Operator-based derivation of phonon modes and characterization of correlations for trapped ions at zero and finite temperature
Name
PhysRevB.94.214305.pdf
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1.34 MB
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Adobe PDF
Checksum (MD5)
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Author(s)
Hofstetter, W.
Poletti, D.
Bissbort, Ulf
Date Issued
December 2016
Journal
Physical Review B
Publisher
American Physical Society
Citation
Bissbort, U., W. Hofstetter, and D. Poletti. “Operator-Based Derivation of Phonon Modes and Characterization of Correlations for Trapped Ions at Zero and Finite Temperature.” Physical Review B 94.21 (2016): n. pag. © 2016 American Physical Society
Version
Final published version
Abstract
We present a self-contained operator-based approach to derive the spectrum of trapped ions. This approach provides the complete normal form of the low-energy quadratic Hamiltonian in terms of bosonic phonons, as well as an effective free-particle degree of freedom for each spontaneously broken spatial symmetry. We demonstrate how this formalism can directly be used to characterize an ion chain both in the linear and the zigzag regimes. In particular, we compute, both for the ground state and finite temperature states, spatial correlations, heat capacity, and dynamical susceptibility. Last, for the ground state, which has quantum correlations, we analyze the amount of energy reduction compared to an uncorrelated state with minimum energy, thus highlighting how the system can lower its energy by correlations.
MIT Department
Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.94.214305
