15.10.Iv Ions: vibrational states

Coupling of nitrogen vacancy centres in nanodiamonds by means of phonons

Date: 
2013-04-09 - 2013-08-06
Author(s): 

A. Albrecht, A. Retzker, F. Jelezko and M. B. Plenio

Reference: 

New Journal of Physics 15, 083014, 1367 (2013)

Realizing controlled quantum dynamics via the magnetic interactions between colour centres in diamond remains a challenge despite recent demonstrations for nanometre separated pairs. Here we propose to use the intrinsic acoustical phonons in diamond as a data bus for accomplishing this task. We show that for nanodiamonds the electron–phonon coupling can take significant values that together with mode frequencies in the THz range can serve as a resource for conditional gate operations.

Topological Phenomena in Trapped Ion Systems

Date: 
2013-01-08
Author(s): 

T. Shi and J. I. Cirac

Reference: 

URL: http://link.aps.org/doi/10.1103/PhysRevA.87.013606
DOI: 10.1103/PhysRevA.87.013606
PACS: 03.75.Hh, 37.10.Ty, 37.10.Vz, 05.30.Jp

We propose and analyze a scheme to observe topological phenomena with ions in microtraps. We consider a set of trapped ions forming a regular structure in two spatial dimensions and interacting with lasers. We find phonon bands with nontrivial topological properties, which are caused by the breaking of time-reversal symmetry induced by the lasers.

Frustrated Quantum Spin Models with Cold Coulomb Crystals

Date: 
2011-11-11
Author(s): 

A. Bermudez, J. Almeida, F. Schmidt-Kaler, A. Retzker, M. B. Plenio

Reference: 

URL: http://link.aps.org/doi/10.1103/PhysRevLett.107.207209
DOI: 10.1103/PhysRevLett.107.207209
PACS: 75.10.Jm, 03.67.Ac, 05.30.Rt, 37.10.Ty

We exploit the geometry of a zigzag cold-ion crystal in a linear trap to propose the quantum simulation of a paradigmatic model of long-ranged magnetic frustration. Such a quantum simulation would clarify the complex features of a rich phase diagram that presents ferromagnetic, dimerized-antiferromagnetic, paramagnetic, and floating phases, together with previously unnoticed features that are hard to assess by numerics.

Bosonic Josephson Junction Controlled by a Single Trapped Ion

Date: 
2012-08-22
Author(s): 

R. Gerritsma, A. Negretti, H. Deork, Z. Idziaszek, T. Calarco, F. Schmidt-Kaler

Reference: 

URL: http://link.aps.org/doi/10.1103/PhysRevLett.109.080402
DOI: 10.1103/PhysRevLett.109.080402
PACS: 03.75.Gg, 03.75.Lm, 34.50.Cx, 37.10.Ty

We theoretically investigate the properties of a double-well bosonic Josephson junction coupled to a single trapped ion.

Quantum simulation of small-polaron formation with trapped ions

Date: 
2012-12-17
Author(s): 

V.M. Stojanovíc, Tao Shi, C. Bruder, and J.I. Cirac

Reference: 

URL: http://link.aps.org/doi/10.1103/PhysRevLett.109.250501
DOI: 10.1103/PhysRevLett.109.250501
PACS: 03.67.Ac, 37.10.Ty, 71.38.Ht

We propose an analog quantum simulation of small-polaron physics using a one-dimensional system of trapped ions acted upon by off-resonant standing waves. This system, envisioned as an array of microtraps, in the single-excitation case allows the realization of the antiadiabatic regime of the Holstein model. We show that the strong excitation-phonon coupling regime, characterized by the formation of small polarons, can be reached using realistic values of the relevant system parameters.

Bosonic Josephson Junction Controlled by a Single Trapped Ion

Date: 
2012-08-22
Author(s): 

R. Gerritsma, A. Negretti, H. Doerk, Z. Idziaszek, T. Calarco, and F. Schmidt-Kaler

Reference: 

Phys. Rev. Lett. 109, 080402 (2012)

We theoretically investigate the properties of a double-well bosonic Josephson junction coupled to a single trapped ion. We find that the coupling between the wells can be controlled by the internal state of the ion, which can be used for studying mesoscopic entanglement between the two systems and to measure their interaction with high precision. As a particular example we consider a single 87Rb atom and a small Bose-Einstein condensate controlled by a single 171Yb+ ion.

Quantum zigzag transition in ion chains

Date: 
2011-01-19
Author(s): 

E. Shimshoni, G. Morigi, S. Fishman

Reference: 

Phys. Rev. Lett 106, 010401 (2011)

A string of trapped ions at zero temperature exhibits a structural phase transition to a zigzag structure, tuned by reducing the transverse trap potential or the interparticle distance. The transition is driven by transverse, short wavelength vibrational modes. We argue that this is a quantum phase transition, which can be experimentally realized and probed.

Frustrated Quantum Spin Models with Cold Coulomb Crystals

Date: 
2011-08-04
Author(s): 

A. Bermudez, J. Almeida, F. Schmidt-Kaler, A. Retzker, M. B. Plenio

Reference: 

arXiv:1108.1024 (2011)

We exploit the geometry of a zig-zag cold-ion crystal in a linear trap to propose the quantum simulation of a paradigmatic model of long-ranged magnetic frustration. Such a quantum simulation would clarify the complex features of a rich phase diagram that presents ferromagnetic, dimerized antiferromagnetic, paramagnetic, and floating phases, together with previously unnoticed features that are hard to assess by numerics. We analyze in detail its experimental feasibility, and provide supporting numerical evidence on the basis of realistic parameters in current ion-trap technology.

A single ion as a shot noise limited magnetic field gradient probe

Date: 
2011-06-23
Author(s): 

A. Walther, U. Poschinger, F. Ziesel, M. Hettrich, A. Wiens, J. Welzel, F. Schmidt-Kaler

Reference: 

Phys. Rev. A 83, 062329 (2011)
ariXiv:1103.2253
doi: 10.1103/PhysRevA.83.062329

It is expected that ion trap quantum computing can be made scalable through protocols that make use of transport of ion qubits between sub-regions within the ion trap. In this scenario, any magnetic field inhomogeneity the ion experiences during the transport, may lead to dephasing and loss of fidelity. Here we demonstrate a scalable way to measure the magnetic field gradient inside a segmented ion trap, by transporting a single ion over variable distances.

Realization of a Quantum Walk with One and Two Trapped Ions

Date: 
2010-03-09
Author(s): 

F. Zähringer, G. Kirchmair, R. Gerritsma, E. Solano, R. Blatt, and C. F. Roos

Reference: 

Phys. Rev. Lett. 104, 100503 (2010)

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