Erratum: Discrete Time Crystals: Rigidity, Criticality, and Realizations [Phys. Rev. Lett. 118, 030401 (2017)]

Erratum: Discrete Time Crystals: Rigidity, Criticality, and Realizations [Phys. Rev. Lett. 118,... week ending PHYSICAL REVIEW LETTERS 30 JUNE 2017 PRL 118, 269901 (2017) Erratum: Discrete Time Crystals: Rigidity, Criticality, and Realizations [Phys. Rev. Lett. 118, 030401 (2017)] N. Y. Yao, A. C. Potter, I.-D. Potirniche, and A. Vishwanath (Received 14 April 2017; published 27 June 2017) DOI: 10.1103/PhysRevLett.118.269901 A few errors are corrected as follows. (i) Equation (1) omits the presence of disorder in the coupling strength, which was included in the simulations leading to the data shown in Figs. 1–3. The equation and text beneath should read H ≡ ðg − ϵÞ σ ; 0 <t<T 1 1 H ðtÞ¼ P ð1Þ z z z z z H ≡ J σ σ þ B σ ;T <t<T; 2 i i i i 1 iþ1 z z where σ⃗ represents Pauli operators, J ∈ ½J − δJ ;J þ δJ , with δJ ¼ 0.2J , and where B ∈ ½0;W is a random z z z z z z i i longitudinal field. We note that this δJ disorder was originally added to emulate the spatial inhomogeneity of the coupling matrix for trapped ion experiments and to remove an additional pathology of the δJ ¼ 0 model in the http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review Letters American Physical Society (APS)

Erratum: Discrete Time Crystals: Rigidity, Criticality, and Realizations [Phys. Rev. Lett. 118, 030401 (2017)]

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Erratum: Discrete Time Crystals: Rigidity, Criticality, and Realizations [Phys. Rev. Lett. 118, 030401 (2017)]

Abstract

week ending PHYSICAL REVIEW LETTERS 30 JUNE 2017 PRL 118, 269901 (2017) Erratum: Discrete Time Crystals: Rigidity, Criticality, and Realizations [Phys. Rev. Lett. 118, 030401 (2017)] N. Y. Yao, A. C. Potter, I.-D. Potirniche, and A. Vishwanath (Received 14 April 2017; published 27 June 2017) DOI: 10.1103/PhysRevLett.118.269901 A few errors are corrected as follows. (i) Equation (1) omits the presence of disorder in the coupling strength, which was included in the simulations leading to the data shown in Figs. 1–3. The equation and text beneath should read H ≡ ðg − ϵÞ σ ; 0 <t<T 1 1 H ðtÞ¼ P ð1Þ z z z z z H ≡ J σ σ þ B σ ;T <t<T; 2 i i i i 1 iþ1 z z where σ⃗ represents Pauli operators, J ∈ ½J − δJ ;J þ δJ , with δJ ¼ 0.2J , and where B ∈ ½0;W is a random z z z z z z i i longitudinal field. We note that this δJ disorder was originally added to emulate the spatial inhomogeneity of the coupling matrix for trapped ion experiments and to remove an additional pathology of the δJ ¼ 0 model in the
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Publisher
American Physical Society (APS)
Copyright
Copyright © © 2017 American Physical Society
ISSN
0031-9007
eISSN
1079-7114
D.O.I.
10.1103/PhysRevLett.118.269901
Publisher site
See Article on Publisher Site

Abstract

week ending PHYSICAL REVIEW LETTERS 30 JUNE 2017 PRL 118, 269901 (2017) Erratum: Discrete Time Crystals: Rigidity, Criticality, and Realizations [Phys. Rev. Lett. 118, 030401 (2017)] N. Y. Yao, A. C. Potter, I.-D. Potirniche, and A. Vishwanath (Received 14 April 2017; published 27 June 2017) DOI: 10.1103/PhysRevLett.118.269901 A few errors are corrected as follows. (i) Equation (1) omits the presence of disorder in the coupling strength, which was included in the simulations leading to the data shown in Figs. 1–3. The equation and text beneath should read H ≡ ðg − ϵÞ σ ; 0 <t<T 1 1 H ðtÞ¼ P ð1Þ z z z z z H ≡ J σ σ þ B σ ;T <t<T; 2 i i i i 1 iþ1 z z where σ⃗ represents Pauli operators, J ∈ ½J − δJ ;J þ δJ , with δJ ¼ 0.2J , and where B ∈ ½0;W is a random z z z z z z i i longitudinal field. We note that this δJ disorder was originally added to emulate the spatial inhomogeneity of the coupling matrix for trapped ion experiments and to remove an additional pathology of the δJ ¼ 0 model in the

Journal

Physical Review LettersAmerican Physical Society (APS)

Published: Jun 30, 2017

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