Ion Trap Simulations of Quantum Fields in an Expanding Universe
Abstract
We propose an experiment in which the phonon excitation of ion(s) in a trap, with a trap frequency exponentially modulated at rate kappa, exhibits a thermal spectrum with an "Unruh" temperature given by k(B)T=Planck kappa. We discuss the similarities of this experiment to the response of detectors in a de Sitter universe and the usual Unruh effect for uniformly accelerated detectors. We demonstrate a new Unruh effect for detectors that respond to antinormally ordered moments using the ion's first blue sideband transition.
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The Dirac oscillator (DO) is an exactly solvable model in relativistic quantum mechanics.
“The relativistic extension of the quantum harmonic oscillator, the so-called Dirac oscillator (DO) [57,58,59], provides a paradigmatic and exactly solvable model in relativistic quantum mechanics.”
From Classical simulation of relativistic quantum mechanics in periodic optical structures (2011) · cites this paper as [58]
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Georgescu, I. M., Ashhab, S., & Nori, F. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.153 · Cited by 2,932 · see citing works
“…effect (i.e., the observation by an accelerating observer of a thermal flux of particles in vacuum) using the phonon excitation of trapped ions (Alsing et al., 2005) and the simulation of the Schwinger effect (i.e., the production of electron-positron pairs from the vacuum under the action of…”
BackgroundMethodQuantum simulations with trapped ions
Blatt, R., & Roos, C. F. (2012) · Nature Physics · doi:10.1038/nphys2252 · Cited by 1,629 · see citing works
Quantum simulation of the Dirac equation
Gerritsma, R., Kirchmair, G., Zähringer, F., Solano, E., Blatt, R., & Roos, C. F. (2010) · Nature · doi:10.1038/nature08688 · Cited by 725 · see citing works
“Recent years have seen an increased interest in simulations of relativistic quantum effects in different physical setups [5, 6, 7, 8, 9, 10, 11, 12], where parameter tunability allows accessibility to different physical regimes.”
BackgroundDirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
Lamata, L., León, J., Schätz, T., & Solano, E. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.253005 · Cited by 300 · see citing works
Bermudez, A., Martin-Delgado, M. A., & Solano, E. (2007) · Physical Review A · doi:10.1103/physreva.76.041801 · Cited by 232 · see citing works
Relativistic quantum mechanics with trapped ions
Lamata, L., Casanova, J., Gerritsma, R., Roos, C. F., García-Ripoll, J. J., & Solano, E. (2011) · New Journal of Physics · doi:10.1088/1367-2630/13/9/095003 · Cited by 80 · see citing works
Classical simulation of relativistic quantum mechanics in periodic optical structures
Longhi, S. (2011) · Applied Physics B · doi:10.1007/s00340-011-4628-7 · Cited by 72 · see citing works
- Authors
- Alsing, P. M., Dowling, J. P., & Milburn, G. J.
- Affiliations
- University of New Mexico (US)
- Louisiana State University (US)
- The University of Queensland (AU)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2005-06-06
- Volume
- 94
- Issue
- 22
- Pages
- 220401-220401
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2057201898
- Cited by
- 81
- References
- 0
- Citations by year
- 2026: 1 · 2025: 7 · 2024: 3 · 2023: 2 · 2022: 4 · 2021: 5 · 2020: 3 · 2019: 5 · 2018: 1 · 2017: 4 · 2016: 6 · 2015: 3 · 2014: 3 · 2013: 2 · 2012: 4
- FWCI
- 2.05
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Electrodynamics and Casimir Effect
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- Unruh effect, ion trap, phonon excitations, cosmic expansion, de Sitter space, accelerated detectors, antinormal ordering, thermal spectrum, quantum field theory in curved spacetime
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