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We present a method of treating the interaction of a single three-level ion with two laser beams. The idea is to apply a unitary transformation such that the exact transformed Hamiltonian has one of the three levels decoupled for all values…

Quantum Physics · Physics 2007-05-23 A. B. Klimov , J. L. Romero , J. Delgado , L. L. Sanchez-Soto

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

We show that a chain of trapped ions embedded in microtraps generated by an optical lattice can be used to study oscillator models related to dry friction and energy transport. Numerical calculations with realistic experimental parameters…

Quantum Physics · Physics 2011-08-17 Thaned Pruttivarasin , Michael Ramm , Ishan Talukdar , Axel Kreuter , Hartmut Haeffner

Under certain mode-matching conditions, small-amplitude waves can be trapped by coupling to solitons of nonlinear fields. We present a model for this phenomenon, consisting of a linear equation coupled to the Korteweg-de Vries equation. The…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 P. D. Miller , S. R. Clarke

We propose an ion trap configuration such that individual traps can be stacked together in a three dimensional simple cubic arrangement. The isolated trap as well as the extended array of ion traps are characterized for different locations…

Atomic Physics · Physics 2011-12-30 K. Ravi , Seunghyun Lee , Arijit Sharma , Tridib Ray , G. Werth , S. A. Rangwala

We analyze the effects of electron-electron and electron-phonon interactions in the dynamics of a system of two or three electrons that can be trapped to a localized state and detrapped to ab extended band states of a quantum dot using a…

Mesoscale and Nanoscale Physics · Physics 2025-12-11 R. Carmina Monreal

We propose to subject two Bose-Einstein condensates to a periodic potential, so that one condensate undergoes the Mott insulator transition to a state with precisely one atom per lattice site. We show that photoassociation of heteronuclear…

Soft Condensed Matter · Physics 2009-11-07 Klaus Molmer

A system of harmonic oscillators coupled via nonlinear interaction is a fundamental model in many branches of physics, from biophysics to electronics and condensed matter physics. In quantum optics, weak nonlinear interaction between light…

Quantum Physics · Physics 2017-10-24 Shiqian Ding , Gleb Maslennikov , Roland Hablutzel , Huanqian Loh , Dzmitry Matsukevich

The evolution of adiabatic waves with autoresonant trapped particles is described within the Lagrangian model developed in Paper I, under the assumption that the action distribution of these particles is conserved, and, in particular, that…

Plasma Physics · Physics 2015-05-28 I. Y. Dodin , N. J. Fisch

Internal states of different ions in an electrodynamic trap are coupled when a static magnetic field is applied -- analogous to spin-spin coupling in molecules used for NMR. This spin-spin interaction can be used, for example, to implement…

Quantum Physics · Physics 2007-05-23 Christof Wunderlich

In the study of ion-atom interactions, the ion often remain trapped during the experiments. However, the effects of the trapping potential of the ion on ion-neutral interactions remain largely unexplored. Although trap-assisted ion-neutral…

Atomic Physics · Physics 2025-04-01 Ruiren Shi , Michael Drewsen , Jesús Pérez-Ríos

We show that the motion of a cold trapped ion can be squeezed by modulating the intensity of a phase-stable optical lattice placed inside the trap. As this method is reversible and state selective it effectively implements a…

We study the Hamiltonian equations of motion of a heavy tracer particle interacting with a dense weakly interacting Bose-Einstein condensate in the classical (mean-field) limit. Solutions describing ballistic subsonic motion of the particle…

Mathematical Physics · Physics 2016-09-14 Daniel Egli , Jürg Fröhlich , Zhou Gang , Arick Shao , Israel Michael Sigal

Probing quantum dynamics in the strong-field regime is critical for advancing our understanding of controlled quantum systems and developing robust quantum technologies. In this work, we experimentally investigate the dynamics of a trapped…

Electromagnetically induced transparency (EIT) cooling has established itself as one of the most widely used cooling schemes for trapped ions during the past twenty years. Compared to its alternatives, EIT cooling possesses important…

Quantum Physics · Physics 2021-08-04 Shuo Zhang , Tian-Ci Tian , Zheng-Yang Wu , Zong-Sheng Zhang , Xin-Hai Wang , Wei Wu , Wan-Su Bao , Chu Guo

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

Standard analytical construction of the many-body wave function of interacting particles in one dimension, beyond mean-field theory, is based on the Jastrow approach. The many-body interacting ground state is build up from the ground state…

Quantum Gases · Physics 2018-09-05 Przemysław Kościk , Marcin Płodzień , Tomasz Sowiński

Optical trapping and ions combine unique advantages of independently striving fields of research. Light fields can form versatile potential landscapes, such as optical lattices, for neutral and charged atoms, avoiding detrimental…

Atomic Physics · Physics 2015-06-22 Thomas Huber , Alexander Lambrecht , Julian Schmidt , Leon Karpa , Tobias Schaetz

We present a protocol that permits the generation of a subtle with superposition with 2^(l+1) displaced number states on a circle in phase space as target state for the center-of-mass motion of a trapped ion. Through a sequence of 'l'…

Quantum Physics · Physics 2007-05-23 Marcelo A. Marchiolli , Wagner D. Jose

The thermodynamics of the lattice model of intercalation of ions in crystals is considered in the mean field approximation. Pseudospin formalism is used for the description of interaction of electrons with ions and the possibility of…

Strongly Correlated Electrons · Physics 2009-07-08 T. S. Mysakovych , V. O. Krasnov , I. V. Stasyuk
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