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The present paper describes the experimental implementation of a measuring technique employing a slowly moving, near resonant, optical standing wave in the context of trapped ions. It is used to measure several figures of merit that are…

Quantum Physics · Physics 2015-05-28 A. Walther , U. Poschinger , K. Singer , F. Schmidt-Kaler

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

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…

Quantum Physics · Physics 2007-05-23 P. Aniello , V. Man'ko , G. Marmo , A. Porzio , S. Solimeno , F. Zaccaria

Recalling that the rotating wave approximation (RWA) is only valid in the weak coupling regimes, the purpose of this paper is to study the Hamiltonian dynamics describing the full quantum mechanical approach of the interaction between…

Quantum Physics · Physics 2021-08-17 N. Asili Firouzabadi , M. K. Tavassoly

We study the contributions of off-resonant transitions to the dynamics of a system of N multilevel atoms sharing one excitation and interacting with the quantized vector electromagnetic field. The Rotating Wave Approximation significantly…

Quantum Physics · Physics 2013-12-02 Yevhen Miroshnychenko , Klaus Mølmer

Driving quantum systems periodically in time plays an essential role in the coherent control of quantum states. The rotating wave approximation (RWA) is a good approximation technique for weak and nearly-resonance driven fields. However,…

Quantum Physics · Physics 2021-07-07 Byoung-moo Ann , Wouter Kessels , Gary. A. Steele

For studying the dynamics of a two-level system coupled to a quantum oscillator we have presented an analytical approach, the transformed rotating-wave approximation, which takes into account the effect of the counter-rotating terms but…

Quantum Physics · Physics 2015-05-13 Congjun Gan , Hang Zheng

The generalized rotating-wave approximation (GRWA) is presented for the two-qubit and cavity coipling system . The analytical expressions in the zeroth order approximation recover the previous adiabatic ones. The counterrotating-wave terms…

Quantum Physics · Physics 2015-01-14 Yu-Yu Zhang , Qing-Hu Chen

We show how some Hamiltonians may be approximated using rotating wave approximation methods. In order to achieve this we use the algebra of boson ladder operators, and transformation formulas between normal and symmetric ordering of the…

Mathematical Physics · Physics 2009-11-11 Jonas Larson , Hector Moya-Cessa

Rotating wave approximation in a quantum spin system driven by a linearly polarized alternating magnetic field with quadrupole interaction presents is investigated in detail in this paper. The conventional way to employ the rotating wave…

Quantum Physics · Physics 2020-10-16 Wenkui Ding , Xiaoguang Wang

Generalized squeezing rotating-wave approximation (GSRWA) is proposed by employing both the displacement and the squeezing transformations. A solvable Hamiltonian is reformulated in the same form as the ordinary RWA ones. For a qubit…

Quantum Physics · Physics 2016-12-21 Yu-Yu Zhang

A generalized version of the rotating-wave approximation for the single-mode spin-boson Hamiltonian is presented. It is shown that performing a simple change of basis prior to eliminating the off-resonant terms results in a significantly…

Quantum Physics · Physics 2009-11-13 E. K. Irish

Quasiclassical dynamics of trapped ions is characterized by applying the time dependent variational principle (TDVP) on coherent state orbits, in case of quadrupole and octupole combined (Paul and Penning) and radiofrequency (RF) traps. A…

Quantum Physics · Physics 2017-11-23 Bogdan M. Mihalcea

Raman interaction of a trapped ultracold ion with two traveling wave lasers has been used extensively in the ion trap experiments. We solve this interaction in the absence of the rotating wave approximation by a continued fraction, without…

Quantum Physics · Physics 2009-11-06 Mang Feng

We investigate theoretical decoherence effects of the motional degrees of freedom of a single trapped atomic/ionic electronically coded qubit. For single bit rotations from a resonant running wave laser field excitation, we found the…

Quantum Physics · Physics 2009-11-06 L. You

We study harmonically trapped one-dimensional atoms subjected to an equal combination of Rashba and Dresselhaus spin-orbit coupling induced by Raman transition. We first examine the wave function and the degeneracy of the single-particle…

Quantum Gases · Physics 2016-09-27 Chuanzhou Zhu , Lin Dong , Han Pu

We consider three two-level atoms inside a one-dimensional cavity, interacting with the electromagnetic field in the rotating wave approximation (RWA), commonly used in the atom-radiation interaction. One of the three atoms is initially…

Quantum Physics · Physics 2009-11-11 I. Dolce , R. Passante , F. Persico

Trapped ions driven by electromagnetic radiation constitute one of the most developed quantum technologies to date. The scenarios range from proof-of-principle experiments to on-chip integration for quantum information units. In most cases,…

Quantum Physics · Physics 2023-09-26 T. Tassis , F. L. Semião

The entanglement dynamics of two remote qubits is examined analytically. The qubits interact arbitrarily strongly with separate harmonic oscillators in the idealized degenerate limit of the Jaynes-Cummings Hamiltonian. In contrast to well…

Quantum Physics · Physics 2011-05-17 S. M. Hashemi Rafsanjani , S. Agarwal , J. H. Eberly

Exitation of atomic levels due to interaction with electromagnetic waves has been the subject of numerous works, both experimental and theoretical. This topic became of interest in accelerator physics in relation to high efficiency charge…

Pattern Formation and Solitons · Physics 2007-08-31 V. Danilov