junhua Zhang , Kuan Zhang , Shuaining Zhang , Kihwan Kim

Vibrational degrees of freedom in trapped-ion systems have recently been gaining attention as a quantum resource, beyond the role as a mediator for entangling quantum operations on internal degrees of freedom, because of the large available…

Quantum Physics · Physics 2021-07-01 Wentao Chen , Jaren Gan , Jing-Ning Zhang , Dzmitry Matuskevich , Kihwan Kim

The ground state of a pair of ultrastrongly coupled bosonic modes is predicted to be a two-mode squeezed vacuum. However, the corresponding quantum correlations are currently unobservable in condensed matter where such a coupling can be…

Quantum Physics · Physics 2017-04-24 S. Fedortchenko , S. Felicetti , D. Marković , S. Jezouin , A. Keller , T. Coudreau , B. Huard , P. Milman

The purpose of this paper is to evaluate the possibility of constructing a large-scale storage-ring-type ion-trap system capable of storing, cooling, and controlling a large number of ions as a platform for scalable quantum computing (QC)…

Quantum Physics · Physics 2021-09-22 Timur Shaftan , Boris B. Blinov

We propose an ion trap configuration such that individual traps can be stacked together in a three dimensional simple cubic arrangement. The isolated trap as well as the extended array of ion traps are characterized for different locations…

Atomic Physics · Physics 2011-12-30 K. Ravi , Seunghyun Lee , Arijit Sharma , Tridib Ray , G. Werth , S. A. Rangwala

Hybrid quantum systems integrate laser-cooled trapped ions and ultracold quantum gases within a single experimental configuration, offering vast potential for applications in quantum chemistry, polaron physics, quantum information…

Atomic Physics · Physics 2024-10-25 Abasalt Bahrami , Ferdinand Schmidt-Kaler

In this paper we develop a unified framework to study the coherent control of trapped ions subject to state-dependent forces. Taking different limits in our theory, we can reproduce two different designs of a two-qubit quantum gate --the…

Quantum Physics · Physics 2007-05-23 J. J. Garcia-Ripoll , P. Zoller , J. I. Cirac

Quantum field theories describe a wide variety of fundamental phenomena in physics. However, their study often involves cumbersome numerical simulations. Quantum simulators, on the other hand, may outperform classical computational…

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