301 citations · 1.8k across the 39 of their papers we have counts for
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New approach to periodic orbit theory of spectral correlations
Petr Braun, Daniel Waltner
The existing periodic orbit theory of spectral correlations for classically chaotic systems relies on the Riemann-Siegel-like representation of the spectral determinants which is s…
Collectivity and Periodic Orbits in a Chain of Interacting, Kicked Spins
Maram Akila, Daniel Waltner, Boris Gutkin +2
The field of quantum chaos originated in the study of spectral statistics for interacting many-body systems, but this heritage was almost forgotten when single-particle systems mov…
Semiclassical Identification of Periodic Orbits in a Quantum Many-Body System
Maram Akila, Daniel Waltner, Boris Gutkin +2
While a wealth of results has been obtained for chaos in single-particle quantum systems, much less is known about chaos in quantum many-body systems. We contribute to recent effor…
Arithmetic and pseudo-arithmetic billiards
Petr Braun
The arithmetic triangular billiards are classically chaotic but have Poissonian energy level statistics, in ostensible violation of the BGS conjecture. We show that the length spec…
Self-averaging characteristics of spectral fluctuations
Petr Braun, Fritz Haake
The spectral form factor as well as the two-point correlator of the density of (quasi-)energy levels of individual quantum dynamics are not self-averaging. Only suitable smoothing…
Chaotic maps and flows: Exact Riemann-Siegel lookalike for spectral fluctuations
P. Braun, F. Haake
To treat the spectral statistics of quantum maps and flows that are fully chaotic classically, we use the rigorous Riemann-Siegel lookalike available for the spectral determinant o…
Beyond the Heisenberg time: Semiclassical treatment of spectral correlations in chaotic systems with spin 1/2
Petr Braun
The two-point correlation function of chaotic systems with spin 1/2 is evaluated using periodic orbits. The spectral form factor for all times thus becomes accessible. Equivalence…
Correlations between spectra with different symmetry: any chance to be observed?
P. Braun, F. Leyvraz, T. H. Seligman
A standard assumption in quantum chaology is the absence of correlation between spectra pertaining to different symmetries. Doubts were raised about this statement for several reas…
Level statistics in arithmetical and pseudo-arithmetical chaos
Petr Braun, Fritz Haake
We resolve a long-standing riddle in quantum chaos, posed by certain fully chaotic billiards with constant negative curvature whose periodic orbits are highly degenerate in length.…
Near action-degenerate periodic-orbit bunches: A skeleton of chaos
Alexander Altland, Petr Braun, Fritz Haake +3
Long periodic orbits of hyperbolic dynamics do not exist as independent individuals but rather come in closely packed bunches. Under weak resolution a bunch looks like a single orb…
Semiclassical Theory for Universality in Quantum Chaos with Symmetry Crossover
Keiji Saito, Taro Nagao, Sebastian Muller +1
We address the quantum-classical correspondence for chaotic systems with a crossover between symmetry classes. We consider the energy level statistics of a classically chaotic syst…
Periodic-orbit theory of universal level correlations in quantum chaos
Sebastian Müller, Stefan Heusler, Alexander Altland +2
Using Gutzwiller's semiclassical periodic-orbit theory we demonstrate universal behaviour of the two-point correlator of the density of levels for quantum systems whose classical l…
Semiclassical spectral correlator in quasi one-dimensional systems
Petr Braun, Sebastian Müller, Fritz Haake
We investigate the spectral statistics of chaotic quasi one dimensional systems such as long wires. To do so we represent the spectral correlation function through derivativ…
Periodic-Orbit Theory of Level Correlations
Stefan Heusler, Sebastian Müller, Alexander Altland +2
We present a semiclassical explanation of the so-called Bohigas-Giannoni-Schmit conjecture which asserts universality of spectral fluctuations in chaotic dynamics. We work with a g…
Semiclassical Theory for Parametric Correlation of Energy Levels
Taro Nagao, Petr Braun, Sebastian Müller +3
Parametric energy-level correlation describes the response of the energy-level statistics to an external parameter such as the magnetic field. Using semiclassical periodic-orbit th…
Periodic-Orbit Theory of Universality in Quantum Chaos
Sebastian Müller, Stefan Heusler, Petr Braun +2
We argue semiclassically, on the basis of Gutzwiller's periodic-orbit theory, that full classical chaos is paralleled by quantum energy spectra with universal spectral statistics,…
Semiclassical Foundation of Universality in Quantum Chaos
Sebastian Müller, Stefan Heusler, Petr Braun +2
We sketch the semiclassical core of a proof of the so-called Bohigas-Giannoni-Schmit conjecture: A dynamical system with full classical chaos has a quantum energy spectrum with uni…
Universal spectral form factor for chaotic dynamics
Stefan Heusler, Sebastian Müller, Petr Braun +1
We consider the semiclassical limit of the spectral form factor of fully chaotic dynamics. Starting from the Gutzwiller type double sum over classical periodic orbits we set…
Near action degeneracy of periodic orbits in systems with non-conventional time reversal
P. A. Braun, F. Haake, S. Heusler
Recently, Sieber and Richter calculated semiclassically a first off-diagonal contribution to the orthogonal form factor for a billiard on a surface of constant negative curvature b…
Resonances of the Frobenius-Perron Operator for a Hamiltonian Map with a Mixed Phase Space
Joachim Weber, Fritz Haake, Petr A. Braun +2
Resonances of the (Frobenius-Perron) evolution operator P for phase-space densities have recently attracted considerable attention, in the context of interrelations between classic…