[AG Guhr] [Uni Duisburg-Essen]

PD Dr. habil. Daniel Waltner

Komplexe Systeme, Quanten Chaos und Mesoskopische Physik

Office:    MG 323
Phone:    + 49 (0)203 379 4729
E-mail:   
  • Research interests

    • Quantum Chaos
    • Complex Systems
    • Interacting Many-Body Systems
    • Mesoscopic Physics
    • Quantum Network Models
    • Quantum Pumping
    • Statistical Physics and Random Matrix Theory
    • Supersymmetry
    • Computational Physics


  • Publications
    • Contributions to refreed journals:
      • Semiclassical Prediction of Large Spectral Fluctuations in Interacting Kicked Spin Chains
        M. Akila, B. Gutkin, P. Braun, D. Waltner and T. Guhr
        Ann. Phys. 389, 250 (2018)
        DOI: 10.1016/j.aop.2017.12.004 [arXiv]
      • Collectivity and Periodic Orbits in a Chain of Interacting, Kicked Spins
        M. Akila, D. Waltner, B. Gutkin, P. Braun and T. Guhr
        Acta Phys. Pol. 132, 1661 (2017)
        DOI:10.12693/APhysPolA.132.1661 [arXiv]
      • Semiclassical Identification of Periodic Orbits in a Quantum Many-Body System
        M. Akila, D. Waltner, B. Gutkin, P. Braun and T. Guhr
        Phys. Rev. Lett. 118, 164101 (2017)
        DOI: 10.1103/PhysRevLett.118.164101 [arXiv]
      • Stationary waves on nonlinear quantum graphs. II. Application of canonical perturbation theory in basic graph structures
        S. Gnutzmann and D. Waltner
        Phys. Rev. E 94, 062216 (2016)
        DOI: 10.1103/PhysRevE.94.062216 [arXiv]
      • Trace formula for interacting spins
        D. Waltner, P. Braun, M. Akila and T. Guhr
        J. Phys. A 50, 085304 (2017)
        DOI: 10.1088/1751-8121/aa5533 [arXiv]
      • Particle-time duality in the kicked Ising spin chain
        M. Akila, D. Waltner, B. Gutkin and T. Guhr
        J. Phys. A 49, 375101 (2016)
        DOI: 10.1088/1751-8113/49/37/375101 [arXiv]
      • Stationary waves on nonlinear quantum graphs: General framework and canonical perturbation theory
        S. Gnutzmann and D. Waltner
        Phys. Rev. E 93, 032204 (2016)
        DOI: 10.1103/PhysRevE.93.032204 [arXiv]
      • The Correlated Jacobi and the Correlated Cauchy-Lorentz Ensembles
        T. Wirtz, D. Waltner, M. Kieburg and S. Kumar
        J. Stat. Phys. 162, 495 (2016)
        DOI: 10.1007/s10955-015-1416-5 [arXiv]
      • Non-adiabatic quantum pumping by a randomly moving quantum dot
        S. Derevyanko and D. Waltner
        J. Phys. A 48 305302 (2015)
        DOI: 10.1088/1751-8113/48/30/305302 [arXiv]
      • Eigenvalue density of the doubly correlated Wishart model: exact results
        D. Waltner, T. Wirtz and T. Guhr
        J. Phys. A 48, 175204 (2015)
        DOI: 10.1088/1751-8113/48/17/175204" [arXiv]
      • Transmission through a noisy network
        D. Waltner and U. Smilansky
        J. Phys. A 47, 355101 (2014)
        DOI: 10.1088/1751-8113/47/35/355101 [arXiv]
      • Scattering from a Ring Graph - A Simple Model for the Study of Resonances
        D. Waltner and U. Smilansky
        Acta Phys. Pol. A 124, 1087 (2013)
        DOI: 10.12693/APhysPolA.124.1087
      • Subdeterminant approach for pseudo-orbit expansions of spectral determinants in quantum maps and quantum graphs
        D. Waltner, S. Gnutzmann, G. Tanner and K. Richter
        Phys. Rev. E 87, 052919 (2013)
        DOI: 10.1103/PhysRevE.87.052919 [arXiv]
      • Conductance fluctuations in chaotic systems with tunnel barriers
        D. Waltner, J. Kuipers, P. Jacquod and K. Richter
        Phys. Rev. B 85, 024302 (2012)
        DOI: 10.1103/PhysRevB.85.024302 [arXiv]
      • Ehrenfest-time dependence of counting statistics for chaotic ballistic systems
        D. Waltner, J. Kuipers and K. Richter
        Phys. Rev. B 83, 195315 (2011)
        DOI: 10.1103/PhysRevB.83.195315 [arXiv]
      • Density of states of chaotic Andreev billiards
        11. J. Kuipers, T. Engl, G. Berkolaiko, C. Petitjean, D. Waltner and K. Richter
        Phys. Rev. B 83, 195316 (2011)
        DOI: 10.1103/PhysRevB.83.195316 [arXiv]
      • Ehrenfest-time dependence of quantum transport corrections and spectral statistics
        D. Waltner and J. Kuipers
        Phys. Rev. E 82, 066205 (2010)
        DOI: 10.1103/PhysRevE.82.066205 [arXiv]
      • Quantum corrections to fidelity decay in chaotic systems
        B. Gutkin, D. Waltner, M. Gutiérrez, J. Kuipers and K. Richter
        Phys. Rev. E 81, 036222 (2010)
        DOI: 10.1103/PhysRevE.81.036222 [arXiv]
      • Semiclassical Gaps in the Density of States of Chaotic Andreev Billiards
        J. Kuipers, D. Waltner, C. Petitjean, G. Berkolaiko and K. Richter
        Phys. Rev. Lett. 104, 027001 (2010)
        DOI: 10.1103/PhysRevLett.104.027001 [arXiv]
      • Semiclassical approach to the ac conductance of chaotic cavities
        C. Petitjean, D. Waltner, J. Kuipers, I. Adagideli and K. Richter
        Phys. Rev. B 80, 115310 (2009)
        DOI: 10.1103/PhysRevB.80.115310 [arXiv]
      • The semiclassical origin of curvature effects in universal spectral statistics
        D. Waltner, S. Heusler, J.-D. Urbina and K. Richter
        J. Phys. A 42, F292001 (2009)
        DOI: 10.1088/1751-8113/42/29/292001 [arXiv]
      • The semiclassical continuity equation for open chaotic systems
        J. Kuipers, D. Waltner, M. Gutiérrez and K. Richter
        Nonlinearity 22, 1945 (2009)
        DOI: 10.1088/0951-7715/22/8/010 [arXiv]
      • Semiclassical theory for decay and fragmentation processes in chaotic quantum systems
        M. Gutiérrez, D. Waltner, J. Kuipers and K. Richter
        Phys. Rev. E 79, 046212 (2009)
        DOI: 10.1103/PhysRevE.79.046212 [arXiv]
      • Semiclassical Mechanism for the Quantum Decay in Open Chaotic Systems
        D. Waltner, M. Gutiérrez, A. Goussev and K. Richter
        Phys. Rev. Lett. 101, 174101 (2008)
        DOI: 10.1103/PhysRevLett.101.174101 [arXiv]
      • Loschmidt echo for local perturbations: non-monotonic cross-over from the Fermi-golden-rule to the escape-rate regime
        A. Goussev, D. Waltner, K. Richter and R. A. Jalabert
        New J. Phys. 10, 093010 (2008)
        DOI: 10.1088/1367-2630/10/9/093010 [arXiv]
      • Semiclassical theory of ballistic transport through chaotic cavities with spin-orbit interaction
        J. Bolte and D. Waltner
        Phys. Rev. B 76, 075330 (2007)
        DOI: 10.1103/PhysRevB.76.075330 [arXiv]
    • Books:
      • Semiclassical Approach to Mesoscopic Systems; Classical Trajectory Correlations and Wave Interference
        D. Waltner
        Springer Tracts in Modern Physics, Vol. 245, Heidelberg, (2012)







      • Spin-Bahn Kopplung in Mesoskopischer Physik: Ein semiklassischer Zugang
        D. Waltner
        VDM Verlag, Saarbrücken (2011)






      • Classical Correlations and Quantum Interference in Ballistic Conductors
        D. Waltner and K. Richter
        in: Nonlinear Dynamics of Nanosystems, G. Radons, B. Rumpf and H.G. Schuster (editors)
        Wiley VCH, Weinheim (2010)