姓名:Barbara Dietz
教授
所在教研室:数学物理基础
电子邮箱:dietz@lzu.edu.cn
招生专业: 理论物理
首页>教师个人主页
研究方向
主要从事复杂量子系统的研究，包括量子混沌、随机矩阵理论、超导微波谐振腔等相关领域的理论和实验研究。借助二维超导微波谐振腔实验，用微波及光子晶格来模拟复杂量子系统，在经典不可积系统对应的量子系统的能谱及波函数特征、用光子晶格来模拟人工石墨烯、用非线性微波介质来模拟量子多体系统等方面。
教学及学生指导情况
英文讲授研究生课程《量子混沌学》一门。获批兰州大学研究生院英文课程建设项目。
发表论文及专著
B. Dietz and A. RichterFrom graphene to fullerene: experiments with microwave photonic crystalsPhys. Scr. 94 014002 (2019); published onlineB. Dietz, B. A. Brown, U. Gayer, N. Pietralla, V. Yu. Ponomarev, A. Richter, P. C. Ries, and V. WernerChaos and regularity in the spectra of the low-lying dipole excitations of 50,52,54 CrPhys. Rev. C 98, 054314 (2018)Pascal Naubereit, Dominik Studer, Anna V. Viatkina, Andreas Buchleitner, Barbara Dietz, Victor V. Flambaum, and Klaus Wendt Intrinsic quantum chaos and spectral fluctuations within the protactinium atomPhys. Rev. A 98, 022506 (2018)S. Bittner, A. Loirette-Pelous, C. Lafargue, I. Gozhyk, C. Ulysse, B. Dietz, J. Zyss, and M. LebentalDynamical control of the emission of a square microlaser via symmetry classesPhys. Rev. A 97, 043826 (2018)Ilya O. Sukharevskyi, Mélanie Lebental, Barbara Dietz, Clément Lafargue and Stefan BittnerDielectric equilateral triangle microresonators: integral equations and semi-classical physics approachesProc. of SPIE 10518, 105181U (2018)Micha? ?awniczak, Ma?gorzata Bia?ous, Vitalii Yunko, Szymon Bauch, Barbara Dietz, and Leszek SirkoAnalysis of Missing Level Statistics for Microwave Networks Simulating Quantum Chaotic Graphs Without Time Reversal Symmetry — the Case of Randomly Lost ResonancesAct. Phys. Pol. A 132, 1672 (2017)Santosh Kumar, Barbara Dietz, Thomas Guhr, and Achim RichterDistribution of Off-Diagonal Cross Sections in Quantum Chaotic Scattering: ExactResults and Data ComparisonPhys. Rev. Lett. 119, 244102 (2017)Barbara Dietz, Francesco Iachello, and Michal MacekAlgebraic Theory of Crystal Vibrations: Localization Properties of Wave Functions inTwo-Dimensional LatticesCrystals 7, 246 (2017)Barbara Dietz, Vitalii Yunko, Ma?gorzata Bia?ous, Szymon Bauch, Micha? ?awniczak, and Leszek SirkoNonuniversality in the spectral properties of time-reversal-invariant microwavenetworks and quantum graphsPhys. Rev. E 95, 052202 (2017).A. Pascal, S. Bittner, B. Dietz, A. Trabattoni, C. Ulysse, M. Romanelli, M. Brunel, J. Zyss and M. LebentalWaves and rays in plano-concave laser cavities: II. A semiclassical approachEur. J. Phys. 38, 034011 (2017).B. Dietz, A. Heusler, K. H. Maier, A. Richter, and B. A. BrownChaos and Regularity in the Doubly Magic Nucleus 208PbPhys. Rev. Lett. 118, 012501 (2017).Pei Yu, Zi-Yuan Li, Hong-Ya Xu, Liang Huang, Barbara Dietz, Celso Grebogi, and Ying-Cheng LaiGaussian orthogonal ensemble statistics in graphene billiards with the shape of classically integrable billiardsPhys. Rev. E 94, 062214 (2016).Ma?gorzata Bia?ous, Vitalii Yunko, Szymon Bauch, Micha? ?awniczak, Barbara Dietz, and Leszek SirkoLong-range correlations in rectangular cavities containing pointlike perturbationsPhys. Rev. E 94, 042211 (2016).Torleif E. O. Ericson, Barbara Dietz, and Achim RichterCross-section fluctuations in chaotic scattering systemsPhys. Rev. E 94, 042207 (2016).Ma?gorzata Bia?ous, Vitalii Yunko, Szymon Bauch, Micha? ?awniczak, Barbara Dietz, and Leszek SirkoPower Spectrum Analysis and Missing Level Statistics of Microwave Graphs with Violated Time Reversal InvariancePhys. Rev. Lett. 117, 144101 (2016).B. Dietz, T. Klaus, M. Miski-Oglu, A. Richter, M. Wunderle, and C. BouazzaSpectral Properties of Dirac Billiards at the van Hove SingularitiesPhys. Rev. Lett. 116, 023901 (2016). B. Dietz, A. Richter and R. Samajdar Cross-section fluctuations in open microwave billiards and quantum graphs: The counting-of?maxima method revisitedPhys. Rev. E 92, 022904 (2015).B. Dietz, T. Klaus, M. Miski-Oglu, A. Richter, M. Bischoff, L. von Smekal, and J. Wambach Fullerene C60 Simulated with a Superconducting Microwave Resonator and Test of the Atiyah Singer Index Theorem Phys. Rev. Lett. 115, 026801 (2015). F. Iachello, B. Dietz, M. Miski-Oglu, and A. Richter Algebraic theory of crystal vibrations: Singularities and zeros in vibrations of one- and two?dimensional latticesPhys. Rev. B 91, 214307 (2015). B. Dietz and A. Richter Quantum and wave dynamical chaos in superconducting billiards Chaos 25, 097601 (2015). B. Dietz, T. Klaus, M. Miski-Oglu, and A. Richter Spectral properties of superconducting microwave photonic crystals modeling Dirac billiards Phys. Rev. B. 91, 035411 (2015). S. Bittner, B. Dietz, M. Miski-Oglu, and A. Richter Dielectric square resonator investigated with microwave experimentsPhys. Rev. E 90, 052909 (2014). B. Dietz, T. Guhr, B. Gutkin, M. Miski-Oglu, A. Richter Spectral properties and dynamical tunneling in constant-width billiardsPhys. Rev. E 90, 022903 (2014). S. Bittner, B. Dietz, H.L. Harney, M. Miski-Oglu, A. Richter, F. Sch?fer Scattering experiments with microwave billiards at an exceptional point under broken time-reversal invariance Phys. Rev. E 89, 032909 (2014). S. Bittner, E. Bogomolny, B. Dietz, M. Miski-Oglu, A. Richter Experimental observation of localized modes in a dielectric square resonatorPhys. Rev. E 88, 062906 (2013). B. Dietz, M. Miski-Oglu, N. Pietralla, A. Richter, L. von Smekal, J. Wambach, F. Iachello Lifshitz and excited state quantum phase transitions in microwave Dirac billiardsPhys. Rev. B 88,104101 (2013).S. Kumar, A. Nock, H.-J. Sommers, T. Guhr, B. Dietz, M. Miski-Oglu, A. Richter, F. Sch?ferDistribution of scattering matrix elements in quantum chaotic scattering Phys. Rev. Lett. 111, 030403 (2013).S. Bittner, B. Dietz, M. Miski-Oglu, A. Richter, C. Ripp, E. Sadurní, W. P. Schleich Bound states in sharply bent waveguides: Analytical and experimental approachPhys. Rev. E 87, 042912 (2013).S. Bittner, B. Dietz, R. Dubertrand, J. Isensee, M. Miski-Oglu, A. Richter Trace formula for chaotic dielectric resonators tested with microwave experimentsPhys. Rev. E 85, 056203 (2012). S. Bittner, B. Dietz, M. Miski-Oglu, A. Richter Extremal transmission through a microwave photonic crystal and the observation of edge states in a rectangular Dirac billiardPhys. Rev. B 85, 064301 (2012). S. Bittner, E. Bogomolny, B. Dietz, M. Miski-Oglu, A. Richter Application of a trace formula to the spectra of flat three-dimensional dielectric resonatorsPhys. Rev. E 85, 026203 (2012). S. Bittner, B. Dietz, U. Günther, H. L. Harney, M. Miski-Oglu, A. Richter, F. Sch?fer PT symmetry and spontaneous symmetry breaking in microwave billiardsPhys. Rev. Lett. 108, 024101 (2012). S. Bittner, B. Dietz, M. Miski-Oglu, P. Oria Iriarte, A. Richter, F. Sch?fer Double-slit experiments with microwave billiardsPhys. Rev. E 84, 016221 (2011). B. Dietz, H. L. Harney, O. N. Kirillov, M. Miski-Oglu, A. Richter, F. Sch?fer Exceptional points in a microwave billiard with time-reversal invariance violationPhys. Rev. Lett. 106, 150403 (2011). B. Dietz, A. Richter, H. A. Weidenmüller Correlation widths in quantum chaotic scatteringPhys. Lett. B 697, 313 (2011). B. Dietz, H. A. Weidenmüller Photonuclear reactions induced by intense short laser pulsesPhys. Lett. B 693, 316 (2010). S. Bittner, B. Dietz, M. Miski-Oglu, P. Oria-Iriarte, A. Richter, F. Sch?fer Observation of a Dirac point in microwave experiments with a photonic crystal modelling graphenePhys. Rev. B 82, 014301 (2010). S. Bittner, E. Bogomolny, B. Dietz, M. Miski-Oglu, P. Oria Iriarte, A. Richter, F. Sch?fer: Experimental test of a trace formula for two-dimensional dielectric resonatorsPhys. Rev. E 81, 066215 (2010). B. Dietz, T. Friedrich, H. L. Harney, M. Miski-Oglu, A. Richter, F. Sch?fer, H. A. Weidenmüller Quantum chaotic scattering in microwave resonatorsPhys. Rev. E 81, 036205 (2010). B. Dietz, H. L. Harney, A. Richter, F. Sch?fer, H. A. Weidenmüller Cross-section fluctuations in chaotic scatteringPhys. Lett. B 685, 263 (2010). A. B?cker, B. Dietz, T. Friedrich, M. Miski-Oglu, A. Richter, F. Sch?fer, S. Tomsovic Friedel oscillations in microwave billiardsPhys. Rev. E 80, 066210 (2009). C. Poli, B. Dietz, O. Legrand, F. Mortessagne, A. Richter Avoided-level-crossing statistics in open chaotic billiardsPhys. Rev. E 80, 035204(R) (2009). B. Dietz, T. Friedrich, M. Miski-Oglu, A. Richter, F. Sch?fer, T. H. Seligmann Nonperiodic echoes from quantum mushroom-billiard hatsPhys. Rev. E 80, 036212 (2009). S. Bittner, B. Dietz, M. Miski-Oglu, P. Oria Iriarte, A. Richter, F. Sch?fer Experimental test of a two-dimensional approximation for dielectric microcavitiesPhys. Rev. A 80, 023825 (2009). B. Dietz, T. Friedrich, H. L. Harney, M. Miski-Oglu, A. Richter, F. Sch?fer, J. Verbaarschot, H. A. Weidenmüller Induced Violation of Time-Reversal Invariance in the Regime of Weakly Overlapping ResonancesPhys. Rev. Lett. 103, 064101 (2009). B. Dietz, T. Friedrich, H. L. Harney, M. Miski-Oglu, A. Richter, F. Sch?fer, H. A. Weidenmüller Chaotic scattering in the regime of weakly overlapping resonancesPhys. Rev. E 78, 055204(R) (2008). B. Dietz, T. Friedrich, M. Miski-Oglu, A. Richter, F. Sch?fer Properties of nodal domains in a pseudointegrable barrier billiardPhys. Rev. E 78, 045201(R) (2008). B. Dietz, B. M??ner, T. Papenbrock, U. Reif, A. Richter Bouncing ball orbits and symmetry breaking effects in a three-dimensional chaotic billiardPhys. Rev. E 77, 046221 (2008). A. Y. Abul-Magd, B. Dietz, T. Friedrich, A. Richter Spectral fluctuations of billiards with mixed dynamics: from time series to superstatisticsPhys. Rev. E 77, 046202 (2008). B. Dietz, T. Friedrich, H.L. Harney, M. Miski-Oglu, A. Richter, F. Sch?fer, H. A. Weidenmüller Induced time-reversal symmetry breaking observed in microwave billiardsPhys. Rev. Lett. 98, 074103 (2007). B. Dietz, T. Friedrich, M. Miski-Oglu, A. Richter, F. Sch?fer Spectral properties of Bunimovich mushroom billiardsPhys. Rev. E 75, 035203(R) (2007). B. Dietz, T. Friedrich, J. Metz, M. Miski-Oglu, A. Richter, F. Sch?fer, C. Stafford Rabi oscillations at exceptional points in microwave billiardsPhys. Rev. E 97, 027201 (2007).E. Bogomolny, B. Dietz, T. Friedrich, M. Miski-Oglu, A. Richter, F. Sch?fer, C. Schmit First experimental observation of superscars in a pseudointegrable barrier billiard Phys. Rev. Lett. 97, 254102 (2006). B. Dietz, T. Friedrich, M. Miski-Oglu, A. Richter, T.H. Seligman, K. Zapfe Non-periodic echoes from mushroom billiard hats Phys. Rev. E 74, 056207 (2006). B. Dietz, A. Heine, A. Richter, O. Bohigas, P. Leboeuf Spectral statistics in an open parametric billiard system Phys. Rev. E 73, 035201(R) (2006). B. Dietz, T. Guhr, H. L. Harney, A. Richter Strength distributions and symmetry breaking in coupled microwave billiards Phys. Rev. Lett. 96 254101 (2006). B. Dietz, A. Heine, V. Heuveline, A. Richter Test of a new numerical approach to the quantization of billiards Phys. Rev. E 71, 026703 (2005). C. Dembowski, B. Dietz, T. Friedrich, H.-D. Gr?f, H.L. Harney, A. Heine, M. Miski-Oglu, A. Richter Distribution of resonance strengths in microwave billiards of mixed and chaotic dynamics Phys. Rev. E 71, 046202 (2005). B. Dietz, M. Lombardi, T. H. Seligman Unified theory of bound and unbound molecular Rydberg states as quantum mapsAnn. Phys. 312, 441 (2004). C. Dembowski, B. Dietz, H.-D. Gr?f, H. L. Harney, A. Heine, W. D. Heiss, A. Richter Encircling an exceptional point Phys. Rev. E 69, 056216 (2004). C. Dembowski, B. Dietz, T. Friedrich, H.-D. Gr?f, A. Heine, C. Mejia-Monasterio, M. Miski-Oglu, A. Richter, T.H. Seligman First experimental evidence for quantum echoes in scattering theory Phys. Rev. Lett. 93, 134102 (2004). C. Dembowski, B. Dietz, H.-D. Gr?f, A. Heine, F. Leyvraz, M. Miski-Oglu, A. Richter, T. H. SeligmanPhase shift experiments identifying Kramers doublets in a chaotic superconducting microwave billiard of threefold symmetryPhys. Rev. Lett. 90, 014102 (2003).C. Dembowski, B. Dietz, H.-D. Gr?f, H.L. Harney, A. Heine, W.D. Heiss, A. RichterObservation of a chiral state in a microwave cavityPhys. Rev. Lett. 90, 034101 (2003).C. Dembowski, B. Dietz, H.-D. Gr?f, A. Heine, T. Papenbrock, A. Richter, C. Richter Experimental test of the trace formula by Balian and Duplantier 5th International Summer School: Let's Face Chaos through Nonlinear Dynamics (Maribor, Slowenija, 2002), Progr. Theoret. Phys. Suppl. 150, 338 (2003). C. Dembowski, B. Dietz, H.-D. Gr?f, A. Heine, T. Papenbrock, A. Richter, C. RichterExperimental test of a trace formula for a chaotic three dimensional microwave cavityPhys. Rev. Lett. 89, 064101 (2002).R. Scharf, B. Dietz, F. Haake, M. Berry Kramers' degeneracy and quartic level repulsionEurophys. Lett. 5, 383 (1988). B. Dietz, F. Haake Random matrix theory as statistical mechanicsEurophys. Lett. 9,1 (1989). B. Dietz, F. Haake Taylor and Padé analysis of the level-spacing distributions of the random-matrix ensemblesZ. Phys. B: Condensed Matter 80, 153 (1990). B. Dietz, K. ?yczkowski Level-spacing distributions beyond the Wigner surmiseZ. Phys. B: Condensed Matter 84, 157 (1991). R. Blümel, B. Dietz, C. Jung, U. Smilansky On the transition to chaotic scatteringJ. Phys. A: Math. Gen. 25, 1483 (1992). B. Dietz, U. Smilansky A scattering approach to the quantization of billiards- The inside-outside dualityCHAOS 3, 581 (1993). B. Dietz Equilibrium thermodynamics for (quasi-) energies and random-matrix theoryZ. Phys. B: Condensed Matter 96, 271 (1994). B. Dietz, U. Smilansky Scattering from a square obstaclePhysica D 86, 34 (1995). B. Dietz, J.-P. Eckmann, C.-A. Pillet, U. Smilansky, I. Ussishkin Inside-outside duality for planar billiards-A numerical studyPhys. Rev. E 51, 4222 (1995). B. Dietz, T. H. Seligman, M. Lombardi On the universality of the parametric dependence of the S-matrixProceedings of the IV. Wigner Symposium, N. M. Atakishyev, T. H. Seligman, K. B. Wolf (eds.), p. 310 (World Scientific, Singapore, 1996). B. Dietz, M. Lombardi, T. H. Seligman Universal parametric correlations of the eigenphases of the S-matrixPhys. Lett. A 215, 181 (1996). B. Dietz, M. Lombardi, T. H. Seligman Parabolic manifolds in the scattering map and direct quantum processesJ. Phys. A 29, L95 (1996). B. Dietz, F. Leyvraz, T. H. Seligman Transition from oscillator-like behavior to chaos: A model systemProceedings of the 3rd UNAM-CRAY Supercomputing Conference, Universidad Nacional de México, 13-16 August 1996 (World Scientific, 1997). Part of my doctoral thesis was published in chapters 4 and 6 of the book with the title 'Quantum Signatures of Chaos' by Fritz Haake (Springer, Berlin, 1991). Part of my doctoral thesis was published in chapter 20 of the book with the title 'Random Matrices' by M. L. Mehta (Elsevier, San Diego, 2004).
项目成果
1.发表学术论文 60 余篇，其中Phys. Rev. Lett. 15 篇2.部分成果选入《Quantum Signatures of Chaos》以及《Random Matrices》两本著作3.撰写综述论文一篇Chaos 25, **.微波及光子晶格实验模拟复杂量子系统方面的工作，对经典量子对应中的一些基本物理问题的理解起了重要的推动作用