The Laboratory of Theory of Nonlinear Processes was separated from the Laboratory of Theoretical Physics in 1973. The first head of the Laboratory was Candidate (since 1974 Doctor) of Phys. and Math. Sciences Georgy Zaslavsky. At present it is led by Doctor of Phys. and Math. Sciences Almas Sadreev .

The Laboratory scientists carry out research on the following directions:

• electron, microwave and sound transport via the chaotic billiards; wave chaos in transport;
• spin-polarized transport of electrons via quantum dots with the account for spin-orbital Rashba interaction;
• dynamic oscillations (in particular, Bloch oscillations) and spectral properties of cold atoms in optic lattices;
• bound states in continuum in the open quantum dots with variable sizes and in the Aharonov- Bohm rings;
• processes of thermo- absorption and desorption of organic molecules on metal crystal surfaces

The Hall effect induced by the spin-orbital Rashba interaction in semiconductive heterostructures with the broken inversion centre has been found [1]. The universal distributions of currents and nodal points in transport via chaotic billiards have been obtained [2]. The results have been experimentally verified on the basis of microwave transport by the Stokmann research team (Marburg, Germany). The vorteces induction by magnetic trap in the spinor Bose- Einsteinian condensate has been theoretically predicted and experimentally confirmed [3].

The exact solution of the Wannier –Stark problem (eigenvalues of a quantum particle in a periodic potential plus constant electric field) has been obtained [4]. The bound states in continuum in quantum transport via billiards with a variable parameter have been determined [5]. The Arrhenius formula describing thermo-activated desorption of atoms from a crystal surface due to crystal phonons has been modified [6].

The main scientific results obtained by the Laboratory researchers have been reported in the papers listed below:

1. Bulgakov E.N. et al. Phys. Rev. Lett. 83, 376(199); Bulgakov E.N., Sadreev A.F., Phys. Rev. B 66, 75331 (2002).
2. Saichev A.I., Ishio H., Sadreev A.F., Berggeren K.-F., J. Phys.A: Math. And General, 35, L87-L93 (2202); Sadreev A.F., Berggeren K.-F., Phys. Rev. E 70, 26201 (2004); Berggeren K.-F., Sadreev A.F., Starikov A. Phys. Rev. E 66, 16218 (2002); Sadreev A.F., Berggeren K.-F., J. Phys. A: Math.Gen. 38, 10787 (2005) (review).
3. Bulgakov E.N., Sadreev A.F. Phys. Rev. Lett., 90, 200401 (2003).
4. Gluck M., Kolovsky A.R., Korsch H.J. Phys. Rep. 366 103 (2002); Kolovsky A.R. Phys. Rev. Lett. 90 213002 (2003).
5. Sadreev A.F., Bulgakov E.N., Rotter I., Письма в ЖЭТФ 82 556 (2005); J. Phys. A: Math. Gen. 38, 10647 (2005).
6. Sadreev A.F., Sukhinin Yu.V., Uvdal K., Pohl A., J.Chem.Phys. 115, 9513 (2001).