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Accueil du site > Divers > Bertrand Georgeot > Publications

Publications

par Bertrand Georgeot - 18 octobre 2006

     
    1. E. B. Bogomolny, B. Georgeot, M.-J. Giannoni, and C. Schmit, "Chaotic billiards generated by arithmetic groups", Phys. Rev. Lett. v. 69 (1992) p. 1477-1480.
     
    2. E. B. Bogomolny, B. Georgeot, M.-J. Giannoni, and C. Schmit, "Trace formulae for arithmetical systems ", Phys. Rev. E (Rapid Communication) v. 47 (1993) p. R2217-R2220.
     
    3. A. Comtet, B. Georgeot and S. Ouvry, "Trace formula for Riemann surfaces with magnetic field ", Phys. Rev. Lett. v. 71 (1993) p. 3786-3789.
     
    4. B. Georgeot, "Chaos, courbure negative et arithmetique : aspects classiques, quantiques et semi-classiques", PhD thesis of university Paris-XI defended on october 27, 1993.
     
    5. E. B. Bogomolny, B. Georgeot, M.-J. Giannoni, and C. Schmit, "Quantum chaos on constant negative curvature surfaces", Chaos, Solitons and Fractals v. 5 (1995) p. 1311.
     
    6. B. Georgeot and R. E. Prange, "Exact and quasiclassical Fredholm solutions of quantum billiards ", Phys. Rev. Lett. v. 74 (1995) p. 2851-2854.
     
    7. B. Georgeot and R. E. Prange, "Fredholm theory for quasiclassical scattering ", Phys. Rev. Lett. v. 74 (1995) p. 4110-4113.
     
    8. S. Fishman, B. Georgeot and R. E. Prange, "Fredholm method for scars ", Journal of Physics A v. 29 (1996) p. 919.
     
    9. B. Georgeot and R. E. Prange, "Fredholm solution of quantum chaos ", proceedings of the 4th Drexel conference on Quantum Nonintegrability", International Press, 1996.
     
    10. R. E. Prange, E. Ott, T. Antonsen, Jr, B. Georgeot and R. Bluemel, "Smoothed density of states for problems with ray-splitting", Phys. Rev. E v. 53 (1996) p. 207-213.
     
    11. R. Bluemel, T. Antonsen, Jr, B. Georgeot, E. Ott and R. E. Prange, "Ray-splitting and quantum chaos", Phys. Rev. Lett. v. 76 (1996) p. 2476-2479.
     
    12. R. Bluemel, T. Antonsen, Jr, B. Georgeot, E. Ott and R. E. Prange, "Ray-splitting and quantum chaos", Phys. Rev. E v. 53 (1996) p. 3284-3302.
     
    13. E. B. Bogomolny, B. Georgeot, M.-J. Giannoni, and C. Schmit, "Arithmetical chaos", Physics Reports v. 291 (5 & 6) (1997) p. 219-326.
     
    14. B. Georgeot and D. L. Shepelyansky, "Breit-Wigner width and participation ratio in finite interacting Fermi systems ", Phys. Rev. Lett. v. 79 (1997) p. 4365-4368 (cond-mat/9707231 preprint).
     
    15. B. Georgeot and D. L. Shepelyansky, ``Integrability and quantum chaos in spin glass shards", Phys. Rev. Lett. v. 81 (1998) p. 5129-5132 (cond-mat/9807123 preprint).
     
    16. B.Georgeot and D.L.Shepelyansky, "Quantum chaos border for quantum computing", Phys. Rev. E v. 62 (2000) p. 3504 (quant-ph/9909074 preprint).
     
    17. M. Rieutord, B. Georgeot and L. Valdettaro, ``Wave attractors in rotating fluids : a paradigm for ill-posed Cauchy problems", Phys. Rev. Lett. v. 85 (2000), p. 4277-4280 (physics/0011031 preprint).
     
    18. B.Georgeot and D.L.Shepelyansky, "Emergence of quantum chaos in the quantum computer core and how to manage it", Phys. Rev. E v.62 (2000) p. 6366 (quant-ph/0005015 preprint)
     
    19. M. Rieutord, B. Georgeot and L. Valdettaro, ``Inertial waves in a rotating spherical shell : attractors and asymptotic spectrum", J. of Fluid Mech. v. 435 (2001), p. 103-144 (physics/0007007 preprint).
     
    20. B.Georgeot and D.L.Shepelyansky, "Exponential gain in quantum computing of quantum chaos and localization", Phys. Rev. Lett. v. 86 (2001) p. 2890 - 2893 (quant-ph/0010005 preprint).
     
    21. B.Georgeot and D.L.Shepelyansky, ``Quantum computing of classical chaos : smile of the Arnold-Sch\"odinger cat’’ (quant-ph/0101004 preprint) ; ``Stable quantum computation of unstable classical chaos’’ Phys. Rev. Lett. v.86 (2001) p.5393 - 5396.
     
    22. B.Georgeot and D.L.Shepelyansky, ``Efficient quantum computing insensitive to phase errrors", in "Electronic Correlations : from meso- to nano-physics", edited by G. Montambaux and T. Martin, Rencontres de Moriond (2001) (quant-ph/0102082 preprint).
     
    23. B.Georgeot and D.L.Shepelyansky, ``Quantum computer inverting time arrow for macroscopic systems’’, Eur. Phys. J. D v. 19 (2002) p.263-266 (quant-ph/0105149 preprint ).

     ⚫24. B.Georgeot and D.L.Shepelyansky, ``Efficient quantum computation of high harmonics of the Liouville density distribution’’(quant-ph/0110142 preprint), Georgeot and Shepelyansky reply, Phys. Rev. Lett. v.88 (2002) p.219802.

     ⚫25. M. Rieutord, L. Valdettaro and B. Georgeot, ``Analysis of singular inertial modes in a spherical shell : the slender toroidal shell model’’, J. of Fluid Mech. v. 463 (2002), p. 345-360.
     
    26. M.Terraneo, B.Georgeot and D.L.Shepelyansky, ``Strange attractor simulated on a quantum computer", Eur. Phys. J. D v.22 (2003) p.127-130 (quant-ph/0203062 preprint ).

     ⚫27. B. Levi, B.Georgeot and D.L.Shepelyansky, ``Quantum computing of quantum chaos in the kicked rotator model ", Physical Review E v. 67 (2003), 046220 (quant-ph/0210154 preprint ).

     ⚫28. B.Georgeot and D.L.Shepelyansky, ``Les ordinateurs quantiques affrontent le chaos", Images de la physique 2003-2004 (2004), 17 (quant-ph/0307103 preprint ).

     ⚫29. B.Georgeot, ``Quantum computing of Poincare recurrences and periodic orbits", Physical Review A v. 69 (2004), 032301 (quant-ph/0307233 preprint ).

     ⚫30. B. Levi and B.Georgeot, ``Quantum Computation of a Complex System : the Kicked Harper Model", Physical Review E v. 70 (2004), 056218 (quant-ph/0409028 preprint ).

     ⚫31. M. Terraneo, B.Georgeot and D. L. Shepelyansky, ``Quantum computation and analysis of Wigner and Husimi functions : toward a quantum image treatment", Physical Review E v. 71 (2005), 066215 (quant-ph/0412123 preprint ).

     ⚫32. O. Giraud, B.Georgeot and D. L. Shepelyansky, ``Quantum computing of delocalization in small-world networks", Physical Review E v. 72 (2005), 036203 (quant-ph/0503188 preprint ).

     ⚫33. O. Giraud and B.Georgeot, ``Intermediate quantum maps for quantum computation", Physical Review A v. 72 (2005), 042312 (quant-ph/0504230 preprint ) (related : O. Giraud and B.Georgeot, ``Quantum maps for quantum computation’’, Proceedings of the ERATO conference on Quantum Information Science 2005 (Tokyo, Japan), 37 (2005)) .

     ⚫34. B.Georgeot, ``Quantum computing for physics research", Nuclear Instruments and Methods in Physics Research A v. 559 (2006), 6 .

     ⚫35. B.Georgeot, ``Quantum algorithms and quantum chaos’’, lecture notes published in ``Proceedings of the International School of Physics Enrico Fermi 2005 on Quantum Computers, Algorithms and Chaos’’ (IOS Press Inc. and SIF, 2006).

     ⚫36. D. Braun and B.Georgeot, ``Quantitative Measure of Interference ", Physical Review A v. 73, 022314 (2006) (quant-ph/0510159 preprint ).

     ⚫37. B. Georgeot, ``Complexity of chaos and quantum computation’’, Mathematical Structures in Computer Science, v. 17, 1221 (2007).

     ⚫38. O. Giraud, J. Martin and B. Georgeot, ``Entanglement of localized states", Phys. Rev. A v. 76, 042333 (2007) (arXiv:0704.2765 preprint ).

     ⚫39. J. Martin, B. Georgeot, D. L. Shepelyansky ``Loschmidt cooling by time reversal of atomic matter waves" Phys. Rev. Lett. v. 100, 044106 (2008) (arxiv:0710.4860 preprint ).

     ⚫40. Daniel Braun, Bertrand Georgeot, ``Interference versus success probability in quantum algorithms with imperfections", Phys. Rev. A v. 77, 022318 (2008) (arXiv:0711.1513 preprint ).

     ⚫41. J. Martin, O. Giraud and B. Georgeot, ``Multifractality and intermediate statistics in quantum maps" Phys. Rev. E (Rapid Communication) v. 77, 035201 (2008) (arXiv:0711.2029 preprint ).

     ⚫42. Marko Znidaric, Olivier Giraud and Bertrand Georgeot, ``How many CNOT gates does it take to generate a three-qubit state ?’’ Phys. Rev. A v. 77, 032320 (2008) (arXiv:0711.4021 preprint ).

     ⚫43. Bertrand Georgeot and Olivier Giraud ``Quantum computing of semiclassical formulas" Phys. Rev. E v. 77, 046218 (2008) (arXiv:0801.4660 preprint ).

     ⚫44. F. Lignières and B.Georgeot `` Wave chaos in rapidly rotating stars" Phys. Rev. E v. 78, 016215 (2008) (arXiv:0803.1737 preprint ).

     ⚫45. J. Martin, B. Georgeot and D. L. Shepelyansky ``Time reversal of Bose-Einstein condensates’’ Phys. Rev. Lett. v. 101, 074102 (2008) (arXiv:0804.3514 preprint ).

     ⚫46. O. Giraud, J. Martin and B. Georgeot ``Entropy of entanglement and multifractal exponents for random states’’ Phys. Rev. A 79, 032308 (2009) (arXiv:0807.3716 preprint ).

     ⚫47. J. Martin B. Georgeot and D. L. Shepelyansky ``Chaotic dynamics of a Bose-Einstein condensate coupled to a qubit’’ Phys. Rev. E 79, 066205 (2009) (arXiv:0812.5067 preprint ).

     ⚫48. I. García-Mata, O. Giraud and B. Georgeot ``Quantum computation of multifractal exponents through the quantum wavelet transform’’ Phys. Rev. A 79, 052321 (2009) (arXiv:0901.0108 preprint ).

     ⚫49. F. Lignières and B. Georgeot "Asymptotic analysis of high-frequency acoustic modes in rapidly rotating stars" A&A 500, 1173-1192 (2009) (arXiv:0903.1768 preprint ).

     ⚫50. B. Georgeot and F. Mila "Chirality of triangular antiferromagnetic clusters as a qubit" Phys. Rev. Lett. 104, 200502 (2010) (arXiv:0902.4652 preprint ).

     ⚫51. Olivier Giraud, Marko Znidaric and Bertrand Georgeot "Quantum circuit for three-qubit random states" Phys. Rev. A 80, 042309 (2009) (arXiv:0903.4109 preprint ).

     ⚫52. Olivier Giraud, Bertrand Georgeot and Dima L. Shepelyansky "Delocalization transition for the Google matrix" Phys. Rev. E 80, 026107 (2009) (arXiv:0903.5172 preprint ).

     ⚫53. Olivier Giraud, John Martin and Bertrand Georgeot " Entanglement and localization of wavefunctions" proceedings of the NATO Advanced Research Workshop ’Recent Advances in Nonlinear Dynamics and Complex System Physics’, Tashkent, Uzbekistan, 2008 ( arXiv:0907.3389 preprint ).

     ⚫54. G. L. Gattobigio, A. Couvert, B. Georgeot and D. Guéry-Odelin " Interaction of a propagating guided matter wave with a localized potential" New J. Phys. 12 085013 (2010) (arXiv:0912.2943 preprint ).

     ⚫55. B. Georgeot, O. Giraud, and D.L. Shepelyansky "Spectral properties of the Google matrix of the World Wide Web and other directed network" Phys. Rev. E 81, 056109 (2010) (arXiv:1002.3342 preprint ).

     ⚫56. Nicolas Destainville, Bertrand Georgeot and Olivier Giraud "Quantum algorithm for exact Monte Carlo sampling", Phys. Rev. Lett. 104, 250502 (2010) (arXiv:1003.1862 preprint ).

     ⚫57. John Martin, Ignacio García-Mata, Olivier Giraud, and Bertrand Georgeot "Multifractal wave functions of simple quantum maps", Phys. Rev. E 82, 046206 (2010) (arXiv:1007.1404 preprint ).

     ⚫58. F. Lignières, B. Georgeot and J. Ballot "P-modes in rapidly rotating stars : Looking for regular patterns in synthetic asymptotic spectra", Astronomische Nachrichten 331, 1053 (2010) ( paper ).

     ⚫59. K. M. Frahm, B. Georgeot and D. L. Shepelyansky "Universal Emergence of PageRank ", Journal of Physics A 44, 465101 (2011)(selected as insight by the Editors) (arXiv:1105.1062 preprint ).

     ⚫60. G. L. Gattobigio, A. Couvert, B. Georgeot and D. Guéry-Odelin "Exploring classically chaotic potentials with a matter wave quantum probe", Phys. Rev. Lett. 107, 254104 (2011) (the paper made the cover of the 16 december 2011 issue of Physical Review Letters) (arXiv:1105.1971 preprint ).

     ⚫61. Bertrand Georgeot and Olivier Giraud "The game of go as a complex network", Europhysics Letters 97, 68002 (2012) (selected as editor´s choice) (arXiv:1105.2470 preprint ).

     ⚫62. M. Pasek, B. Georgeot, F. Lignières, D. R. Reese "Regular modes in rotating stars", Phys. Rev. Lett. 107, 121101 (2011) (arXiv:1105.5586 preprint ).

     ⚫63. G. L. Gattobigio, A. Couvert, G. Reinaudi, B. Georgeot and D. Guéry-Odelin "Optically guided beam splitter for propagating matter waves", Phys. Rev. Lett. 109, 030403 (2012)(selected as Editor´s suggestion, with a synopsis in the APS journal Physics) (arXiv:1203.1220 preprint ).

     ⚫64. M. Pasek, F. Lignières, B. Georgeot and D. R. Reese "Regular Oscillation Sub-spectrum of Rapidly Rotating Stars", A&A 546, A11 (2012)(the paper made the cover of the october 2012 issue of A&A) (arXiv:1205.6689 preprint ).

     ⚫65. Ignacio García-Mata, John Martin, Olivier Giraud and Bertrand Georgeot "Multifractality of quantum wave packets", Phys. Rev. E 86, 056215 (2012) (arXiv:1207.1675 preprint ).

     ⚫66. Pierrick Cheiney, François Damon, Gabriel Condon, Bertrand Georgeot and David Guéry-Odelin, "Realization of tunnel barriers for matter waves using spatial gaps", Europhysics Letters 103, 50006 (2013) (arXiv:1302.1811 preprint ).

     ⚫67. M. Pasek and B. Georgeot, `` Regular and irregular pressure modes in rapidly rotating stars´´, book chapter of ``Studying Stellar Rotation and Convection´´, MJ Goupil, K. Belkacem, C. Neiner, F. Lignières, JJ Green Editors, Lecture Note in Physics, vol. 865 (Springer, 2013).

     ⚫68. Rémy Dubertrand, Ignacio García-Mata, Bertrand Georgeot, Olivier Giraud, Gabriel Lemarié and John Martin "Two scenarios for quantum multifractality breakdown", Phys. Rev. Lett. 112, 234101 (2014) (arXiv:1402.1658 preprint ).

     ⚫69. Vivek Kandiah, Bertrand Georgeot and Olivier Giraud, "Move ordering and communities in complex networks describing the game of go", Eur. Phys. J. B 87, 246 (2014) (arXiv:1405.6077 preprint ).

     ⚫70. F. Damon, G. Condon, P. Cheiney, A. Fortun, B. Georgeot, J. Billy and D. Guéry-Odelin, "Band gap structures for matter waves", Phys. Rev. A 92, 033614 (2015) (arXiv:1506.02528 preprint ).

     ⚫71. R. Dubertrand, I. García-Mata, B. Georgeot, O. Giraud, G. Lemarié and J. Martin, "Multifractality of quantum wave functions in the presence of perturbations", Phys. Rev. E 92, 032914 (2015) (arXiv:1506.05720 preprint ).

     ⚫72. A. Daza, A. Wagemakers, B. Georgeot, D. Guéry-Odelin and M. A. F. Sanjuán, "Basin entropy : a new tool to analyze uncertainty in dynamical systems", Scientific Reports 6, 31416 (2016) (arXiv:1605.02342 preprint ).

     ⚫73. F. Damon, B. Georgeot, and D. Guéry-Odelin, "Probing surface states with many-body wave packet scattering", Europhysics Letters 115, 20010 (2016) (arXiv:1603.00791 preprint ).

     ⚫74. R. Dubertrand, J. Billy, D. Guéry-Odelin, B. Georgeot, G. Lemarié, "Routes towards the experimental observation of the large fluctuations due to chaos assisted tunneling effects with cold atoms", Phys. Rev. A 94, 043621 (2016) (arXiv:1605.00931 preprint ).

     ⚫75. I. Garcia-Mata, O. Giraud, B. Georgeot, J. Martin, R. Dubertrand and G. Lemarié, "Scaling theory of the Anderson transition in random graphs : ergodicity and universality", Phys. Rev. Lett. 118, 166801 (2017) (arXiv:1609.05857 preprint ).

     ⚫76. E. Doggen, B. Georgeot and G. Lemarié, "Chaos-assisted tunneling in the presence of Anderson localization", Physical Review E 96, 040201(R) (2017) (arXiv:1610.00587 preprint ).

     ⚫77. A. Daza, B. Georgeot, D. Guery-Odelin, A. Wagemakers and M. Sanjuán, "Investigating chaotic dynamics and fractal structures with cold atoms", Phys. Rev. A 95, 013629 (2017) (arXiv:1702.02441 preprint ).

     ⚫78. C. Coquidé, B. Georgeot and O. Giraud, "Distinguishing humans from computers in the game of go : a complex network approach", EuroPhysics Letters 119, 48001 (2017)(selected as Editor´s choice) ( arXiv:1707.04044 preprint ).

     ⚫79. J. Martin, B. Georgeot, D. Guéry-Odelin and D. L. Shepelyansky "Kapitza stabilization of a repulsive Bose-Einstein condensate in an oscillating optical lattice", submitted (2017) ( arXiv:1709.07792 preprint ).

     ⚫80. A. Daza, A. Wagemakers, B. Georgeot, D. Guéry-Odelin and M. A.F. Sanjuán "Basin Entropy, a Measure of Final State Unpredictability and Its Application to the Chaotic Scattering of Cold Atoms", in "Chaotic, Fractional, and Complex Dynamics : New Insights and Perspectives. " (Springer Series in Understanding Complex Systems) (2018) .

     ⚫81. R. Smith, A. Basarab, B. Georgeot and D. Kouamé "Adaptive transform via quantum signal processing : application to signal and image denoising", submitted (2017).