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We create entangled states of the spin and motion of a single $^{40}$Ca$^+$ ion in a linear ion trap. The motional part consists of coherent states of large separation and long coherence time. The states are created by driving the motion…

We provide an explicit construction of entangled states in a noncommutative space with nonclassical states, particularly with the squeezed states. Noncommutative systems are found to be more entangled than the usual quantum mechanical…

Quantum Physics · Physics 2015-06-18 Sanjib Dey , Véronique Hussin

We have prepared the internal states of two trapped ions in both the Bell-like singlet and triplet entangled states. In contrast to all other experiments with entangled states of either massive particles or photons, we do this in a…

We propose and analyze a scheme for generating entangled atomic beams out of a Bose-Einstein condensate using spin-exchanging collisions. In particular, we show how to create both atomic squeezed states and entangled states of pairs of…

Quantum Physics · Physics 2009-11-06 L. -M. Duan , A. Sørensen , J. I. Cirac , P. Zoller

We present a theoretical analysis of methods to synthesize entangled states of two superconducting resonators. These methods use experimentally demonstrated interactions of resonators with artificial atoms, and offer efficient routes to…

Quantum Physics · Physics 2013-05-30 Frederick W. Strauch , Douglas Onyango , Kurt Jacobs , Raymond W. Simmonds

We explore and develop the mathematics of the two multi-level ions. In particular, we describe some new features of quantum entanglement in two three-level trapped ions confined in a one-dimensional harmonic potential, allowing the…

Quantum Physics · Physics 2009-11-13 Mahmoud Abdel-Aty , Ting Yu

We demonstrate a trapped-ion entangling-gate scheme proposed by Bermudez et al. [Phys. Rev. A 85, 040302 (2012)]. Simultaneous excitation of a strong carrier and a single-sideband transition enables deterministic creation of entangled…

Quantum Physics · Physics 2013-08-09 T. R. Tan , J. P Gaebler , R. Bowler , Y. Lin , J. D. Jost , D. Leibfried , D. J. Wineland

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…

The time evolution of even and odd squeezed states, as well as that of squeezed number states, has been given in simple, analytic form. This follows experimental work on trapped ions which has demonstrated even and odd coherent states,…

Quantum Physics · Physics 2007-05-23 Michael Martin Nieto

Methods for, and limitations to, the generation of entangled states of trapped atomic ions are examined. As much as possible, state manipulations are described in terms of quantum logic operations since the conditional dynamics implicit in…

Quantum Physics · Physics 2007-05-23 D. J. Wineland , C. Monroe , W. M. Itano , D. Leibfried , B. E. King , D. M. Meekhof

We analyze an experimental method for creating interesting nonclassical states by processing the entanglement generated when two large coherent states interact in a cross-Kerr medium. We specifically investigate the effects of loss and…

Quantum Physics · Physics 2017-10-11 David Schmid , Kevin Marshall , Daniel F. V. James

We investigate the quantum properties of superpositions of oppositely squeezed states, which can be regarded as Schrodinger cat states. Compared with conventional coherent-state cat states, these states exhibit distinct photon-number…

Quantum Physics · Physics 2025-11-06 Hiroo Azuma , William J. Munro , Kae Nemoto

By pumping energy into a trapped Bose-Einstein condensate it is possible to generate nonlinear coherent modes representing non-ground-state condensates. A Bose-condensed system of trapped atoms with nonlinear coherent modes is analogous to…

Quantum Gases · Physics 2024-12-03 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

We propose a dissipative method for preparation of a maximally entangled steady state of two trapped ions in the Lamb-Dicke limit. By addressing the trapped-ion system with a monochromatic standing wave laser pulse of frequency resonant…

Quantum Physics · Physics 2022-07-14 Xiao-Qiang Shao

Nonlinear coherent modes are the collective states of trapped Bose atoms, corresponding to different energy levels. These modes can be created starting from the ground state condensate that can be excited by means of a resonant alternating…

Condensed Matter · Physics 2009-11-07 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

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

We propose to create and detect opto-mechanical entanglement by storing one component of an entangled state of light in a mechanical resonator and then retrieving it. Using micro-macro entanglement of light as recently demonstrated…

Quantum Physics · Physics 2015-06-18 R. Ghobadi , S. Kumar , B. Pepper , D. Bouwmeester , A. I. Lvovsky , C. Simon

We study the entangling power of a nanoelectromechanical system (NEMS) simultaneously interacting with two separately trapped ions. To highlight this entangling capability, we consider a special regime where the ion-ion coupling does not…

Quantum Physics · Physics 2013-08-27 F. Nicacio , K. Furuya , F. L. Semião

We study a continuous-variable entangled state composed of two states which are squeezed in two opposite quadratures in phase space. Various entanglement conditions are tested for the entangled squeezed state and we study decoherence models…

Quantum Physics · Physics 2010-08-05 P. Marek , M. S. Kim , M. Paternostro

In a setting of noncommutative space with minimal length we confirm the general assertion that the more nonclassical an input state for a beam splitter is, the more entangled its output state becomes. By analysing various nonclassical…

Quantum Physics · Physics 2017-01-17 Sanjib Dey , Andreas Fring , Véronique Hussin