Lev Kaplan
Department of Physics
Tulane University
Percival Stern Hall
New Orleans, LA 70118, USA
Tel: 504-862-3176
Fax: 504-862-8702
Email: lkaplan@tulane.edu
Education
Harvard University, Cambridge MA, 6/91 -
6/96.
Ph.D. in physics, June 1996. M.A. in physics, June 1993.
Thesis Title: Topics in Effective Field Theories.
Advisors: Prof. Howard Georgi and Prof.
Eric Heller.
University of Pennsylvania, Philadelphia, PA,
9/87 - 6/91.
B.A. in physics and mathematics.
Employment
Tulane University, New Orleans, LA, 7/03 -
present.
Assistant Professor: Quantum and wave chaos; Wave function structure and transport in non-integrable, disordered, and many-body interacting systems; Long-time semiclassical methods and quantum-classical correspondence; Quantum information and computation.
Recent applications: Quantum gate optimization; Superradiance in electron transport; Casimir forces in chaotic geometries; Statistics of rogue ocean waves; Time ordering in qubits and interacting systems; Quantum fidelity and decoherence; Quantization ambiguity; Time reversal in random matrix theory; Quantum dots in coulomb blockade regime; Branched electron flow in random potentials; Quantum kicked maps and quantum graphs; Two-body random interactions in nuclei; Large matrix eigenvalue problems.
Teaching: General Physics I (Fall 2003) and II (Spring 2004 & 2005), calculus based sequence for first-year undergraduate students; Graduate Quantum Mechanics I (Fall 2004) and II (Spring 2005); Introductory Physics II (Spring 2006 and Lagniappe 2006), algebra-based sequence for premedical students; Graduate Theoretical Mechanics (Spring 2006, Fall 2007); Great Ideas in Science (Fall 2006, Spring 2008), conceptual physics for non-science majors; Computational Physics and Engineering (Spring 2007), new course for advanced undergraduates and graduate students. Overall instructor evaluation: 4.70/5 (undergraduate);4.79/5 (graduate). Supervising several graduate and undergraduate students.
Harvard University, Cambridge, MA, 9/05 -
12/05.
Visiting Scholar
University of Washington, Seattle, WA, 9/99 - 8/03.
Research Assistant Professor and national Institute for Nuclear Theory Fellow
Teaching: Classical Mechanics for first-year graduate students (Autumn 2000 and Autumn 2001).
Harvard University, Cambridge, MA, 7/96 - 8/99.
Junior Fellow, Society of Fellows
Harvard University, Cambridge, MA, 9/91 - 6/96.
Research Assistant: Effective field theories in particle physics, including QCD and extensions to the
standard model; later on quantum mechanics of chaotic maps, semiclassical techniques, and eigenstate properties.
Teaching Fellow: Introductory Quantum Field Theory, under Prof. Sidney Coleman.
Fellowships and Awards
National Science Foundation CAREER Award (2006 -
2011).
Louisiana Board of Regents Support Fund grant (2004 - 2007).
Graduate Studies Students Association award for teaching excellence (2007).
Fellow, national Institute for Nuclear Theory (1999 - 2003).
Junior Fellow, Harvard Society of Fellows (1996 - 1999).
National Science Foundation Fellowship (1991 - 1994).
Other Activities
Lead organizer, Workshop on Complex Systems and Quantum
Chaos, Seattle, March 13-16, 2000, involving forty participants from ten countries.
Referee for Physical Review Letters, Physical Review A, Physical Review C, Physical Review E, Annals of Physics, Journal of Physics A, Journal of Physics D, European Physical Journal B, Nonlinearity, Israel Science Foundation, DOE Office of Nuclear Physics.
Coordinating new interdisciplinary undergraduate program in
Engineering Physics
(launched Fall 2007) and new 3+2 dual-degree program with Vanderbilt
(expected launch Fall 2008)
Publications
(43) A. M. Smith and L. Kaplan, ``Wave Function Statistics for Chaotic Dynamical Systems,'' in preparation.
(42) G. L. Celardo and L. Kaplan, ``Effective Hamiltonian Approach to Supperradiance in Electron Transport,'' in preparation.
(41) E. J. Heller, L. Kaplan, and A. Dahlen, ``Refraction of a Gaussian Seaway,'' submitted, arXiv:0801.0613.
(40) L. Kaplan and Y. Alhassid, ``Interaction Matrix Element Fluctuations in Ballistic Quantum
Dots: Random Wave Model,'' in preparation.
(39) E. J. Heller, L. Kaplan, and F. Pollmann, ``Inflationary Dynamics for Matrix Eigenvalue Problems,'' submitted,
arXiv:0712.4093.
(38) L. Kaplan and Y. Alhassid, ``Interaction Matrix Element Fluctuations in Quantum Dots,'' conference proceedings of Workshop on Nuclei and Mesoscopic Physics (WNMP07), ed. by Pawel Danielewicz (2008).
(37) R. Estrada, S. A. Fulling, L. Kaplan, K. Kirsten, Z. Liu, and K. A Milton, ``Vacuum Stress-Energy Density and Its
Gravitational Implications,'' to appear in J. Phys. A (2008).
(36) L. Kaplan, F. Leyvraz, C. Pineda, and T. H. Seligman, ``A Trivial Observation on Time Reversal in Random Matrix Theory,''
J. Phys. A: Math. Theor. 40, F1063 (2007) (fast track communication), arXiv:0709.3353.
(35) S. A. Fulling, L. Kaplan, and J. H. Wilson, ``Vacuum Energy and Repulsive Casimir Forces in Quantum Star Graphs,'' Phys. Rev. A 76, 012118 (2007), arXiv:quant-ph/0703248.
(34) Kh. Kh. Shakov, J. H. McGuire, L. Kaplan, A. Chalastaras, and D. Uskov, “Sudden Switching in Qubits,” J. Phys. B 39, 1361 (2006), arXiv:quant-ph/0503086.
(33) J. H. McGuire, L. Kaplan, Kh. Kh. Shakov, A. Chalastaras, A. M. Smith, A. Godunov, H. Schmidt-Böcking, and D. Uskov, “How Time Works in Quantum Systems: Overview of Time Ordering and Time Correlation in Weakly Perturbed Atomic Collisions and in Strongly Perturbed Qubits,” arXiv:quant-ph/0512254.
(32) A. Chalastaras, L. Kaplan, Kh. Kh. Shakov, M. Smith, and J. H. McGuire, “An Overview of Simply Pulsed Qubits,” arXiv:quant-ph/0507138.
(31) K. Damborsky and L. Kaplan, “Scar Intensity Statistics in the Position Representation,” Phys. Rev. E 72, 066204 (2005), arXiv:nlin.CD/0510040.
(30) L. Kaplan, “Brownian Motion Model of Quantization Ambiguity and Semiclassical Accuracy in Chaotic Systems,” Phys. Rev. E 72, 036214 (2005), arXiv:nlin.CD/0507046.
(29) L. Kaplan, “Correlation Function Bootstrapping in Quantum Chaotic Systems,” Phys. Rev. E 71, 056212 (2005), arXiv:nlin.CD/0503058.
(28) L. Kaplan, Kh. Kh. Shakov, A. Chalastaras, M. Maggio, A. L. Burin, and J. H. McGuire, “Time Ordering in Kicked Qubits,” Phys. Rev. A 70, 063401 (2004),
(also selected for Virtual Journal of Quantum Information and Virtual Journal of Ultrafast Science),
arXiv:quant-ph/0406177.
(27) L. Kaplan, “Semiclassical Accuracy in Phase Space for Regular and Chaotic Dynamics,” Phys. Rev. E 70, 026223 (2004), arXiv:nlin.CD/0406054.
(26) L. Kaplan, “Statistics of Branched Flow in a Weak Correlated Random Potential,” Phys. Rev. Lett. 89, 184103 (2002), arXiv:nlin.CD/0206040.
(25) T. Papenbrock, L. Kaplan, and G. F. Bertsch, “Odd-even Binding Effect from Random Two-Body Interactions,” Phys. Rev. B 65, 235120 (2002), arXiv:condmat/0202493.
(24) L. Kaplan, “Eigenstate Structure in Graphs and Disordered Lattices,” Phys. Rev. E 64, 036225 (2001), arXiv:nlin.CD/0101048.
(23) W. E. Bies, L. Kaplan, and E. J. Heller, “Scarring Effects on Tunneling in Chaotic Double-Well Potentials,” Phys. Rev. E 64, 016204 (2001), arXiv:nlin.CD/0007037.
(22) L. Kaplan, T. Papenbrock, and C. W. Johnson, “Spin Structure of Many-Body Systems with Two-Body Random Interactions,” Phys. Rev. C 63, 014307 (2001), arXiv:nucl-th/0007013.
(21) W. E. Bies, L. Kaplan, M. R. Haggerty, and E. J. Heller, “Localization of Eigenfunctions in the Stadium Billiard,” Phys. Rev. E 63, 066214 (2001), arXiv:nlin.CD/0004024.
(20) L. Kaplan, “Structure of Quantum Chaotic Wavefunctions: Ergodicity, Localization, and Transport,” invited article for special issue of Physica E 9, 502-8 (2001), arXiv:chao-dyn/9911003.
(19) L. Kaplan and T. Papenbrock, “Wave Function Structure in Two-Body Random Matrix Ensembles,” Phys. Rev. Lett. 84, 4553-6 (2000), arXiv:nucl-th/9911038.
(18) L. Kaplan, “Periodic Orbit Effects on Conductance Peak Heights in a Chaotic Quantum Dot,” Phys. Rev. E 62, 3476-88 (2000), arXiv:nlin.CD/0003013.
(17) L. Kaplan and E. J. Heller, “Short-Time Effects on Eigenstate Structure in Sinai Billiards and Related Systems,” Phys. Rev. E 62, 409-26 (2000), arXiv:chaodyn/9910030.
(16) L. Kaplan and E. J. Heller, “Theory of Eigenfunction Scarring,” NATO ASI series volume Supersymmetry and Trace Formulae: Chaos and Disorder, ed. by I. V. Lerner, J. P. Keating, and D. E. Khmelnitskii (Plenum, 1999).
(15) L. Kaplan, “Scar and Antiscar Quantum Effects in Open Chaotic Systems,” Phys. Rev. E 59, 5325-37 (1999), arXiv:chao-dyn/9809013.
(14) L. Kaplan, “Recent Developments in the Theory of Scarring,” invited review article for Nonlinearity 12, R1-R40 (1999), arXiv:chao-dyn/9810013.
(13) L. Kaplan, “Quantization Ambiguity, Ergodicity, and Semiclassics,” New J. Phys. 4, 90 (2002), arXiv:quant-ph/9906065.
(12) L. Kaplan and E. J. Heller, “Measuring Scars of Periodic Orbits,” Phys. Rev. E 59, 6609-28 (1999), arXiv:chao-dyn/9812011.
(11) L. Kaplan, “Semiclassical Dynamical Localization and the Multiplicative Semiclassical Propagator,” Phys. Rev. Lett. 81, 3371-4 (1998), arXiv:chaodyn/9809007.
(10) L. Kaplan, “Multiplicative Semiclassical Dynamics and the Quantization Time,” Phys. Rev. E 58, 2983-91 (1998), arXiv:chao-dyn/9809006.
(9) L. Kaplan, “Wavefunction Intensity Statistics from Unstable Periodic Orbits,” Phys. Rev. Lett. 80, 2582-5 (1998), arXiv:chao-dyn/9809012.
(8) L. Kaplan and E. J. Heller, “Linear and Nonlinear Theory of Eigenfunction Scars,” Annals of Physics 264, 171-206 (1998), arXiv:chao-dyn/9809011.
(7) L. Kaplan and E. J. Heller, “Weak Quantum Ergodicity,” Physica D 121, 1-18 (1998), arXiv:chao-dyn/9810002.
(6) L. Kaplan, N. Maitra, and E. J. Heller, “Quantizing Constrained Systems: New Perspectives” Phys. Rev. A 56, 2592-9 (1997), arXiv:quant-ph/9810037.
(5) L. Kaplan and E. J. Heller, “Overcoming the Wall in the Semiclassical Baker’s map,” Phys. Rev. Lett. 76, 1453-6 (1996), arXiv:chao-dyn/9809008.
(4) H. Georgi, L. Kaplan, D. Morin, and A. Schenk, “Effects of Top Quark Compositeness,” Phys. Rev. D 51, 3888-94 (1995), arXiv:hep-ph/9410307.
(3) C. D. Carone, H. Georgi, L. Kaplan, and D. Morin, “Decays of l =1 Baryons: Quark Model versus Large
NC,” Phys. Rev. D 50, 5793-807 (1994), arXiv:hep-ph/9406227.
(2) H. Georgi, L. Kaplan, and D. Morin, “Nonperturbative Matching for Field Theories with Heavy Fermions,” Phys. Rev. D 49, 2457-61 (1994),
arXiv:hep-ph/9310364.
(1) S. N. Zhang, R. Van Berg, T. Trojak, B. Cox, S. Conetti, A. Blankman, S. Borodin, L. Kaplan, W. Kononenko, and W. Selove, “A high PT muon trigger processor,” IEEE Trans. Nucl. Sci. 39, 814-20 (1992).