​Prof. Dr. Boris Gutkin

Quantum Chaos, Dynamical Systems 

Room:    MG 326  
Email

• Curriculum Vitae
  
  
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• Research interests
  
  
  • Quantum Chaos
  • Dynamical Systems
  • Mathematical Physics
  • Random Matrix Theory
  
   
• Teaching Experience
  
  
  • Lecturer on Group Theory, Lecture Notes 
  • Lecturer on Quantum Chaos
  • Supervision and co-supervision of master, diploma and PhD students
  
   
• Grants
  
  
  • Principle investigator: DFG grant "Semiclassical foundations of single particle and collective phenomena in quantum chaos." Period: 2010-2015 (extended till 2017)
  • Investigator: DFG collaborative research grant SFB/TR12 - "Symmetries and Universality in Mesoscopic Systems." Period: 2011-2015
  
   
• Publications

   

  • Maram Akila, Daniel Waltner, Boris Gutkin, Petr Braun, Thomas Guhr
    Semiclassical Identification of Periodic Orbits in a Quantum Many-Body System
    preprint: arXiv:1611.05749 

  • M. Akila, D. Waltner, B. Gutkin and T. Guhr
    Particle-time duality in the kicked Ising spin chain
    J. Phys. A 49 375101 (2016), preprint: arXiv:1602.07130 and arXiv:1602.07479    On cover page

  • Boris Gutkin and Vladimir Osipov
    Classical foundations of many-particle quantum chaos
    Nonlinearity 29 (2), 325 (2016), preprint: arXiv:1503.02676 

  • J. Freese, B. Gutkin and T. Guhr
    Spreading in integrable and non-integrable many-body Systems
    Physica A 461 (2016) 683-693 preprint: arXiv:1409.5764 

  • Maram Akila and Boris Gutkin
    Spectral statistics of nearly unidirectional quantum graphs
    J. Phys. A 48, 345101 (2015); preprint: arXiv:1503.01342    On cover page

  • B. Gutkin and V.A. Osipov
    Universality in spectral statistics of "open" quantum graphs
    Phys. Rev. E 91, 060901 (2015); preprint: arXiv:1308.2356 

  • B. Dietz, T. Guhr, B. Gutkin, M. Miski-Oglu and A. Richter
    Spectral properties and dynamical tunneling in constant-width billiards 
    Phys. Rev. E 90, 022903 (2014); preprint: arXiv:1407.6630    Editors' Suggestion

  • B. Gutkin and V.A. Osipov
    Clustering of periodic orbits in chaotic systems
    Nonlinearity 26, 177 (2013) 

  • B. Gutkin and V.A. Osipov
    Clustering of Periodic Orbits and Ensembles of Truncated Unitary Matrices
    J. Stat. Phys. 153, 1049 - 1064 (2013) 

  • B. Gutkin
    Spectral Statistics of "Cellular" Billiards
    Nonlinearity 24, 1743 (2011); preprint:  arXiv:1010.0276 

  • J. Hämmerling, B. Gutkin and T. Guhr
    Collective vs. single-particle motion in quantum many-body systems: Spreading and its semiclassical interpretation in the perturbative regime
    Eur. Phys. Lett. 96, 20007 (2011); preprint:  arXiv:1012.3111 

  • B. Gutkin and V.Al. Osipov
    Counting of Sieber-Richter pairs of periodic orbits
    preprint: arXiv:1109.3329 

  • B. Gutkin and V.Al. Osipov
    Spectral problem of block-rectangular hierarchical matrices
    J. Stat. Phys. 143, 72 (2011); preprint: arXiv:1011.0029 

  • J. Hammerling, B. Gutkin and T. Guhr 
    Collective versus Single--Particle Motion in Quantum Many--Body Systems from the Perspective of an Integrable Model
    J. Phys. A 43, 265101 (2010); preprint arXiv:0911.2724 

  • B. Gutkin, D. Waltner, M. Gutierrez, J. Kuipers, K. Richter 
    Semiclassical Theory of Quantum Fidelity Decay in Chaotic Systems 
    Phys. Rev. E 81, 036222 (2010); preprint arXiv:0911.0823 

  • B. Gutkin
    Entropic bounds on semiclassical measures for quantized one-dimensional maps 
    Commun. Math. Phys. 294 303 (2010); preprint arXiv:0802.3400 

  • B. Gutkin
    Note on converse quantum ergodicity
    Proc. Amer. Math. Soc. 137 2795-2800 (2009)  

  • B. Gutkin
    Dynamical "breaking" of time reversal symmetry 
    J. Phys. A: Math. Gen.40, F761-F769 (2007); preprint arXiv:0704.3289 

  • E. Avron, B. Gutkin, D. Oaknin 
    Adiabatic Swimming in an Ideal Quantum Gas 
    Phys. Rev. Lett. 96, 130602 (2006); preprint arXiv:cond-mat/0508692 

  • B. Gutkin
    Can billiard eigenstates be approximated by a superposition of plane waves? 
    J. Phys. A: Math. Gen.36, 8603-8622 (2003) ; preprint arXiv:nlin/0301031 

  • B. Gutkin, U. Smilansky 
    Can one hear the shape of a graph? 
    J. Phys. A: Math. Gen.34, 6061-6068 (2001); preprint arXiv:nlin/0105020 

  • B. Gutkin 
    Hyperbolic magnetic billiards on surfaces of constant curvature 
    J. Commun. Math. Phys. 217, 33-53 (2001); preprint arXiv:nlin/0003033 

  • B. Gutkin, U. Smilansky, E. Gutkin 
    Hyperbolic billiards on surfaces of constant curvature 
    J. Commun. Math. Phys. 208, 65-90 (1999) ; preprint arXiv:chao-dyn/9905030

  
   

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