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A new class of completely integrable quantum spin chains
Tomaz Prosen
A large (infinitely-dimensional) class of completely integrable (possibly non-autonomous) spin chains is discovered associated to an infinite-dimensional Lie Algebra of infinite ra…
Energy level statistics in the transition regime between integrability and chaos for systems with broken antiunitary symmetry
Marko Robnik, Jure Dobnikar, Tomaz Prosen
Energy spectra of a particle with mass and charge in the cubic Aharonov-Bohm billiard containing around consecutive levels starting from the ground state have been a…
Time evolution of a quantum many-body system: transition from integrability to ergodicity in thermodynamic limit
Tomaz Prosen
Numerical evidence is given for non-ergodic (non-mixing) behavior, exhibiting ideal transport, of a simple non-integrable many-body quantum system in the thermodynamic limit, namel…
New Universal Aspects of Diffusion in Strongly Chaotic Systems
Marko Robnik, Jure Dobnikar, Andrea Rapisarda +2
We study some new universal aspects of diffusion in chaotic systems, especially such having very large Lyapunov coefficients on the chaotic (indecomposable, topologically transitiv…
Comment on Energy Level Statistics in the Mixed Regime
Marko Robnik, Tomaz Prosen
We comment on the recent paper by Abul-Magd (J.Phys.A: Math.Gen. 29 (1996) 1) concerning the energy level statistics in the mixed regime, i.e. such having the mixed classical dynam…
Non ergodic quantum behaviour in classically chaotic 3D billiards
Giulio Casati, Tomaz Prosen
We study, analytically and numerically, the classical and quantum properties of a nearly spherical 3D billiard. In particular we show the appearence of quantum non ergodic behaviou…