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

Abstract

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.

Authors:

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)

Publication Date:: Wed Oct 14 00:00:00 EDT 2015

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

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1440725

Alternate Identifier(s):: OSTI ID: 1223559

Report Number(s):: LLNL-JRNL-667776
Journal ID: ISSN 1050-2947; PLRAAN; 789341; TRN: US1900764

Grant/Contract Number:: AC52-07NA27344

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review A - Atomic, Molecular, and Optical Physics

Additional Journal Information:: Journal Volume: 92; Journal Issue: 4; Journal ID: ISSN 1050-2947

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Harabati, C., Dzuba, V. A., Flambaum, V. V., and Hohensee, M. A. Effects of Lorentz-symmetry violation on the spectra of rare-earth ions in a crystal field.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevA.92.040101.

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                    Harabati, C., Dzuba, V. A., Flambaum, V. V., & Hohensee, M. A. Effects of Lorentz-symmetry violation on the spectra of rare-earth ions in a crystal field.  United States.  https://doi.org/10.1103/PhysRevA.92.040101

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                    Harabati, C., Dzuba, V. A., Flambaum, V. V., and Hohensee, M. A. Wed .  
"Effects of Lorentz-symmetry violation on the spectra of rare-earth ions in a crystal field".  United States.  https://doi.org/10.1103/PhysRevA.92.040101.  https://www.osti.gov/servlets/purl/1440725.

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@article{osti_1440725,

  title        = {Effects of Lorentz-symmetry violation on the spectra of rare-earth ions in a crystal field},

  author       = {Harabati, C. and Dzuba, V. A. and Flambaum, V. V. and Hohensee, M. A.},

  abstractNote = {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.},

  doi          = {10.1103/PhysRevA.92.040101},

  journal      = {Physical Review A - Atomic, Molecular, and Optical Physics},

  number       = 4,

  volume       = 92,

  place        = {United States},

  year         = {Wed Oct 14 00:00:00 EDT 2015},

  month        = {Wed Oct 14 00:00:00 EDT 2015}

}

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Figures / Tables:

TABLE I: Experimental crystal-field splittings, calculated wave functions, and LLI-violating energy shifts δE for Ce³⁺ (4$f^1$) ions in LaCl₃. Data from reference [17]. B$^2_0$ = 129, B$^4_ 0$ = −329, B$^6_0$ = −997, and B$^6_6$ = 403 in cm⁻¹ are used in calculating Eq. (4). Note that the eigenstates aremore »

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Works referencing / citing this record:

Search for New Physics with Atoms and Molecules
text, January 2017

Safronova, M. S.; Budker, D.; DeMille, D.
arXiv
DOI: 10.48550/arxiv.1710.01833

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Similar Records

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

Abstract

Citation Formats

Figures / Tables:

Rare-earth-doped materials for applications in quantum information storage and signal processing journal, March 2011

Pulsed field Zeeman studies of Ce3+ in LaCl3 journal, December 1969

Spectrum of Nd 3+ in LaCl 3 journal, November 1963

Spectrum of Er 3+ in LaCl 3 journal, November 1963

Testing the equivalence principle: why and how? journal, November 1996

Probing Lorentz and CPT violation with space-based experiments 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 journal, April 1974

Phenomenological gravitational constraints on strings and higher-dimensional theories journal, July 1989

Recurrence and Differential Relations for Spherical Spinors journal, May 2006

What do we know about Lorentz invariance? journal, May 2014

Clock-Comparison Tests of Lorentz and CPT Symmetry in Space journal, February 2002

Limits on Violations of Lorentz Symmetry and the Einstein Equivalence Principle using Radio-Frequency Spectroscopy of Atomic Dysprosium journal, July 2013

Equivalence Principle and Bound Kinetic Energy journal, October 2013

Data tables for Lorentz and C P T violation journal, March 2011

Absorptionsspektrum des Ce3+-Ions und Kristallfeld im La(Ce)Cl journal, December 1965

CPT violation and the standard model journal, June 1997

Gravitational phenomenology in higher-dimensional theories and strings journal, September 1989

Lorentz-violating extension of the standard model journal, October 1998

Nonrelativistic quantum Hamiltonian for Lorentz violation journal, December 1999

Matter-gravity couplings and Lorentz violation journal, January 2011

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Termaufspaltung in Kristallen journal, January 1929

Michelson–Morley analogue for electrons using trapped ions to test Lorentz symmetry journal, January 2015

Signals for Lorentz violation in electrodynamics journal, September 2002

Spectroscopy and dynamics of Er 3 + : Y 2 Si O 5 at 1.5 μ m journal, August 2006

Spectroscopic Properties of Rare Earths journal, September 1965

Search for New Physics with Atoms and Molecules text, January 2017

Rare-earth-doped materials for applications in quantum information storage and signal processing
journal, March 2011

Pulsed field Zeeman studies of Ce3+ in LaCl3
journal, December 1969

Spectrum of Nd ³⁺ in LaCl ₃
journal, November 1963

Spectrum of Er ³⁺ in LaCl ₃
journal, November 1963

Testing the equivalence principle: why and how?
journal, November 1996

Probing Lorentz and $CPT$ violation with space-based experiments
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
journal, April 1974

Phenomenological gravitational constraints on strings and higher-dimensional theories
journal, July 1989

Recurrence and Differential Relations for Spherical Spinors
journal, May 2006

What do we know about Lorentz invariance?
journal, May 2014

Clock-Comparison Tests of Lorentz and $CPT$ Symmetry in Space
journal, February 2002

Limits on Violations of Lorentz Symmetry and the Einstein Equivalence Principle using Radio-Frequency Spectroscopy of Atomic Dysprosium
journal, July 2013

Equivalence Principle and Bound Kinetic Energy
journal, October 2013

Data tables for Lorentz and $C P T$ violation
journal, March 2011

Absorptionsspektrum des Ce3+-Ions und Kristallfeld im La(Ce)Cl
journal, December 1965

$CPT$ violation and the standard model
journal, June 1997

Gravitational phenomenology in higher-dimensional theories and strings
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Matter-gravity couplings and Lorentz violation
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