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The realization of a paradigm chaotic system, namely the harmonically driven oscillator, in the quantum domain using cold trapped ions driven by lasers is theoretically investigated. The simplest characteristics of regular and chaotic…

Quantum Physics · Physics 2009-10-31 G. P. Berman , D. F. V. James , R. J. Hughes , M. S. Gulley , M. H. Holzscheiter , G. V. Lopez

In trapped ion system, accurate thermometry of ion is crucial for evaluating the system state and precisely performing quantum operations. However, when the motional state of a single ion is far away from the ground state, the spatial…

Quantum Physics · Physics 2024-03-01 Yi Tao , Ting Chen , Yi Xie , Hongyang Wang , Jie Zhang , Ting Zhang , Pingxing Chen , Wei Wu

Very long, one-dimensional (1D) ion chains are the basis for many applications, in particular in quantum information processing and reliable diagnostics are needed to quantify them. To that purpose, we have experimentally validated Dubin's…

The spin-boson model is a prototypical model for open quantum dynamics. Here we simulate the spin-boson model using a chain of trapped ions where a spin is coupled to a structured reservoir of bosonic modes. We engineer the spectral density…

We consider a pair of atoms in an arbitrary trapping potential in the presence of magnetically tunable Feshbach resonance. We find the energy levels and occupation of the bound molecular states taking into account possible coupling between…

Quantum Gases · Physics 2013-04-17 Krzysztof Jachymski , Zbigniew Idziaszek , Tommaso Calarco

We present designs for multipole ion traps based on a set of planar, annular, concentric electrodes which require only rf potentials to confine ions. We illustrate the desirable properties of the traps by considering a few simple cases of…

Atomic Physics · Physics 2015-06-05 Robert J. Clark

We show that the vibrations of a chain of trapped ions offer an interesting route to explore the physics of disordered quantum systems. By preparing the internal state of the ions in a quantum superposition, we show how the local…

Quantum Physics · Physics 2011-04-15 A. Bermudez , M. A. Martin-Delgado , D. Porras

We investigate the dynamical properties of anyons confined in one-dimensional optical lattice combined with a weak harmonic trap using the exact numerical method based on a generalized Jordan-Wigner transformation. The density profiles,…

Quantum Gases · Physics 2013-12-19 Yajiang Hao , Shu Chen

A method for the experimental reconstruction of the quantum state of motion for a single trapped ion is proposed. It is based on the measurement of the ground state population of the trap after a sudden change of the trapping potential. In…

atom-ph · Physics 2009-10-28 J. F. Poyatos , R. Walser , J. I. Cirac , P. Zoller , R. Blatt

The vibrations of a chain of trapped ions can be considered, under suitable experimental conditions, as an ensemble of interacting phonons, whose quantum dynamics is governed by a Bose--Hubbard Hamiltonian. In this work we study the quantum…

Quantum Physics · Physics 2009-11-13 X. -L. Deng , D. Porras , J. I. Cirac

Magnetically induced coherent population trapping has been studied in a single trapped laser cooled ion. The magnetic field dependent narrow spectral feature is found to be an useful tool in determining the null point of magnetic field at…

Quantum Physics · Physics 2018-03-28 Swarup Das , Peiliang Liu , Benoit Grémaud , Manas Mukherjee

Trapped ions are among the leading candidates for quantum computing technologies. Interfacing ion qubits in separate traps and interfacing ion qubits with superconducting qubits are two of the many challenges to scale up quantum computers.…

Quantum Physics · Physics 2021-06-01 Noah Van Horne , Manas Mukherjee

We present a two particle model to explain the mechanism that stabilizes a bunch of positively charged ions in an "ion trap resonator" [Pedersen etal, Phys. Rev. Lett. 87 (2001) 055001]. The model decomposes the motion of the two ions into…

Atomic Physics · Physics 2009-11-07 Tihamer Geyer , David J. Tannor

In Penning traps electromagnetic forces are used to confine charged particles under well-controlled conditions for virtually unlimited time. Sensitive detection methods have been developed to allow observation of single stored ions. Various…

Atomic Physics · Physics 2022-03-16 Klaus Blaum , Sergey Eliseev , Sven Sturm

Linear strings of trapped atomic ions held in radio-frequency (rf) traps constitute one of the leading platforms for quantum simulation experiments, allowing for the investigation of interacting quantum matter. However, linear ion strings…

We report on the design and experimental characterization of a surface-electrode multipole ion trap. Individual microscopic sugar particles are confined in the trap. The trajectories of driven particle motion are compared with a theoretical…

We present a self-contained operator-based approach to derive the spectrum of trapped ions. This approach provides the complete normal form of the low energy quadratic Hamiltonian in terms of bosonic phonons, as well as an effective free…

Quantum Physics · Physics 2016-12-28 Ulf Bissbort , Walter Hofstetter , Dario Poletti

We examine the time-dependent dynamics of ion crystals in radiofrequency traps. The problem of stable trapping of general three-dimensional crystals is considered and the validity of the pseudopotential approximation is discussed. We derive…

Quantum Physics · Physics 2012-10-30 H. Landa , M. Drewsen , B. Reznik , A. Retzker

Linear arrays of trapped and laser cooled atomic ions are a versatile platform for studying emergent phenomena in strongly-interacting many-body systems. Effective spins are encoded in long-lived electronic levels of each ion and made to…

A detailed analysis of the classical nonlinear dynamics of a single driven square potential barrier with harmonically oscillating position is performed. The system exhibits dynamical trapping which is associated with the existence of a…

Chaotic Dynamics · Physics 2009-01-05 Florian R. N. Koch , Florian Lenz , Christoph Petri , Fotis K. Diakonos , Peter Schmelcher