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Journal articles on the topic 'Berry phases'

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Published: 6 September 2023

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1

Jordan, Thomas F. "Berry phases for partial cycles." Physical Review A 38, no. 3 (August 1, 1988): 1590–92. http://dx.doi.org/10.1103/physreva.38.1590.

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2

Moore, D. J. "Berry phases and Rabi oscillations." Quantum Optics: Journal of the European Optical Society Part B 4, no. 2 (April 1992): 123–30. http://dx.doi.org/10.1088/0954-8998/4/2/006.

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3

Lee, H. K., M. A. Nowak, Mannque Rho, and I. Zahed. "Excited baryons and Berry phases." Physics Letters B 272, no. 1-2 (November 1991): 109–13. http://dx.doi.org/10.1016/0370-2693(91)91021-m.

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4

Kyu Lee, Hyun, Maciej A. Nowak, Mannque Rho, and Ismail Zahed. "Chiral bags and Berry phases." Physics Letters B 255, no. 1 (January 1991): 96–100. http://dx.doi.org/10.1016/0370-2693(91)91145-l.

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5

Jordan, Thomas F. "Berry phases and unitary transformations." Journal of Mathematical Physics 29, no. 9 (September 1988): 2042–52. http://dx.doi.org/10.1063/1.527862.

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6

Aligia, A. A. "Berry phases in superconducting transitions." Europhysics Letters (EPL) 45, no. 4 (February 15, 1999): 411–17. http://dx.doi.org/10.1209/epl/i1999-00181-4.

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7

Lee, H. K., M. A. Nowak, M. Rho, and I. Zahed. "Nonabelian Berry Phases in Baryons." Annals of Physics 227, no. 2 (November 1993): 175–205. http://dx.doi.org/10.1006/aphy.1993.1079.

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8

Chruściński, Dariusz. "Phase-Space Approach to Berry Phases." Open Systems & Information Dynamics 13, no. 01 (March 2006): 67–74. http://dx.doi.org/10.1007/s11080-006-7268-3.

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We propose a new formula for the adiabatic Berry phase which is based on phase-space formulation of quantum mechanics. This approach sheds a new light onto the correspondence between classical and quantum adiabatic phases — both phases are related with the averaging procedure: Hannay angle with averaging over the classical torus and Berry phase with averaging over the entire classical phase space with respect to the corresponding Wigner function.
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9

Moore, D. J. "Berry phases and Hamiltonian time dependence." Journal of Physics A: Mathematical and General 23, no. 23 (December 7, 1990): 5523–34. http://dx.doi.org/10.1088/0305-4470/23/23/024.

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10

Moore, D. "The calculation of nonadiabatic Berry phases." Physics Reports 210, no. 1 (December 1991): 1–43. http://dx.doi.org/10.1016/0370-1573(91)90089-5.

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11

Maruyama, I., and Y. Hatsugai. "Quantized Berry phases of Kondo insulators." Journal of Physics: Conference Series 150, no. 4 (March 1, 2009): 042116. http://dx.doi.org/10.1088/1742-6596/150/4/042116.

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12

Shore, K. Alan. "Berry phases in electronic structure theory." Contemporary Physics 59, no. 4 (October 2, 2018): 434–35. http://dx.doi.org/10.1080/00107514.2018.1559235.

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13

Andreev, V. A., A. B. Klimov, and P. B. Lerner. "Berry Phases in the Atomic Interferometer." Europhysics Letters (EPL) 12, no. 2 (May 15, 1990): 101–6. http://dx.doi.org/10.1209/0295-5075/12/2/002.

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14

Carra, Paolo. "Interpreting Stone's model of Berry phases." Journal of Physics A: Mathematical and General 37, no. 17 (April 15, 2004): L183—L188. http://dx.doi.org/10.1088/0305-4470/37/17/l01.

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15

Everschor-Sitte, Karin, and Matthias Sitte. "Real-space Berry phases: Skyrmion soccer (invited)." Journal of Applied Physics 115, no. 17 (May 7, 2014): 172602. http://dx.doi.org/10.1063/1.4870695.

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16

Oblak, Blagoje, and Gregory Kozyreff. "Berry phases in the reconstructed KdV equation." Chaos: An Interdisciplinary Journal of Nonlinear Science 30, no. 11 (November 2020): 113114. http://dx.doi.org/10.1063/5.0021892.

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17

STAUDT, G., W. SCHNEIDER, and J. LEIDEL. "Phases of Berry Growth in Vitis vinifera." Annals of Botany 58, no. 6 (December 1986): 789–800. http://dx.doi.org/10.1093/oxfordjournals.aob.a087261.

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18

Lovesey, S. W. "Geometric (Berry) phases in neutron molecular spectroscopy." Physica Scripta 46, no. 4 (October 1, 1992): 357–60. http://dx.doi.org/10.1088/0031-8949/46/4/008.

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19

Chiao, Raymond Y., and Thomas F. Jordan. "Lorentz-group Berry phases in squeezed light." Physics Letters A 132, no. 2-3 (September 1988): 77–81. http://dx.doi.org/10.1016/0375-9601(88)90255-1.

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20

Chiao, Raymond. "Lorentz-group Berry phases in squeezed light." Nuclear Physics B - Proceedings Supplements 6 (March 1989): 327–33. http://dx.doi.org/10.1016/0920-5632(89)90466-0.

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21

Xu, Jin-Shi, Kai Sun, Jiannis K. Pachos, Yong-Jian Han, Chuan-Feng Li, and Guang-Can Guo. "Photonic implementation of Majorana-based Berry phases." Science Advances 4, no. 10 (October 2018): eaat6533. http://dx.doi.org/10.1126/sciadv.aat6533.

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Geometric phases, generated by cyclic evolutions of quantum systems, offer an inspiring playground for advancing fundamental physics and technologies alike. The exotic statistics of anyons realized in physical systems can be interpreted as a topological version of geometric phases. However, non-Abelian statistics has not yet been demonstrated in the laboratory. Here, we use an all-optical quantum system that simulates the statistical evolution of Majorana fermions. As a result, we experimentally realize non-Abelian Berry phases with the topological characteristic that they are invariant under continuous deformations of their control parameters. We implement a universal set of Majorana-inspired gates by performing topological and nontopological evolutions and investigate their resilience against perturbative errors. Our photonic experiment, though not scalable, suggests the intriguing possibility of experimentally simulating Majorana statistics with scalable technologies.
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22

Lévay, Péter. "Geometrical description of SU(2) Berry phases." Physical Review A 41, no. 5 (March 1, 1990): 2837–40. http://dx.doi.org/10.1103/physreva.41.2837.

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23

Auerbach, Assa. "Vibrations and Berry phases of charged buckminsterfullerene." Physical Review Letters 72, no. 18 (May 2, 1994): 2931–34. http://dx.doi.org/10.1103/physrevlett.72.2931.

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24

Auerbach, Assa. "Vibrations and Berry Phases of Charged Buckminsterfullerene." Physical Review Letters 72, no. 26 (June 27, 1994): 4156. http://dx.doi.org/10.1103/physrevlett.72.4156.3.

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25

Auerbach, Assa. "Spin tunneling, Berry phases, and doped antiferromagnets." Physical Review B 48, no. 5 (August 1, 1993): 3287–89. http://dx.doi.org/10.1103/physrevb.48.3287.

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26

Zeiner, P., R. Dirl, and B. L. Davies. "Nonlinear Berry phases for simple band representations." Physical Review B 54, no. 4 (July 15, 1996): 2466–70. http://dx.doi.org/10.1103/physrevb.54.2466.

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27

Reznik, B., and Y. Aharonov. "Interplay of Aharonov-Bohm and Berry phases." Physics Letters B 315, no. 3-4 (October 1993): 386–91. http://dx.doi.org/10.1016/0370-2693(93)91629-2.

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28

Uhlmann, A. "On Berry Phases Along Mixtures of States." Annalen der Physik 501, no. 1 (1989): 63–69. http://dx.doi.org/10.1002/andp.19895010108.

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29

KWEK, L. C., and M. K. KWAN. "BERRY PHASE IN MAGNETOELECTRIC MATERIALS." International Journal of Quantum Information 07, supp01 (January 2009): 105–15. http://dx.doi.org/10.1142/s0219749909004761.

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Weak magnetism of antiferromagnetic crystals, such as MnCO3 , CoCO3 , and spin arrangement in antiferromagnets of low symmetry can be studied using the Dzyaloshinskii-Moriya (DM) interaction. Such interactions may also be present sometimes in some spin-chain systems like magnetoelectric multiferroics. These materials could in principle be prime candidates for solid state NMR quantum computing based on manipulation of geometric phases. However, recent preliminary studies appear to show that a small presence of DM interaction could dampen magnitudes of the geometric phases.
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30

Boya, Louis J. "Rays and Phases: A Paradox?" Zeitschrift für Naturforschung A 52, no. 1-2 (February 1, 1997): 63–65. http://dx.doi.org/10.1515/zna-1997-1-217.

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AbstractThe states of a quantum mechanical system are represented by rays in Hilbert space, but interference phenomena, Berry phase, etc. make reference to vectors. We show how to solve this apparent paradox by appropriate use of the vector bundle structure of quantum theory.
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31

ZHAO, HUI, XUEAN ZHAO, and YOU-QUAN LI. "BERRY PHASES OF A COMPOSITE SYSTEM IN EXTERNAL FIELDS." Modern Physics Letters B 20, no. 18 (August 10, 2006): 1121–26. http://dx.doi.org/10.1142/s0217984906011281.

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We apply the perturbation theory to investigate the behavior of the Berry phase of a composite system. The composite system consists of two weakly-coupled spin-½ particles, in which each particle is driven by a varying magnetic field. The result shows that the Berry phase for one subsystem is controlled by the state of the other subsystem. The method can also be used to deal with the effect of a spin environment on a single-particle system if the particle is weakly coupled to the spin environment.
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32

Schakel, A. M. J. "Berry Phases in Superfluid 3 He- A 1." Europhysics Letters (EPL) 10, no. 2 (September 15, 1989): 159–63. http://dx.doi.org/10.1209/0295-5075/10/2/012.

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33

Kübert, C., and A. Muramatsu. "Fermions in an antiferromagnet with generalized Berry phases." Physical Review B 47, no. 2 (January 1, 1993): 787–95. http://dx.doi.org/10.1103/physrevb.47.787.

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34

Maruyama, Isao, and Yasuhiro Hatsugai. "Nontrivial Quantized Berry Phases for Itinerant Spin Liquids." Journal of the Physical Society of Japan 76, no. 11 (November 15, 2007): 113601. http://dx.doi.org/10.1143/jpsj.76.113601.

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35

Seleznyova, A. N. "Cyclic states, Berry phases and the Schrodinger operator." Journal of Physics A: Mathematical and General 26, no. 4 (February 21, 1993): 981–1000. http://dx.doi.org/10.1088/0305-4470/26/4/025.

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36

Contreras, H. A., and A. F. Reyes-Lega. "Berry phases, quantum phase transitions and Chern numbers." Physica B: Condensed Matter 403, no. 5-9 (April 2008): 1301–2. http://dx.doi.org/10.1016/j.physb.2007.10.131.

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37

Leonhardt, U. "Lorentz-group Berry phases via two-mode squeezing." Optics Communications 104, no. 1-3 (December 1993): 81–84. http://dx.doi.org/10.1016/0030-4018(93)90110-q.

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38

Garg, Anupam. "Berry phases near degeneracies: Beyond the simplest case." American Journal of Physics 78, no. 7 (July 2010): 661–70. http://dx.doi.org/10.1119/1.3377135.

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39

Lévay, Péter. "Berry phases for Landau Hamiltonians on deformed tori." Journal of Mathematical Physics 36, no. 6 (June 1995): 2792–802. http://dx.doi.org/10.1063/1.531066.

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40

Naumov, Vadim A. "Berry phases for three-neutrino oscillations in matter." Physics Letters B 323, no. 3-4 (March 1994): 351–59. http://dx.doi.org/10.1016/0370-2693(94)91231-9.

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41

Falci, G., R. Fazio, and G. M. Palma. "Quantum gates and Berry phases in Josephson nanostructures." Fortschritte der Physik 51, no. 45 (May 7, 2003): 442–48. http://dx.doi.org/10.1002/prop.200310060.

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42

Andersson, Ole, Ingemar Bengtsson, Marie Ericsson, and Erik Sjöqvist. "Geometric phases for mixed states of the Kitaev chain." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 374, no. 2068 (May 28, 2016): 20150231. http://dx.doi.org/10.1098/rsta.2015.0231.

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The Berry phase has found applications in building topological order parameters for certain condensed matter systems. The question whether some geometric phase for mixed states can serve the same purpose has been raised, and proposals are on the table. We analyse the intricate behaviour of Uhlmann's geometric phase in the Kitaev chain at finite temperature, and then argue that it captures quite different physics from that intended. We also analyse the behaviour of a geometric phase introduced in the context of interferometry. For the Kitaev chain, this phase closely mirrors that of the Berry phase, and we argue that it merits further investigation.
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43

Maness, N. O., D. R. Chrz, K. Striegler, I. Wahem, and T. G. McCollum. "EVALUATION OF SELECTED FRUIT QUALITY ATTRIBUTES FOR SEVEN STRAWBERRY CULTIVARS." HortScience 26, no. 5 (May 1991): 495g—496. http://dx.doi.org/10.21273/hortsci.26.5.495g.

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Fresh strawberries are highly perishable commodities, and berry quality at harvest delimits their potential shelf life. We are conducting harvest quality evaluations for seven commercially available cultivars. Seven different fruit characteristics were chosen to assess cultivar performance during the early, middle and late phases of the picking season: marketable berry yield, berry weight, berry firmness, berry color (“a” value), percept soluble solids, titratable acidity (percent citric acid) and the ratio between soluble solids and titratable acidity. Marketable berry yield, berry weight and berry firmness varied substantially between cultivars. A few differences were observed between cultivars for berry color. Berry flavor, as evidenced by the ratio between soluble solids and acidity, was also apparently different between cultivars with three of the seven cultivars consistently exhibiting higher ratios. The relationship of each measured parameter to quality will be discussed.
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44

Lu, Wangjun, Cuilu Zhai, Yan Liu, Yaju Song, Jibing Yuan, and Shiqing Tang. "Berry Phase of Two Impurity Qubits as a Signature of Dicke Quantum Phase Transition." Photonics 9, no. 11 (November 9, 2022): 844. http://dx.doi.org/10.3390/photonics9110844.

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In this paper, we investigate the effect of the Dicke quantum phase transition on the Berry phase of the two impurity qubits. The two impurity qubits only have dispersive interactions with the optical field of the Dicke quantum system. Therefore, the two impurity qubits do not affect the ground state energy of the Dicke Hamiltonian. We find that the Berry phase of the two impurity qubits has a sudden change at the Dicke quantum phase transition point. Therefore, the Berry phase of the two impurity qubits can be used as a phase transition signal for the Dicke quantum phase transition. In addition, the two impurity qubits change differently near the phase transition point at different times. We explain the reason for the different variations by studying the variation of the Berry phase of the two impurity qubits with the phase transition parameters and time. Finally, we investigated the variation of the Berry phases of the two impurity qubits with their initial conditions, and we found that their Berry phases also have abrupt changes with the initial conditions. Since the Dicke quantum phase transition is already experimentally executable, the research in this paper helps to provide a means for manipulating the Berry phase of the two impurity qubits.
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45

LI, LING, and BO-ZANG LI. "LEWIS–RIESENFELD PHASES AND BERRY PHASES FOR THE HARMONIC OSCILLATOR WITH TIME-DEPENDENT FREQUENCY AND BOUNDARY CONDITIONS." International Journal of Modern Physics B 17, no. 10 (April 20, 2003): 2045–52. http://dx.doi.org/10.1142/s0217979203018223.

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We use Lewis and Riesenfeld's quantum invariant theory to calculate the Lewis–Riesenfeld phases for a time-dependent frequency harmonic oscillator that is confined between a fixed boundary and a moving one. We also discuss the Berry phase for the system with a sinusoidally oscillating boundary.
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46

Chrz, D. R., N. O. Maness, and I. Wahem. "YIELD AND QUALITY EVALUATION OF SEVEN STRAWBERRY CULTIVARS IN EASTERN OKLAHOMA." HortScience 28, no. 4 (April 1993): 276F—276. http://dx.doi.org/10.21273/hortsci.28.4.276f.

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Seven different quality attributes were assessed during the early, middle and late phases of harvest for years 1990-1992: marketable berry yield, berry weight, berry firmness, berry color (tri stimulus chromameter “a” value), percent soluble solids, percent titratable acidity (percent cinic acid) and the ratio between soluble solids and titratable acidity. Marketable berry yield was influenced by harvest year, harvest season and cultivar. Berry weight varied substantially between cultivars and between seasons. Berry color remained stable through the harvest seasons with slight differences in color between cultivars. Berry firmness differences were generally associated with cultivar and varied little through the harvest seasons. Berry flavor (indicated by the ratio between soluble solids and acidity) tended to remain stable through the harvest seasons with considerable differences between cultivars. Work was supported by USDA grant 90-34150-5022 and the Oklahoma Agricultural Experiment Station.
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47

Moore, D. J., and G. E. Stedman. "Adiabatic and nonadiabatic Berry phases for two-level atoms." Physical Review A 45, no. 1 (January 1, 1992): 513–19. http://dx.doi.org/10.1103/physreva.45.513.

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48

Auerbach, Assa, Nicola Manini, and Erio Tosatti. "Electron-vibron interactions in charged fullerenes. I. Berry phases." Physical Review B 49, no. 18 (May 1, 1994): 12998–3007. http://dx.doi.org/10.1103/physrevb.49.12998.

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49

Kitano, M., and T. Yabuzaki. "Observation of Lorentz-group Berry phases in polarization optics." Physics Letters A 142, no. 6-7 (December 1989): 321–25. http://dx.doi.org/10.1016/0375-9601(89)90373-3.

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50

NAUMOV, V. A. "THREE-NEUTRINO OSCILLATIONS IN MATTER, CP-VIOLATION AND TOPOLOGICAL PHASES." International Journal of Modern Physics D 01, no. 02 (January 1992): 379–99. http://dx.doi.org/10.1142/s0218271892000203.

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The phenomenon of Dirac neutrino oscillations in medium of varying density and composition is studied for the case of three lepton generations using the Berry adiabatic approach. The expressions for the topological phases γN are derived. It is shown that the Berry phases, arising when matter parameters vary periodically, are equal to zero identically, while in the case of noncyclic evolution, γN≢0 (in a special gauge) under the condition that all matrix elements of the flavor-mixing matrix in vacuum, CP-violating (Dirac) phase and neutrino-mass-squares differences are not equal to zero simultaneously. Exact formulas for the neutrino-mixing matrix in matter and adiabatic time-evolution operator are obtained. The recursion algorithm for the calculation of corrections to the adiabatic approximation is given
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