title: Theory of soft quantum dynamics and singular optics
reg no: ETF6534
project type: Estonian Science Foundation research grant
status: accepted
institution: University of Tartu
head of project: Vladimir Hižnjakov
duration: 01.01.2005 - 31.12.2007
description: The aim of the project is to develop a theory of the systems characterized by soft or singular dynamics. The systems under consideration are crystals, glasses, nanoclusters or droplets with soft degrees of freedom. Such degrees of freedom are characteristic for soft vibration modes, tunnelling systems, weakly-bonded atoms at the surface of a condensed matter or a cluster etc. In all these systems the role of quantum fluctuations is strongly enhanced. We are planning to develop a theory which allows one to describe the effects of these fluctuations in vibronic, multiphonon and multiphoton transitions and quantum diffusion. The research program includes the development of the theory of electronic transitions in optical centers with strongly-reduced local springs in one of the states and with strong mixing of modes of phonon continuum on transition. To solve the problem mentioned we are planning to apply the operator transformation method. We also intend to develop a theory of diffusion of self-defects (vacancies, interstices) in crystals with taking into account the breaking and reconstitution of bonds at the process. One of the aims of the project is to develop a theory of the local instability of the crystal lattice due to an intrinsic localized mode of a large amplitude. We are also planning to investigate soft degrees of freedom in glasses with taking into account the fundamental distinction between the compression and expansion of the matter. The electronic transitions followed by the accelerated motion of a particle are also planned to be investigated.
The effects of the singular optics including the propagation and reflection of light beams with the non-zero angular momentum through and from interfaces are planned to be studied. We are also planning to develop a theory of singular dynamical Casimir effect - the enhanced two-quantum emission by an periodically time-dependent system (oscillating mirror, a dielectric with periodically time-dependent refractive index).

project group
no name institution position  
1.Vadim BoltruškoUniversity of TartuPh.D. student 
2.Vladimir FedossejevInstitute of Physics at University of Tartu 
3.Vladimir HižnjakovUniversity of TartuSenior research associate 
4.Helle KaasikInstitute of Physics at University of Tartupostdoc 
5.Olev SildInstitute of Physics at University of Tartusenior scientist 
6.Aleksander ŠelkanInstitute of Physics at University of Tartuscientist