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Publications & Preprints

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Project C4: Random matrics in chaotic and complex systems

2015

How two spins can thermalize a third spin
S. Kleinbölting, R. Klesse
arXiv:1411.2489
Phys. Rev. E91 (2015) 052101/1-4
Monogamy of entanglement and improved mean-field ansatz for spin lattices
A. Osterloh, R. Schützhold
arXiv:1406.0311
Phys. Rev. B 91, 125114 (2015)
SL-invariant entanglement measures in higher dimensions: the case of spin 1 and 3/2
A. Osterloh
arXiv:1309.6235
J. Phys. A48 (2015) 065303/1-14
Dicke superradiance as a nondestructive probe for quantum quenches in optical lattices
N. ten Brinke, R. Schützhold
arXiv:1403.4800
Phys. Rev. A 92, 013617 (2015)

2014

Spectral Statistics in Directed Complex Networks and Universality of the Ginibre Ensemble
B. Ye, L. Qiu, X. Wang and T. Guhr

Nonlinear Sci. 20 (2014) 1026-1032
Quasi-particle approach for general lattice Hamiltonians with Large Coordination Numbers
P. Navez, F. Queisser, R. Schützhold
arXiv:1303.4112
J. Phys. A47 (2014) 225004/1-17

2013

Unitary quantum gates, perfect entanglers and unistochastic maps
M. Musz, M. Kus, K. Zyczkowski
arXiv:1211.3287
Phys. Rev. A 87, 022111 (2013)
Extremal spacings between eigenphases of random unitary matrices and their tensor products
M. Smaczynski, T. Tkocz, M. Kus, K. Zyczkowski
arXiv:1204.3023
Random matrix ensembles: Wang-Landau algorithm for spectral densities
S. Kumar
arXiv:1301.5179
Europhysics Letters, Volume 101 (2013) 20002/1-6
Area law for random graph states
B. Collins, I. Nechita, K. Zyczkowski
arXiv:1302.0709
J. Phys. A: Math. Theor. 46 (2013) 305302

2012

Induced Ginibre ensemble of random matrices and quantum operations
J. Fischmann, W. Bruzda, B.A. Khoruzhenko, et al.
abstract math-ph/1107.5019
J. Phys. A 45, 075203 (2012)
Tensor Products of Random Unitary Matrices
T. Tkocz, M. Smaczynski, M. Kus, O. Zeitouni, K. Zyczkowski
arXiv:1203.3818
Random Matrices: Theory and Applications, 1, 1250009 (2012)

2011

2010

Random graph states, maximal flow and Fuss-Catalan distributions
B. Collins, I. Nechita, K. Zyczkowski
abstract cond-mat/1003.3075
J. Phys. A: Math. Theor. 43 (2010) 275303
Correlations of RMT Characteristic Polynomials and Integrability: Hermitean Matrices
V. Al. Osipov, E. Kanzieper
abstract cond-mat/1003.0757
Universality of spectra for interacting quantum chaotic systems
W. Bruzda, M. Smaczynski, V. Cappellini, H.-J. Sommers, K. Zyczkowski
abstract cond-mat/1003.2931
Random Bures mixed states and the distribution of their purity
V. Al. Osipov, H-J. Sommers, K. Zyczkowski
abstract cond-mat/0909.5094
J. Phys. A: Math. Theor. 43 055302 (2010)
Exact Fidelity and Full Fidelity Statistics in Regular and Chaotic Surroundings
H. Kohler, H-J. Sommers, S. Aberg, T. Guhr
abstract cond-mat/0912.3180
Phys. Rev. E81, 050103(R)–1-4 (2010)
The chiral Gaussian two-matrix ensemble of real asymmetric matrices
G. Akemann, M.J. Phillips, H.-J. Sommers
abstract cond-mat/0911.1276
J.Phys.A43:085211,2010
Dynamical scaling for critical states: Validity of Chalker's ansatz for strong fractality
V.E. Kravtsov, A. Ossipov, O.M. Yevtushenko and E. Cuevas
abstract cond-mat/1008.2694
Phys. Rev. B 82, 161102(R) (2010)
Truncations of Random Orthogonal Matrices
B. A. Khoruzhenko, H.-J. Sommers and K. Zyczkowski
arXiv:1008.2075
Phys Rev E. (2010) (in press)
Spectral problem of block-rectangular hierarchical matrices
B. Gutkin, V.Al. Osipov
abstract math-ph/1011.0029
Truncations of random orthogonal matrices
B.A. Khoruzhenko, H.J. Sommers, K. Zyczkowski
abstract cond-mat/1008.2075
Phys. Rev. E 82, 040106(R) (2010)
Universality of spectra for interacting quantum chaotic systems
W. Bruzda, M. Smaczynski, V. Cappellini, et al.
abstract quant-ph/1003.2931
Phys. Rev. E 81, 066209 (2010)
Survival probability of a doorway state in regular and chaotic
H. Kohler, H.J. Sommers, S. Aberg
abstract quant-ph/0912.3174
J. Phys. A 43:21, 215102 (2010)
Exact fidelity and full fidelity statistics in regular and
H. Kohler, H.J. Sommers, S. Aberg, et al.
abstract cond-mat/0912.3180
Phys. Rev. E 81: 5, 050103 (2010)

2009

Systematic approach to statistics of conductance and shot-noise in chaotic cavities
B. A. Khoruzhenko, D. V. Savin, H.-J. Sommers
abstract cond-mat/0906.0161v1
Comparison of the superbosonization formula and the generalized Hubbard-Stratonovich transformation
Mario Kieburg, Hans-Jürgen Sommers, Thomas Guhr
abstract cond-mat/0905.3256
Phys. A: Math. Theor. 42, 275206, (2009)
Schur function averages for the real Ginibre ensemble
Hans-Juergen Sommers, Boris A Khoruzhenko
abstract cond-mat/0903.5071
J. Phys. A: Math. Theor. 42 (2009) 222002
Statistics of thermal to shot noise crossover in chaotic cavities
Vladimir Al. Osipov, Eugene Kanzieper
abstract cond-mat/0902.3069
Integrable theory of quantum transport in chaotic cavities
Vladimir Al. Osipov, Eugene Kanzieper
cond-mat/0806.2784
Phys.Rev.Lett.101:176804,2008
Survival Probability of a Doorway State in regular and chaotic environments
H. Kohler, H- J. Sommers, S. Aberg
abstract cond-mat/0912.3174
J. Phys. A43, 215102– 1-16 (2010)
Non-Hermitian Random Matrix Ensembles
B.A. Khoruzhenko, H.-J. Sommers
abstract cond-mat/0911.5645

2008

Nonlinear statistics of quantum transport in chaotic cavities
D. V. Savin, H.-J. Sommers, W. Wieczorek
abstract cond-mat 0711.1764v1
General Eigenvalue Correlations for the Real Ginibre Ensemble
HJ. Sommers, W. Wieczorek
abstract cond-mat/0806.2756
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Volume: 41Issue: 40 Article Number: 40500
Superbosonization of invariant random matrix ensembles
P. Littelmann, H.-J. Sommers, MR. Zirnbauer
abstract cond-mat/0707.2929
Commun. Math. Phys. 283 (2008) 343
Nonlinear statistics of quantum transport in chaotic cavities
DV. Savin, HJ. Sommers, W. Wieczorek
abstract cond-mat/0711.1764
Characteristic polynomials in real Ginibre ensembles
G. Akemann, M.J. Phillips, H.-J. Sommers
abstract cond-mat/0810.1458
Integrable theory of quantum transport in chaotic cavities
V. Al. Osipov, E. Kanzieper
abstract cond-mat/0806.2784
Phys.Rev.Lett.101:176804,2008

2007

Superbosonization
Hans-Jürgen Sommers
abstract cond-mat:0710.5375
ACTA PHYSICA POLONICA A vol. 112(2007) 691-697
Symplectic Structure of the Real Ginibre Ensemble
Hans-Jürgen Sommers
abstract cond-mat/0706.1671
Subnormalized states and trace-nonincreasing maps
V. Cappellini, H.-J. Sommers, K. Zyczkowski
abstract quant-ph/0701143
J. Math. Phys. 48(5), 052110 (2007)
The density of stationary points in a high-dimensional random energy landscape and the onset of glassy behaviour
Y. V. Fyodorov, H-J Sommers, I. Williams
abstact cond-mat/0611585
JETP Letters, vol. 85 (2007) pp. 261-266
Classical Particle in a Box with Random Potential: exploiting rotational symmetry of replicated Hamiltonian
Y. V. Fyodorov, H.-J. Sommers
abstract cond-mat/0610035
Nuclear Physics B, v. 764 [FS], 128-167 (2007)
Nonlinear statistics of quantum transport in chaotic cavities
D. V. Savin, H.-J. Sommers, W. Wieczorek
abstract cond-mat/0711.1764
Nonlinear dynamics in constructing random bistochastic matrices
V. Cappellini, H.-J. Sommers, W. Bruzda, K. Zyczkowski
abstract cond-mat/0711.3345
Statistics of conductance and shot-noise power for chaotic cavities
H.-J. Sommers, W. Wieczorek, D.V. Savin
abstract cond-mat:0710.5370
ACTA PHYSICA POLONICA A vol. 112(2007) 691-697

2006

Distribution of G-concurrence of random pure states
V. Cappellini, H.-J. Sommers, K. Zyczkowski
abstract quant-ph/0605251
Phys. Rev. A 74(6), 062322 (2006)
Energy correlations for a random matrix model of disordered bosons
T. Lueck, H.-J. Sommers, M.R. Zirnbauer
abstract cond-mat/0607243
J. Math. Phys. 47 (2006) 103304
Shot noise in chaotic cavities with an arbitrary number of open channels
D. V. Savin, H.-J. Sommers
abstract cond-mat/0512620
Phys. Rev. B 73, 081307 (R) (2006)
Correlation functions of impedance and scattering matrix elements in chaotic absorbing cavities
D. V. Savin, Y. V. Fyodorov, H.-J. Sommers
abstract nlin.CD/0506040
Acta Phys. Pol. A. 109, 53-64 (2006)

2005

Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption
Y. V. Fyodorov, D. V. Savin, H.-J. Sommers
abstract cond-mat/0507016
J Phys. A: Math. Gen., 38,10731 (2005)
Universal statistics of the local Green function in quantum chaotic systems with absorption
D. V. Savin, H.-J. Sommers, Y. V. Fyodorov
abstract cond-mat/0502359
JETP Letters 82, 544 (2005) [Pis´ma v ZhETP 82, 603(2005)
Average fidelity between random quantum states
K. Zyczkowski and H.-J. Sommers
abstract quant-ph/0311117
Phys. Rev. A 71, 032313 (2005)

2004

Statistics of Impedance, Local Density of States, and Reflection in Quantum Chaotic Systems with Absorption
Yan V. Fyodorov, Dmitry V. Savin
abstract cond-mat/0409084
JETP Letters 80, 725 (2004) [Pis'ma v ZhETP 80, 855 (2004)
Distribution of reflection eigenvalues in many-channel chaotic cavities with absorption
D.V. Savin, H.-J. Sommers
abstract cond-mat/0311285
Phys. Rev. E 69, 035201(R) (2004)
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