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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…

量子物理 · 物理学 2015-06-19 Vittorio Penna , Francesco Raffa

We showed that in Lamb-Dicke regime and under rotating wave approximation, the dynamical behavior of two trapped ions interacting with a laser beam resonant to the first red side-band of center-of-mass mode can be described by…

量子物理 · 物理学 2007-05-23 Hao-Sheng Zeng , Le-Man Kuang , Ke-Lin Gao

We consider a single ion confined in a trap under radiation of two traveling waves of lasers. In the strong-excitation regime and without the restriction of Lamb-Dicke limit, the Hamiltonian of the system is similar to a driving…

量子物理 · 物理学 2009-11-13 T. Liu , K. L. Wang , M. Feng

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…

量子物理 · 物理学 2015-06-26 Hao-Sheng Zeng

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…

We show that, under certain combinations of the parameters governing the interaction of a harmonically trapped ion with a laser beam, it is possible to find one or more exact eigenstates of the Hamiltonian, with no approximations except the…

量子物理 · 物理学 2013-03-13 H. Moya-Cessa , D. Jonathan , P. L. Knight

The Hamiltonian describing a single ion placed in a potential trap in interaction with a laser beam is studied by means of a suitable perturbative approach. It is shown, in particular, that the rotating wave approximation does not provide…

量子物理 · 物理学 2007-05-23 P. Aniello , V. Man'ko , G. Marmo , A. Porzio , S. Solimeno , F. Zaccaria

In this paper, we generalize the ordinary two-photon Jaynes-Cummings model (TPJCM) by considering the atom (or ion) to be trapped in a simple harmonic well. A typical setup would be an optical cavity containing a single ion in a Paul trap.…

量子物理 · 物理学 2009-11-13 F. L. Semião , A. Vidiella-Barranco

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…

量子物理 · 物理学 2013-03-13 H. Moya-Cessa , A. Vidiella-Barranco , J. A. Roversi , S. M. Dutra

Isolating neutral and charged particles from the environment is essential in precision experiments. For decades, this has been achieved by trapping ions with radio-frequency (rf) fields and neutral particles with optical fields. Recently,…

原子物理 · 物理学 2021-05-05 Tobias Schaetz

In this contribution we investigate the interaction of a single ion in a trap with laser beams. Our approach, based on unitary transformating the Hamiltonian, allows its exact diagonalization without performing the Lamb-Dicke approximation.…

We propose the quantum simulation of the quantum Rabi model in all parameter regimes by means of detuned bichromatic sideband excitations of a single trapped ion. We show that current setups can reproduce, in particular, the ultrastrong and…

量子物理 · 物理学 2015-10-21 J. S. Pedernales , I. Lizuain , S. Felicetti , G. Romero , L. Lamata , E. Solano

We report on three-dimensional optical trapping of single ions in an optical lattice formed by two counter-propagating laser beams. We characterize the trapping parameters of the standing wave using the ion as a sensor stored in a hybrid…

原子物理 · 物理学 2015-06-11 Martin Enderlein , Thomas Huber , Christian Schneider , Tobias Schaetz

We study the nonlinear dynamics of trapped-ion models far away from the Lamb-Dicke regime. This nonlinearity induces a sideband cooling blockade, stopping the propagation of quantum information along the Hilbert space of the Jaynes-Cummings…

In quantum interaction problems with explicitly time-dependent interaction Hamiltonians, the time ordering plays a crucial role for describing the quantum evolution of the system under consideration. In such complex scenarios, exact…

量子物理 · 物理学 2018-04-10 Fabian Krumm , Werner Vogel

We have experimentally observed the dynamics of a single polariton and two polaritons in a two-ion chain. By driving two trapped ions at a motional blue-sideband transition, we realize the anti-Jaynes-Cummings-Hubbard model. When a single…

量子物理 · 物理学 2021-03-10 Ryutaro Ohira , Shota Kume , Hiroki Takahashi , Kenji Toyoda

We present a family of generalized unitary transformations that simplifies the Hamiltonian for a harmonically trapped two level atom (or ion) interacting with a plane wave laser field. Novel near resonant single as well as double…

统计力学 · 物理学 2007-05-23 Özgür E. Müstecaplıoğlu , L. You

Trapped ion in the Lamb-Dicke regime with the Lamb-Dicke parameter $\eta\ll1$ can be cooled down to its motional ground state using sideband cooling. Standard sideband cooling works in the weak sideband coupling limit, where the sideband…

量子物理 · 物理学 2021-04-30 Shuo Zhang , Jian-Qi Zhang , Wei Wu , Wan-Su Bao , Chu Guo

We propose a new dark-state cooling method of trapped ion systems in the Lamb-Dicke limit. With application of microwave dressing the ion, we can obtain two electromagnetically induced transparency structures. The heating effects caused by…

We theoretically study trapped ions that are immersed in an ultracold gas of Rydberg-dressed atoms. By off-resonant coupling on a dipole-forbidden transition, the adiabatic atom-ion potential can be made repulsive. We study the energy…

原子物理 · 物理学 2017-06-30 T. Secker , N. Ewald , J. Joger , H. Fürst , T. Feldker , R. Gerritsma
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