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20212025
most citedStatistical properties of the localization measure of chaotic eigenstates and the spectral statistics in a mixed-type billiard

31 citations · 119 across the 9 of their papers we have counts for

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nlin.CD2024

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…

nlin.CD2023★ 4 cited

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…

nlin.CD2022★ 16 cited

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…

nlin.CD2021

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…

nlin.CD2021★ 24 cited

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…

nlin.CD2021★ 14 cited

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…

nlin.CD2021★ 12 cited

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…

nlin.CD2021★ 18 cited

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…