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We present an in-depth study of the non-equilibrium statistics of the irreversible work produced during sudden quenches in proximity to the structural linear-zigzag transition of ion Coulomb crystals in 1+1 dimensions. By employing both an…

Quantum Physics · Physics 2017-06-23 F. Cosco , M. Borrelli , P. Silvi , S. Maniscalco , G. De Chiara

We study the counterpart to the multi-photon down conversion in the quantised motion of a trapped atom. The Lamb-Dicke approximation leads to a divergence of the mean motional excitation in a finite interaction time for k-quantum down…

Quantum Physics · Physics 2016-09-08 S. Wallentowitz , W. Vogel , P. L. Knight

We propose a scheme to investigate the nonequilibrium work distribution of a quantum particle under well controlled transformations of the external potential, exploiting the versatility of a single ion in a segmented linear Paul trap. We…

Quantum Physics · Physics 2009-11-13 Gerhard Huber , Ferdinand Schmidt-Kaler , Sebastian Deffner , Eric Lutz

We present a way of treating the problem of the interaction of a single trapped ion with laser beams based on successive aplications of unitary transformations onto the Hamiltonian. This allows the diagonalization of the Hamiltonian, by…

Quantum Physics · Physics 2013-03-13 H. Moya-Cessa , A. Vidiella-Barranco , J. A. Roversi , S. M. Dutra

We study laser cooling of two ions that are trapped in a harmonic potential and interact by Coulomb repulsion. Sideband cooling in the Lamb-Dicke regime is shown to work analogously to sideband cooling of a single ion. Outside the…

Quantum Physics · Physics 2014-11-18 G. Morigi , J. Eschner , J. I. Cirac , P. Zoller

We show how a nonlinear chaotic system, the parametrically kicked nonlinear oscillator, may be realised in the dynamics of a trapped, laser-cooled ion, interacting with a sequence of standing wave pulses. Unlike the original optical scheme…

Quantum Physics · Physics 2009-10-30 J. K. Breslin , C. A. Holmes , G. J. Milburn

A novel robust mechanism for the generation of "trapping states" is shown to exist in the coupling of a two-level system with an oscillator, which is based on nonlinearities in the laser-induced vibronic coupling. This mechanism is…

Quantum Physics · Physics 2007-05-23 S. Wallentowitz , W. Vogel , P. E. Toschek

The interaction of a trapped ion with a laser beam in the strong excitation regime is analyzed. In this regime, a variety of non--classical states of motion can be prepared either by using laser pulses of well defined area, or by an…

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

Trapped ions are considered one of the best candidates to perform quantum information processing. By interacting them with laser beams they are, somehow, easy to manipulate, which makes them an excellent choice for the production of…

Ion traps are a versatile tool to study nonequilibrium statistical physics, due to the tunability of dissipation and nonlinearity. We propose an experiment with a chain of trapped ions, where dissipation is provided by laser heating and…

Pattern Formation and Solitons · Physics 2011-04-06 Tony E. Lee , M. C. Cross

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

We present a second-order perturbative analysis of the model describing a two-level trapped ion interacting with a traveling laser field, in the Lamb-Dicke regime. Unlike the customary approach, based on the interaction picture and the…

Quantum Physics · Physics 2015-06-19 Vittorio Penna , Francesco Raffa

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

Optical atomic clocks based on trapped ions suffer from systematic frequency shifts of the clock transition due to interaction with blackbody radiation from the environment. These shifts can be compensated if the blackbody radiation…

Atomic Physics · Physics 2024-10-11 Fabian Wolf

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

We show that in the trapped ion-laser interaction all the regimes may be considered analytically. We may solve not only for different laser intensities, but also away from resonance and from the Lamb-Dicke regime. It is found a dispersive…

Quantum Physics · Physics 2013-03-13 A. Zúñiga-Segundo , J. M. Vargas-Martínez , R. Juárez-Amaro , H. Moya-Cessa

Nonlinear spectroscopy employs a series of laser pulses to interrogate dynamics in large interacting many-body systems, and has become a highly successful method for experiments in chemical physics. Current quantum optical experiments…

Quantum Physics · Physics 2016-10-19 Frank Schlawin , Manuel Gessner , Shaul Mukamel , Andreas Buchleitner

he dynamical properties of quantum entanglement in a time-dependent three-level-trapped ion interacting with a laser field are studied in terms of the reduced-density linear entropy considering two specific initial states of the field.…

Quantum Physics · Physics 2007-05-23 Mahmoud Abdel-Aty

A k-quantum nonlinear Jaynes-Cummings model for two trapped ions interacting with laser beams resonant to k-th red side-band of center-of-mass mode, far from Lamb-Dicke regime, has been obtained. The exact analytic solution showed the…

Quantum Physics · Physics 2015-06-26 Hao-Sheng Zeng

We propose and theoretically analyse an experimental configuration in which lasers induce 3-spin interactions between trapped ions.By properly choosing the intensities and frequencies of the lasers, 3-spin couplings may be dominant or…

Quantum Physics · Physics 2009-06-10 A. Bermudez , D. Porras , M. A. Martin-Delgado
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