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We investigate the control mechanism of trap frequencies and determine the orientation of ion trap principal axes. The application of DC voltage to the ground electrodes, commonly employed to finely tune trap frequencies in ion traps, leads…

Atomic Physics · Physics 2024-03-22 Ryoichi Saito , Takashi Mukaiyama

Precise quantum control and measurement of several harmonic oscillators, such as the modes of the electromagnetic field in a cavity or of mechanical motion, are key for their use as quantum platforms. The motional modes of trapped ions can…

We develop a theory to address the non-equilibrium dynamics of phonons in a one-dimensional trapped ion system. We elaborate our earlier results obtained in Phys. Rev. Lett. {\bf 111}, 170406 (2013) to chart out the mechanism of…

Strongly Correlated Electrons · Physics 2016-04-04 T. Dutta , M. Mukherjee , K. Sengupta

We actively stabilize the harmonic oscillation frequency of a laser-cooled atomic ion confined in a rf Paul trap by sampling and rectifying the high voltage rf applied to the trap electrodes. We are able to stabilize the 1 MHz atomic…

We investigate the performance of different control techniques for ion transport in state-of-the-art segmented miniaturized ion traps. We employ numerical optimization of classical trajectories and quantum wavepacket propagation as well as…

We firstly discuss classical stability for a dynamical system of two ions levitated in a 3D Radio-Frequency (RF) trap, assimilated with two coupled oscillators. We obtain the solutions of the coupled system of equations that characterizes…

Atomic Physics · Physics 2022-01-06 Bogdan M. Mihalcea , Stephen Lynch

Favored schemes for trapped-ion quantum logic gates use bichromatic laser fields to couple internal qubit states with external motion through a "spin-dependent force." We introduce a new degree of freedom in this coupling that reduces its…

Quantum Physics · Physics 2009-11-10 P. C. Haljan , K. -A. Brickman , L. Deslauriers , P. J. Lee , C. Monroe

For sufficiently short relativistic-intensity laser pulses, the disparity in time scales for electron and ion motion causes ions to behave as a fixed, neutralizing background. As the pulse duration or intensity is increased, ion motion…

We propose an experimental configuration, within an ion trap, by which a quantum mechanical delta-kicked harmonic oscillator could be realized, and investigated. We show how to directly measure the sensitivity of the ion motion to small…

Quantum Physics · Physics 2014-11-18 S. A. Gardiner , J. I. Cirac , P. Zoller

We study the quantum coherent-tunneling between two Bose-Einstein condensates separated through an oscillating trap potential. The cases of slowly and rapidly varying in time trap potential are considered. In the case of a slowly varying…

Soft Condensed Matter · Physics 2009-10-31 F. Kh. Abdullaev , R. A. Kraenkel

Improving coherence is a fundamental challenge in quantum simulation and sensing experiments with trapped ions. Here we discuss, experimentally demonstrate, and estimate the potential impacts of two different protocols that enhance, through…

We consider the transversal modes of ions in a linear radio frequency (rf) trap where we control the time dependent axial confinement to show that we can excite quanta of motion via a two-mode squeezing process. This effect is analogous to…

Quantum Physics · Physics 2018-09-19 Christian Fey , Tobias Schaetz , Ralf Schützhold

We experimentally study two-dimensional (2D) Coulomb crystals in the "radial-2D" phase of a linear Paul trap. This phase is identified by a 2D ion lattice aligned entirely with the radial plane and is created by imposing a large ratio of…

We observe the phase space trajectory of an entangled wave packet of a trapped ion with high precision. The application of a spin dependent light force on a superposition of spin states allows for coherent splitting of the matter wave…

Quantum Physics · Physics 2014-05-22 Ulrich Poschinger , Andreas Walther , Kilian Singer , Ferdinand Schmidt-Kaler

We present a comprehensive phase-space treatment of the motion of charged particles in electrodynamic traps. Focusing on five-wire surface-electrode Paul traps, we study the details of integrable and chaotic motion of a single ion. We…

Quantum Physics · Physics 2018-06-05 V. Roberdel , D. Leibfried , D. Ullmo , H. Landa

We analyse the possibility of cooling ions with a single laser beam, due to the coupling between the three components of their motion induced by the Coulomb interaction. For this purpose, we numerically study the dynamics of ion clouds of…

Atomic ions, confined in radio-frequency Paul ion traps, are a promising candidate to host a future quantum information processor. In this letter, we demonstrate a method to couple two motional modes of a single trapped ion, where the…

Trapped atomic ion qubits or effective spins are a powerful quantum platform for quantum computation and simulation, featuring densely connected and efficiently programmable interactions between the spins. While native interactions between…

Quantum Physics · Physics 2023-08-01 Or Katz , Marko Cetina , Christopher Monroe

One of the challenges with quantum simulation in ion traps is that the effective spin-spin exchange couplings are not uniform across the lattice. This can be particularly important in Penning trap realizations where the presence of an…

Quantum Physics · Physics 2015-10-14 A. Khan , B. Yoshimura , J. K. Freericks

The quadrupole interaction between the Rydberg electronic states of a Rydberg ion and the radio frequency electric field of the ion trap is analyzed. Such a coupling is negligible for the lowest energy levels of a trapped ion but it is…

Quantum Physics · Physics 2019-02-05 Lachezar S. Simeonov , Nikolay V. Vitanov , Peter A. Ivanov