Phonon-mediated quantum spin simulator employing a planar ionic crystal in a Penning trap
Open accessAbstract
We derive the normal modes for a rotating Coulomb ion crystal in a Penning trap, quantize the motional degrees of freedom, and illustrate how they can be driven by a spin-dependent optical dipole force to create a quantum spin simulator on a triangular lattice with hundreds of spins. The analysis for the axial modes (oscillations perpendicular to the two-dimensional crystal plane) follow a standard normal-mode analysis, while the remaining planar modes are more complicated to analyze because they have velocity-dependent forces in the rotating frame. After quantizing the normal modes into phonons, we illustrate some of the different spin-spin interactions that can be generated by entangling the motional degrees of freedom with the spin degrees of freedom via a spin-dependent optical dipole force. In addition to the well-known power-law dependence of the spin-spin interactions when driving the axial modes blue of the phonon band, we notice certain parameter regimes in which the level of frustration between the spins can be engineered by driving the axial or planar phonon modes at different frequencies. These systems may allow for the analog simulation of quantum spin glasses with large numbers of spins.
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The result of the squeezing transformation corresponds to the classical solution and is what would be expected from other treatment of the elliptical trap.
“This result corresponds to the classical solution [28], and it is indeed what we would expect from other treatment of the elliptical trap [20, 41].”
From Quantisation of the elliptical Penning trap (2021) · cites this paper as [41]
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“This result corresponds to the classical solution [28], and it is indeed what we would expect from other treatment of the elliptical trap [20, 41].”
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- Authors
- Wang, C.-C. J., Keith, A. C., & Freericks, J. K.
- Affiliations
- Los Alamos National Laboratory (US)
- Georgetown University (US)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2013-01-22
- Volume
- 87
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2093422663
- Cited by
- 36
- References
- 34
- Citations by year
- 2026: 4 · 2025: 3 · 2024: 4 · 2022: 2 · 2021: 2 · 2020: 4 · 2019: 5 · 2018: 2 · 2016: 4 · 2015: 2 · 2014: 1 · 2013: 3
- FWCI
- 1.72
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Keywords
- Penning trap, normal modes, triangular lattice, spin frustration, quantum spin glass, velocity-dependent forces
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