Phonon–phonon interactions due to non-linear effects in a linear ion trap 

@article{Marquet2003PhononphononID,
  title={Phonon–phonon interactions due to non-linear effects in a linear ion trap
},
  author={Cyrille Marquet and Ferdinand Schmidt-Kaler and Daniel F. V. James},
  journal={Applied Physics B},
  year={2003},
  volume={76},
  pages={199-208}
}
Abstract.We examine in detail the theory of the intrinsic non-linearities in the dynamics of trapped ions due to the Coulomb interaction. In particular, the possibility of mode–mode coupling, which can be a source of decoherence in trapped ion quantum computation, or can be exploited for parametric down-conversion of phonons, is discussed and conditions under which such coupling is possible are derived. 
View on Springer
arxiv.org
39 Citations
Highly Influential Citations
2
Background Citations
10
Methods Citations
4

39 Citations

Citation Type

Citation Type

Phonon-phonon interactions in a linear ion trap
We observe nonlinear coupling of phonons between radial and axial directions in a system of two ions in a linear Paul trap. Anticrossing of phonon modes and adiabatic energy transfer are demonstrated.
Phonon Superfluids in Sets of Trapped Ions
We show that transverse phonons in a set of trapped ions under the action of lasers are described by an interacting boson model whose parameters can be externally adjusted. If the radial trapping…
Linear mode-mixing of phonons with trapped ions
Abstract We propose a method to manipulate the normal modes in a chain of trapped ions using only two lasers. Linear chains of trapped ions have proven experimentally to be highly controllable…
Theory of cross phase modulation for the vibrational modes of trapped ions
Trapped ion quantum computation with transverse phonon modes.
TLDR
A scheme to implement quantum gates on any pair of trapped ions immersed in a large linear crystal, using interaction mediated by the transverse phonon modes, is proposed, which is much less sensitive to ion heating and thermal motion outside of the Lamb-Dicke limit.
Quantum Parametric Oscillator with Trapped Ions.
TLDR
The Coulomb interaction between two trapped ions is exploited to achieve strong nonlinear coupling between normal modes of motion at the single-phonon level and this coupling is applied to directly measure the parity and Wigner functions of the ions' motional states.
Quantum parameter estimation of nonlinear coupling in a trilinear Hamiltonian with trapped ions
I propose an efficient method for measuring non-linear coupling between the collective axial breathing mode and the radial rocking mode induced by the mutual Coulomb repulsion in linear ion crystal.…
Trapped ions in optical lattices for probing oscillator chain models
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…
Quantum nanofriction in trapped ion chains with a topological defect
Trapped ion systems constitute a well controllable scenario for the study and emulation of nanofriction, and in particular of Frenkel-Kontorova-like models. This is in particular the case when a…
Normal modes of trapped ions in the presence of anharmonic trap potentials
We theoretically and experimentally examine the effects of anharmonic terms in the trapping potential for linear chains of trapped ions. We concentrate on two different effects that become…
...
...

References

SHOWING 1-10 OF 44 REFERENCES
Studies of nonlinear problems i
Their studies were first described in Los Alamos Report LA-1940 May 1955 LA-1940 Page 4 " We have, therefore, a dynamical system of 64 particles with forces acting between neighbors with fixed end…
The Physics of Quantum Information
F
OF THE DISCLOSURE A gas Spring for a drawing table which has a cylinder, a piston in the cylinder, and a piston rod projecting from the piston through one end wall of the cylinder, the other end wall…
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)…
J. Mod. Opt
  • J. Mod. Opt
  • 1997
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 1999
Sets, numbers, and universes : selected works
Eur. Phys. J. D
  • Eur. Phys. J. D
  • 2000
J. Res. Natl. Inst. Stand. Technol. Nature J. Mod. Opt
  • J. Res. Natl. Inst. Stand. Technol. Nature J. Mod. Opt
  • 1998
C
  • A. . Sackett, C. S. Wood, W. M. Itano, C. Monroe, and D. J. Wineland: Phys. Rev. A 61, 063418
  • 2000
...
...