Effects of Lorentz-symmetry violation on the spectra of rare-earth ions in a crystal field

Harabati, C.; Dzuba, V. A.; Flambaum, V. V.; Hohensee, M. A.

doi:10.1103/PhysRevA.92.040101

Title: Effects of Lorentz-symmetry violation on the spectra of rare-earth ions in a crystal field

Journal Article · Wed Oct 14 00:00:00 EDT 2015 · Physical Review A - Atomic, Molecular, and Optical Physics

DOI:https://doi.org/10.1103/PhysRevA.92.040101· OSTI ID:1440725

Harabati, C. ^[1]; Dzuba, V. A. ^[1]; Flambaum, V. V. ^[1]; Hohensee, M. A. ^[2]

Univ. of New South Wales, Sydney (Australia)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Here, we demonstrate that experiments measuring the transition energies of rare-earth ions doped in crystalline lattices are sensitive to violations of local Lorentz invariance and Einstein's equivalence principle. Using the crystal field of LaCl₃ as an example, we calculate the frame-dependent energy shifts of the transition frequencies between low-lying states of Ce³⁺, Nd³⁺, and Er³⁺ dopants in the context of the standard model extension, and show that they have high sensitivity to electron anomalies that break rotational invariance.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1440725

Alternate ID(s):: OSTI ID: 1223559

Report Number(s):: LLNL-JRNL-667776; PLRAAN; 789341; TRN: US1900764

Journal Information:: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 92, Issue 4; ISSN 1050-2947

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 3 works

Citation information provided by
Web of Science

References (27)

Rare-earth-doped materials for applications in quantum information storage and signal processing Thiel, C. W.; Böttger, Thomas; Cone, R. L. Journal of Luminescence, Vol. 131, Issue 3 https://doi.org/10.1016/j.jlumin.2010.12.015	journal	March 2011
Pulsed field Zeeman studies of Ce3+ in LaCl3 Bagguley, D. M. S.; Vella-Coleiro, G. Journal of Physics C: Solid State Physics, Vol. 2, Issue 12 https://doi.org/10.1088/0022-3719/2/12/315	journal	December 1969
Spectrum of Nd ³⁺ in LaCl ₃ Eisenstein, J. C. The Journal of Chemical Physics, Vol. 39, Issue 9 https://doi.org/10.1063/1.1701413	journal	November 1963
Spectrum of Er ³⁺ in LaCl ₃ Eisenstein, J. C. The Journal of Chemical Physics, Vol. 39, Issue 9 https://doi.org/10.1063/1.1701412	journal	November 1963
Testing the equivalence principle: why and how? Damour, Thibault Classical and Quantum Gravity, Vol. 13, Issue 11A https://doi.org/10.1088/0264-9381/13/11A/005	journal	November 1996
Probing Lorentz and $CPT$ violation with space-based experiments Bluhm, Robert; Kostelecký, V. Alan; Lane, Charles D. Physical Review D, Vol. 68, Issue 12 https://doi.org/10.1103/PhysRevD.68.125008	journal	December 2003
Spin-lattice relaxation rates for ${Nd}^{3 +}$ , ${Er}^{3 +}$ , and ${Ce}^{3 +}$ in La ${Cl}_{3}$ between 2.7 and 29 K Gray, William T.; Stapleton, H. J. Physical Review B, Vol. 9, Issue 7 https://doi.org/10.1103/PhysRevB.9.2863	journal	April 1974
Phenomenological gravitational constraints on strings and higher-dimensional theories Kostelecký, V. Alan; Samuel, Stuart Physical Review Letters, Vol. 63, Issue 3 https://doi.org/10.1103/PhysRevLett.63.224	journal	July 1989
Recurrence and Differential Relations for Spherical Spinors Szmytkowski, Radosław Journal of Mathematical Chemistry, Vol. 42, Issue 3 https://doi.org/10.1007/s10910-006-9110-0	journal	May 2006
What do we know about Lorentz invariance? Tasson, Jay D. Reports on Progress in Physics, Vol. 77, Issue 6 https://doi.org/10.1088/0034-4885/77/6/062901	journal	May 2014
Clock-Comparison Tests of Lorentz and $CPT$ Symmetry in Space Bluhm, Robert; Kostelecký, V. Alan; Lane, Charles D. Physical Review Letters, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevLett.88.090801	journal	February 2002
Limits on Violations of Lorentz Symmetry and the Einstein Equivalence Principle using Radio-Frequency Spectroscopy of Atomic Dysprosium Hohensee, M. A.; Leefer, N.; Budker, D. Physical Review Letters, Vol. 111, Issue 5 https://doi.org/10.1103/PhysRevLett.111.050401	journal	July 2013
Equivalence Principle and Bound Kinetic Energy Hohensee, Michael A.; Müller, Holger; Wiringa, R. B. Physical Review Letters, Vol. 111, Issue 15 https://doi.org/10.1103/PhysRevLett.111.151102	journal	October 2013
Data tables for Lorentz and $C P T$ violation Kostelecký, V. Alan; Russell, Neil Reviews of Modern Physics, Vol. 83, Issue 1 https://doi.org/10.1103/RevModPhys.83.11	journal	March 2011
Absorptionsspektrum des Ce3+-Ions und Kristallfeld im La(Ce)Cl Hellwege, K. H.; Orlich, E.; Schaack, G. Physik der Kondensierten Materie, Vol. 4, Issue 3 https://doi.org/10.1007/BF02423842	journal	December 1965
$CPT$ violation and the standard model Colladay, Don; Kostelecký, V. Alan Physical Review D, Vol. 55, Issue 11 https://doi.org/10.1103/PhysRevD.55.6760	journal	June 1997
Gravitational phenomenology in higher-dimensional theories and strings Kostelecký, V. Alan; Samuel, Stuart Physical Review D, Vol. 40, Issue 6 https://doi.org/10.1103/PhysRevD.40.1886	journal	September 1989
Lorentz-violating extension of the standard model Colladay, D.; Kostelecký, V. Alan Physical Review D, Vol. 58, Issue 11 https://doi.org/10.1103/PhysRevD.58.116002	journal	October 1998
Nonrelativistic quantum Hamiltonian for Lorentz violation Kostelecký, V. Alan; Lane, Charles D. Journal of Mathematical Physics, Vol. 40, Issue 12 https://doi.org/10.1063/1.533090	journal	December 1999
Matter-gravity couplings and Lorentz violation Kostelecký, V. Alan; Tasson, Jay D. Physical Review D, Vol. 83, Issue 1 https://doi.org/10.1103/PhysRevD.83.016013	journal	January 2011
Optically addressable nuclear spins in a solid with a six-hour coherence time Zhong, Manjin; Hedges, Morgan P.; Ahlefeldt, Rose L. Nature, Vol. 517, Issue 7533 https://doi.org/10.1038/nature14025	journal	January 2015
Constraints on Lorentz violation from clock-comparison experiments Kostelecký, V. Alan; Lane, Charles D. Physical Review D, Vol. 60, Issue 11 https://doi.org/10.1103/PhysRevD.60.116010	journal	November 1999
Termaufspaltung in Kristallen Bethe, H. Annalen der Physik, Vol. 395, Issue 2 https://doi.org/10.1002/andp.19293950202	journal	January 1929
Michelson–Morley analogue for electrons using trapped ions to test Lorentz symmetry Pruttivarasin, T.; Ramm, M.; Porsev, S. G. Nature, Vol. 517, Issue 7536 https://doi.org/10.1038/nature14091	journal	January 2015
Signals for Lorentz violation in electrodynamics Kostelecký, V. Alan; Mewes, Matthew Physical Review D, Vol. 66, Issue 5 https://doi.org/10.1103/PhysRevD.66.056005	journal	September 2002
Spectroscopy and dynamics of ${Er}^{3 +} : Y_{2} Si O_{5}$ at $1.5 μ m$ Böttger, Thomas; Sun, Y.; Thiel, C. W. Physical Review B, Vol. 74, Issue 7 https://doi.org/10.1103/PhysRevB.74.075107	journal	August 2006
Spectroscopic Properties of Rare Earths Wybourne, Brian G.; Meggers, William F. Physics Today, Vol. 18, Issue 9 https://doi.org/10.1063/1.3047727	journal	September 1965

Cited By (1)

Search for New Physics with Atoms and Molecules Safronova, M. S.; Budker, D.; DeMille, D. arXiv https://doi.org/10.48550/arxiv.1710.01833	text	January 2017