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In this tutorial we review physical implementation of quantum computing using a system of cold trapped ions. We discuss systematically all the aspects for making the implementation possible. Firstly, we go through the loading and confining…

Quantum Physics · Physics 2015-06-26 Marek Sasura , Vladimir Buzek

Driven dissipative steady state entanglement schemes take advantage of coupling to the environment to robustly prepare highly entangled states. We present a scheme for two trapped ions to generate a maximally entangled steady state with…

Quantum Physics · Physics 2015-04-15 C. D. B. Bentley , A. R. R. Carvalho , D. Kielpinski , J. J. Hope

We use Density Functional Theory to study interacting spinless electrons on a one-dimensional quantum ring in the density range where the system undergoes Wigner crystallization. The Wigner transition leads to a drastic ``collective''…

Mesoscale and Nanoscale Physics · Physics 2007-11-20 Marc Siegmund , Markus Hofmann , Oleg Pankratov

We investigate the non-dissipative decoherence of three qubit system obtained by manipulating the state of a trapped two-level ion coupled to an optical cavity. Modelling the environment as a set of noninteracting harmonic oscillators,…

Quantum Physics · Physics 2009-11-11 S. Shelly Sharma , N. K. Sharma , E. de Almeida

Trapped atomic ions are a versatile platform for studying interactions between spins and bosons by coupling the internal states of the ions to their motion. Measurement of complex motional states with multiple modes is challenging, because…

Quantum Physics · Physics 2022-09-14 Zhubing Jia , Ye Wang , Bichen Zhang , Jacob Whitlow , Chao Fang , Jungsang Kim , Kenneth R. Brown

We study the behavior of infinite systems of coupled harmonic oscillators as t->infinity, and generalize the Central Limit Theorem (CLT) to show that their reduced Wigner distributions become Gaussian under quite general conditions. This…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Max Tegmark , Harold S. Shapiro

We demonstrate that superpositions of coherent and displaced Fock states, also referred to as generalized Schr\"odinger cats cats, can be created by application of a nonlinear displacement operator which is a deformed version of the Glauber…

We use a string of confined $^{40}$Ca$^+$ ions to measure perturbations to a trapping potential which are caused by light-induced charging of an anti-reflection coated window and of insulating patches on the ion-trap electrodes. The…

Quantum Physics · Physics 2010-09-28 Maximilian Harlander , Michael Brownnutt , Wolfgang Hänsel , Rainer Blatt

Trapped ions are among the leading platforms for quantum technologies, particularly in the field of quantum computing. Detecting states of trapped ions is essential for ensuring high-fidelity readouts of quantum states. In this work, we…

We present a scheme utilizing position-dependent ac Stark shifts for doing quantum logic with trapped ions. By a proper choice of direction, position and size, as well as power and frequency of a far-off-resonant Gaussian laser beam,…

Quantum Physics · Physics 2009-11-07 Peter Staanum , Michael Drewsen

Precision measurements of Schiff moments in heavy, deformed nuclei are sensitive probes of beyond Standard Model $T,P$-violation in the hadronic sector. While the most sensitive limits on Schiff moments to date are set with diamagnetic…

Atomic Physics · Physics 2021-01-15 Phelan Yu , Nicholas R. Hutzler

We show how an ion trap, configured for the coherent manipulation of external and internal quantum states, can be used to simulate the irreversible dynamics of a collective angular momentum model known as the Dicke model. In the special…

Quantum Physics · Physics 2013-05-29 S. Schneider , G. J. Milburn

The oscillation coupling and different nonlinear effects are observed in a single trapped $^{40}Ca^{+}$ ion confined in our home-built surface-electrode trap (SET). The coupling and the nonlinearity are originated from the high-order…

Quantum Physics · Physics 2015-06-15 Hao-Yu Wu , Yi. Xie , Wei Wan , Liang Chen , Fei Zhou , Mang Feng

We present a theoretical treatment of conditional preparation of one-photon states from a continuous-wave non-degenerate optical parametric oscillator. We obtain an analytical expression for the output state Wigner function, and we maximize…

Quantum Physics · Physics 2014-10-09 Anne E. B. Nielsen , Klaus Mølmer

We demonstrate the existence of confined states in one- and two-dimensional (1D and 2D) systems of two linearly-coupled components, with the confining harmonic-oscillator (HO) potential acting upon one component, and an expulsive anti-HO…

Pattern Formation and Solitons · Physics 2022-04-13 Nir Hacker , Boris A. Malomed

Composite bosons (or quasibosons), as recently proven, are realizable by deformed oscillators and due to that can be effectively treated as particles of nonstandard statistics (deformed bosons). This enables us to study quasiboson states…

Quantum Physics · Physics 2012-04-13 A. M. Gavrilik , Yu. A. Mishchenko

Distribution of the entangled state of trapped atomic ions to long distance using quantum repeater protocol is considered. Indeed, the long distance is divided into short parts, and then using entanglement generation and entanglement…

Quantum Physics · Physics 2021-06-04 M Ghasemi , M K Tavassoly

A $q$-deformed Weyl-Heisenberg algebra is used to define a deformed displacement operator giving rise to a naturally normalized nonlinear coherent states type. Robust maximally entangled deformed coherent states are studied and the effect…

Quantum Physics · Physics 2019-09-24 Mohamed Taha Rouabah , Noureddine Mebarki

A generalization of the canonical coherent states of a quantum harmonic oscillator has been performed by requiring the conditions of normalizability, continuity in the label and resolution of the identity operator with a positive weight…

Quantum Physics · Physics 2023-03-28 Filippo Giraldi , Francesco Mainardi

We propose a scheme which can effectively restore fixed points in the quantum dynamics of repeated Jaynes-Cummings interactions followed by atomic state measurements, when the interaction times fluctuate randomly. It is based on selection…

Quantum Physics · Physics 2009-10-31 Mauro Fortunato , Gershon Kurizki , Wolfgang P. Schleich