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We examine the validity of the harmonic approximation, where the radio-frequency ion trap is treated as a harmonic trap, in the problem regarding the controlled collision of a trapped atom and a single trapped ion. This is equivalent to…

Quantum Physics · Physics 2012-07-10 Le Huy Nguyen , Amir Kalev , Murray D. Barrett , Berthold-Georg Englert

We investigate confinement-induced resonances in atom-ion quantum mixtures confined in hybrid traps. Specifically, we consider an ion confined in a time-dependent radio-frequency Paul trap with linear geometry, while the atom is constrained…

Atomic Physics · Physics 2019-12-11 Vladimir S. Melezhik , Zbigniew Idziaszek , Antonio Negretti

We investigate the conditions of entanglement for a system of two atoms and two photon modes in vacuum, using the Jaynes-Cummings model in the rotating-wave approximation. It is found, by generalizing the existing results, that the strength…

Quantum Physics · Physics 2016-06-27 Samina S. Masood , Allen Miller

The manipulation of individual charged particles has been deeply explored in physics's theoretical and experimental domains during the past decades. It is the pillar of several existing devices used for metrology and sensing and is a…

Quantum Physics · Physics 2024-10-25 Marko Toroš , Patrick Andriolo , Martine Schut , Sougato Bose , Anupam Mazumdar

We derive the stochastic equations and consider the non-Markovian dynamics of a system of multiple two-level atoms in a common quantum field. We make only the dipole approximation for the atoms and assume weak atom-field interactions. From…

Quantum Physics · Physics 2015-03-17 C. H. Fleming , N. I. Cummings , Charis Anastopoulos , B. L. Hu

We study quantitatively the breakdown of the rotating-wave approximation when calculating collective light emission by quantum emitters, in particular in the weak-excitation limit. Our starting point is a known multiple-scattering formalism…

Quantum Physics · Physics 2023-01-25 Mads Anders Jørgensen , Martijn Wubs

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 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…

Quantum Physics · Physics 2007-05-23 Hao-Sheng Zeng , Le-Man Kuang , Ke-Lin Gao

We show how a single trapped ion may be used to test a variety of important physical models realized as time-dependent harmonic oscillators. The ion itself functions as its own motional detector through laser-induced electronic transitions.…

Quantum Physics · Physics 2007-12-23 Nicolas C. Menicucci , G. J. Milburn

A parity deformed Jaynes-Cummings model (JCM) is introduced, which describes an interaction of a two-level atom with a $\lambda$-deformed quantized field. In the rotating wave approximation (RWA), all eigen-values and eigen-functions of…

Quantum Physics · Physics 2016-12-23 A. Dehghani , B. Mojaveri , S. Shirin , S. Amiri

Mean motion resonances are a common feature of both our own Solar System and of extrasolar planetary systems. Bodies can be trapped in resonance when their orbital semi-major axes change, for instance when they migrate through a…

Earth and Planetary Astrophysics · Physics 2015-05-20 Alexander Mustill , Mark Wyatt

We develop the generalized rotating-wave approximation (GRWA) approach (Phys. Rev. Lett. 99, 173601 (2007)) to study the single-photon scattering on a two-level system (TLS) with arbitrarily strong coupling to a local mode in a…

Quantum Physics · Physics 2012-12-03 Z. H. Wang , Yong Li , D. L. Zhou , Chang-pu Sun , Peng Zhang

A more reasonable trial ground state wave function is constructed for the relative motion of an interacting two-fermion system in a 1D harmonic potential. At the boundaries both the wave function and its first derivative are continuous and…

Quantum Gases · Physics 2017-04-06 Yanxia Liu , Jun Ye , Yuanyuan Li , Yunbo Zhang

A single trapped ion interacting with laser light in a radiofrequency trap is considered by diagonalization of full Hamiltonian of the system in a suitable basis. The energies, eigenvectors, probabilities of finding the atom in the ground…

Quantum Physics · Physics 2017-05-31 Ghasem Asadi Cordshooli , Mehdi Mirzaee

Quantum manipulation of individual phonons could offer new resources for studying fundamental physics and creating an innovative platform in quantum information science. Here, we propose to generate quantum states of strongly correlated…

Quantum Physics · Physics 2021-08-02 Yuangang Deng , Tao Shi , Su Yi

We investigate the applicability of the two major approximations which are most commonly employed in the study of the quantum Rabi model, namely the description of a resonant cavity mode as a single-mode quantized field and the use of the…

Quantum Physics · Physics 2017-09-25 I. D. Feranchuk , A. V. Leonov , O. D. Skoromnik

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 investigate high frequency motional states of trapped atomic ions. Trapped ions in rf traps are confined by an approximate harmonic potential and exhibit quantum motional states that mediate essential techniques in quantum computing,…

Quantum Physics · Physics 2026-04-07 A. J. Rasmusson

Control over physical systems at the quantum level is a goal shared by scientists in fields as diverse as metrology, information processing, simulation and chemistry. For trapped atomic ions, the quantized motional and internal degrees of…

Quantum Physics · Physics 2015-03-19 C. Ospelkaus , U. Warring , Y. Colombe , K. R. Brown , J. M. Amini , D. Leibfried , D. J. Wineland

Entanglement evolution of two independent Jaynes-Cummings atoms without rotating-wave approximation (RWA) is studied by an numerically exact approach. The previous results in the RWA are essentially modified in the strong coupling regime…

Quantum Physics · Physics 2015-05-19 Qing-Hu Chen , Tao Liu , Yuan Yang , Ke-Lin Wang