Near action-degenerate periodic-orbit bunches: A skeleton of chaos (2009)
Altland, Alexander, Braun, Petr, Haake, Fritz, Heusler, Stefan, Knieper, Gerhard, Müller, Sebastian
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 orbit in configuration...
Periodic-orbit theory of universal level correlations in quantum chaos (2009)
Müller, Sebastian, Heusler, Stefan, Altland, Alexander, Braun, Petr, Haake, Fritz
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 limit is fully...
Semiclassical spectral correlator in quasi one-dimensional systems (2008)
Braun, Petr, Müller, Sebastian, Haake, Fritz
We investigate the spectral statistics of chaotic quasi one dimensional systems such as long wires. To do so we represent the spectral correlation function $R(\epsilon)$ through derivatives of a...
Quantum measurements without macroscopic superpositions (2007)
Spehner, Dominique, Haake, Fritz
We study a class of quantum measurement models. A microscopic object is entangled with a macroscopic pointer such that each eigenvalue of the measured object observable is tied up with a specific...
Unversality of decoherence in the macroworld (2007)
Strunz, Walter T., Haake, Fritz, Braun, Daniel
We consider environment induced decoherence of quantum superpositions to mixtures in the limit in which that process is much faster than any competing one generated by the Hamiltonian $H_{\rm sys}$...
Universality of Decoherence (2007)
Braun, Daniel, Haake, Fritz, Strunz, Walter T.
We consider environment induced decoherence of quantum superpositions to mixtures in the limit in which that process is much faster than any competing one generated by the Hamiltonian $H_{\rm sys}$...
Long-lived Quantum Coherence between Macroscopically Distinct States in Superradiance (2007)
Braun, Daniel, Braun, Petr A., Haake, Fritz
The dephasing influence of a dissipative environment reduces linear superpositions of macroscopically distinct quantum states (sometimes also called Schr\"odinger cat states) usually almost...
Slow Decoherence of Superpositions of Macroscopically Distinct States (2007)
Braun, Daniel, Braun, Petr A., Haake, Fritz
Linear superpositions of macroscopically distinct quantum states (sometimes also called Schr\"odinger cat states) are usually almost immediately reduced to a statistical mixture if exposed to the...
Semiclassical spin damping: Superradiance revisited (2007)
Braun, Petr A., Braun, Daniel, Haake, Fritz, Weber, Joachim
A well known description of superradiance from pointlike collections of many atoms involves the dissipative motion of a large spin. The pertinent ``superradiance master equation'' allows for a...
Semiclassical Approach to Chaotic Quantum Transport (2006)
Müller, Sebastian, Heusler, Stefan, Braun, Petr, Haake, Fritz
We describe a semiclassical method to calculate universal transport properties of chaotic cavities. While the energy-averaged conductance turns out governed by pairs of entrance-to-exit trajectories,...
Periodic-Orbit Theory of Level Correlations (2006)
Heusler, Stefan, Müller, Sebastian, Altland, Alexander, Braun, Petr, Haake, Fritz
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 generating function...
Semiclassical Theory for Parametric Correlation of Energy Levels (2006)
Nagao, Taro, Braun, Petr, Müller, Sebastian, Saito, Keiji, Heusler, Stefan, Haake, Fritz
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 theory for a chaotic...
Semiclassical Prediction for Shot Noise in Chaotic Cavities (2005)
Braun, Petr, Heusler, Stefan, Müller, Sebastian, Haake, Fritz
We show that in clean chaotic cavities the power of shot noise takes a universal form. Our predictions go beyond previous results from random-matrix theory, in covering the experimentally relevant...
Overdamping by weakly coupled environments (2005)
Esposito, Massimiliano, Haake, Fritz
A quantum system weakly interacting with a fast environment usually undergoes a relaxation with complex frequencies whose imaginary parts are damping rates quadratic in the coupling to the...
Semiclassical Theory of Chaotic Conductors (2005)
Heusler, Stefan, Müller, Sebastian, Braun, Petr, Haake, Fritz
We calculate the Landauer conductance through chaotic ballistic devices in the semiclassical limit, to all orders in the inverse number of scattering channels without and with a magnetic field....
Periodic-Orbit Theory of Universality in Quantum Chaos (2005)
Müller, Sebastian, Heusler, Stefan, Braun, Petr, Haake, Fritz, Altland, Alexander
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, in agreement with...
Semiclassical Foundation of Universality in Quantum Chaos (2004)
Müller, Sebastian, Heusler, Stefan, Braun, Petr, Haake, Fritz, Altland, Alexander
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 universal fluctuations...
Universal spectral form factor for chaotic dynamics (2003)
Heusler, Stefan, Müller, Sebastian, Braun, Petr, Haake, Fritz
We consider the semiclassical limit of the spectral form factor $K(\tau)$ of fully chaotic dynamics. Starting from the Gutzwiller type double sum over classical periodic orbits we set out to recover...
Quantum statistics of overlapping modes in open resonators (2003)
Hackenbroich, Gregor, Viviescas, Carlos, Haake, Fritz
We study the quantum dynamics of optical fields in weakly confining resonators with overlapping modes. Employing a recently developed quantization scheme involving a discrete set of resonator modes...
Quantization of Classical Maps with tunable Ruelle-Pollicott Resonances (2003)
Ostruszka, Andrzej, Manderfeld, Christopher, Zyczkowski, Karol, Haake, Fritz
We investigate the correspondence between the decay of correlation in classical system, governed by Ruelle--Pollicott resonances, and the properties of the corresponding quantum system. For this...
Braun, Peter A., Heusler, Stefan, Müller, Sebastian, Haake, Fritz
Employing symbolic dynamics for geodesic motion on the tesselated pseudosphere, the so-called Hadamard-Gutzwiller model, we construct extremely long periodic orbits without compromising accuracy. We...
Decoherence scenarios from micro- to macroscopic superpositions (2002)
Strunz, Walter T., Haake, Fritz
Environment induced decoherence entails the absence of quantum interference phenomena from the macroworld. The loss of coherence between superposed wave packets depends on their separation. The...
Unversality of decoherence in the macroworld (2002)
Strunz, Walter T., Haake, Fritz, Braun, Daniel
We consider environment induced decoherence of quantum superpositions to mixtures in the limit in which that process is much faster than any competing one generated by the Hamiltonian $H_{\rm sys}$...
Narducci,Lorenzo M., Walls,Daniel F., Haake,Fritz
This document is the program for the titled symposia. It contains the titles for the papers presented. These are: Collisions Induced Coherence; Photon Statistics, Coherence and Chaos in Optics;...
Haake,Fritz, Narducci,Lorenzo M., Walls,Daniel
Partial Contents: STATISTICAL PHYSICS; Fractal singularities in a measure and how to measure singularities on a fractal; Quantum kinetic Heisenberg models: a unique dynamics; The kinetic boundary...
Classical versus Quantum Time Evolution of Densities at Limited Phase-Space Resolution (2001)
Manderfeld, Christopher, Weber, Joachim, Haake, Fritz
We study the interrelations between the classical (Frobenius-Perron) and the quantum (Husimi) propagator for phase-space (quasi-)probability densities in a Hamiltonian system displaying a mix of...
Resonances of the Frobenius-Perron Operator for a Hamiltonian Map with a Mixed Phase Space (2001)
Weber, Joachim, Haake, Fritz, Braun, Petr A., Manderfeld, Christopher, Seba, Petr
Resonances of the (Frobenius-Perron) evolution operator P for phase-space densities have recently attracted considerable attention, in the context of interrelations between classical and quantum...
Universality of Decoherence (2000)
Braun, Daniel, Haake, Fritz, Strunz, Walter T.
We consider environment induced decoherence of quantum superpositions to mixtures in the limit in which that process is much faster than any competing one generated by the Hamiltonian $H_{\rm sys}$...
Level Dynamics and Universality of Spectral Fluctuations (2000)
Braun, Peter, Gnutzmann, Sven, Haake, Fritz, Kus, Marek, Zyczkowski, Karol
The spectral fluctuations of quantum (or wave) systems with a chaotic classical (or ray) limit are mostly universal and faithful to random-matrix theory. Taking up ideas of Pechukas and Yukawa we...
Frobenius-Perron Resonances for Maps with a Mixed Phase Space (2000)
Weber, Joachim, Haake, Fritz, Seba, Petr
Resonances of the time evolution (Frobenius-Perron) operator P for phase space densities have recently been shown to play a key role for the interrelations of classical, semiclassical and quantum...
Haake, Fritz, Sommers, Hans-Juergen, Weber, Joachim
We consider the spectral form factor of random unitary matrices as well as of Floquet matrices of kicked tops. For a typical matrix the time dependence of the form factor looks erratic; only after a...
Long-lived Quantum Coherence between Macroscopically Distinct States in Superradiance (1999)
Braun, Daniel, Braun, Petr A., Haake, Fritz
The dephasing influence of a dissipative environment reduces linear superpositions of macroscopically distinct quantum states (sometimes also called Schr\"odinger cat states) usually almost...
Slow Decoherence of Superpositions of Macroscopically Distinct States (1999)
Braun, Daniel, Braun, Petr A., Haake, Fritz
Linear superpositions of macroscopically distinct quantum states (sometimes also called Schr\"odinger cat states) are usually almost immediately reduced to a statistical mixture if exposed to the...
Superradiant Laser: First-Order Phase Transition and Non-stationary Regime (1998)
Wiele, Christian, Haake, Fritz, Rzazewski, Kazimierz
We solve the superradiant laser model in two limiting cases. First the stationary low-pumping regime is considered where a first-order phase transition in the semiclassical solution occurs. This...
Braun, Petr A., Braun, Daniel, Haake, Fritz
The master equation for a damped spin well known from the theory of superradiance, is written as a finite-difference equation and solved by a WKB-like method. The propagator thus obtained looks like...
Semiclassics for a Dissipative Quantum Map (1998)
Braun, Daniel, Braun, Petr A., Haake, Fritz
We present a semiclassical analysis for a dissipative quantum map with an area-nonpreserving classical limit. We show that in the limit of Planck's constant to 0 the trace of an arbitrary natural...
Semiclassical spin damping: Superradiance revisited (1998)
Braun, Petr A., Braun, Daniel, Haake, Fritz, Weber, Joachim
A well known description of superradiance from pointlike collections of many atoms involves the dissipative motion of a large spin. The pertinent ``superradiance master equation'' allows for a...
Semiclassical spectra from periodic-orbit clusters in a mixed phase space (1997)
Schomerus, Henning, Haake, Fritz
We determine semiclassical quasienergy spectra from periodic orbits for a system with a mixed phase space, the kicked top. Throughout the transition from integrability to well developed chaos the...
Secular determinants of random unitary matrices (1996)
Haake, Fritz, Kuś, Marek, Sommers, Hans--J{ü}rgen, Schomerus, Henning, Zyczkowski, Karol \.
We consider the characteristic polynomials of random unitary matrices $U$ drawn from various circular ensembles. In particular, the statistics of the coefficients of these polynomials are studied....
Secular determinants of random unitary matrices (1996)
Haake, Fritz, Kus, Marek, Sommers, Hans-Jurgen, Schomerus, Henning, Zyczkowski, Karol
We consider the characteristic polynomials of random unitary matrices U drawn from various circular ensembles. In particular, the statistics of the coefficients of these polynomials are studied. The...
Semiclassics of rotation and torsion (1996)
Braun, Petr A., Gerwinski, Peter, Haake, Fritz, Schomerus, Henning
We discuss semiclassical approximations of the spectrum of the periodically kicked top, both by diagonalizing the semiclassically approximated Floquet matrix F and by employing periodic-orbit theory....
Secular determinants of random unitary matrices (1996)
Haake, Fritz, Kus, Marek, Sommers, Hans-Jurgen, Schomerus, Henning, Zyczkowski, Karol
We consider the characteristic polynomials of random unitary matrices U drawn from various circular ensembles. In particular, the statistics of the coefficients of these polynomials are studied. The...
Semiclassics of rotation and torsion (1996)
Braun, Petr A., Gerwinski, Peter, Haake, Fritz, Schomerus, Henning
We discuss semiclassical approximations of the spectrum of the periodically kicked top, both by diagonalizing the semiclassically approximated Floquet matrix F and by employing periodic-orbit theory....
Secular determinants of random unitary matrices. (1996)
Haake, Fritz, Kus, Marek, Sommers, Hans-Jurgen, Schomerus, Henning, Zyczkowski, Karol
We consider the characteristic polynomials of random unitary matrices U drawn from various circular ensembles. In particular, the statistics of the coefficients of these polynomials are studied. The...
Semiclassics of rotation and torsion. (1996)
Braun, Petr A., Gerwinski, Peter, Haake, Fritz, Schomerus, Henning
We discuss semiclassical approximations of the spectrum of the periodically kicked top, both by diagonalizing the semiclassically approximated Floquet matrix F and by employing periodic-orbit theory....
Cat States and Single Runs for the Damped Harmonic Oscillator (1994)
Goetsch, Peter, Graham, Robert, Haake, Fritz
We discuss the fate of initial states of the cat type for the damped harmonic oscillator, mostly employing a linear version of the stochastic Schr\"odinger equation. We also comment on how such cat...
Statistical treatment of open systems by generalized master equation / (1973)
Aus: Springer Tracts in Modern Physics. Bd.66. 1973, S. 99-168.
Stuttgart, Univ., Diss., 1968.
Über die Notwendigkeit einer Ganzheitsbetrachtung in der sogenannten Zahnheilkunde : . (1950)
Frankfurt, Med. F., Diss. v. 5. Juni 1950 (Nicht f. d. Aust.).