31 citations · 119 across the 9 of their papers we have counts for
10 papers
Quantum chaos and semiclassical behavior in mushroom billiards I: Spectral statistics
Matic Orel, Črt Lozej, Marko Robnik +1
We study the aspects of quantum chaos in mushroom billiards introduced by Bunimovich. This family of billiards classically has the property of mixed phase space with precisely one…
Intermediate spectral statistics of rational triangular quantum billiards
Črt Lozej, Eugene Bogomolny
Triangular billiards whose angles are rational multiples of are one of the simplest examples of pseudo-integrable models with intriguing classical and quantum properties. We pe…
Spectral form factors and dynamical localization
Črt Lozej
Quantum dynamical localization occurs when quantum interference stops the diffusion of wave packets in momentum space. The expectation is that dynamical localization will occur whe…
Phenomenology of quantum eigenstates in mixed-type systems: lemon billiards with complex phase space structure
Črt Lozej, Dragan Lukman, Marko Robnik
The boundary of the lemon billiards is defined by the intersection of two circles of equal unit radius with the distance 2B between their centers, as introduced by Heller and Tomso…
Quantum chaos in triangular billiards
Črt Lozej, Giulio Casati, Tomaž Prosen
We present an extensive numerical study of spectral statistics and eigenfunctions of quantized triangular billiards. We compute two million consecutive eigenvalues for six represen…
Statistical properties of the localization measure of chaotic eigenstates and the spectral statistics in a mixed-type billiard
Benjamin Batistić, Črt Lozej, Marko Robnik
We study the quantum localization in the chaotic eigenstates of a billiard with mixed-type phase space, after separating the regular and chaotic eigenstates, in the regime of sligh…
Effects of stickiness in the classical and quantum ergodic lemon billiard
Črt Lozej, Dragan Lukman, Marko Robnik
We study the classical and quantum ergodic lemon billiard introduced by Heller and Tomsovic in Phys. Today 46(7), 38 (1993), for the case , which is a classically ergodic sy…
Structure, size, and statistical properties of chaotic components in a mixed-type Hamiltonian system
Črt Lozej, Marko Robnik
We perform a detailed study of the chaotic component in mixed-type Hamiltonian systems on the example of a family of billiards [introduced by Robnik in J. Phys. A: Math. Gen. 16, 3…
Aspects of diffusion in the stadium billiard
Črt Lozej, Marko Robnik
We perform a detailed numerical study of diffusion in the stadium of Bunimovich, and propose an empirical model of the local and global diffusion for various values o…
Stickiness in generic low-dimensional Hamiltonian systems: A recurrence-time statistics approach
Črt Lozej
We analyze the structure and stickiness in the chaotic components of generic Hamiltonian systems with divided phase space. Following the method proposed recently in Lozej and Robni…