Selected Publications

- Slippage and Boundary Layer Probed in an Almost Ideal Gas by a Nanomechanical Oscillator

M. Defoort et al., Phys. Rev. Lett.**113**, 136101 (2014) - Evidence for the role of normal-state electrons in nanoelectromechanical damping mechanisms at very low temperatures

K.J. Lulla et al., Phys. Rev. Lett.**110**, 177206 (2013) - Phase Diagram of the Topological Superfluid
^{3}He Confined in a Nanoscale Slab Geometry

L.V. Levitin et al., Science**340**, 841-844 (2013) - Energy and angular momentum balance in wall-bounded quantum turbulence at very low temperatures

J.J. Hosio et al., Nature Commun.**4**, 1614 (2013) - Evidence for Helical Nuclear Spin Order in GaAs Quantum Wires

C.P. Scheller et al., Phys. Rev. Lett.**112**, 066801 (2013) - Observation of a roton collective mode in a two-dimensional Fermi liquid

H. Godfrin et al., Nature**483**, 576 (2012) - The Josephson heat interferometer

F. Giazotto, M.J. Martinez-Perez, Nature**492**, 401 (2012)

## Multifractality of random eigenfunctions and generalization of Jarzynski equality

*I. Khaymovich, J. Koski, O.-P. Saira, V.E. Kravtsov, J. Pekola*

Systems driven out of equilibrium experience large fluctuations of the dissipated work. The same is true for wavefunction amplitudes in disordered systems close to the Anderson localization transition. In both cases, the probability distribution function is given by the large-deviation ansatz. Here we exploit the analogy between the statistics of work dissipated in a driven single-electron box and that of random multifractal wavefunction amplitudes, and uncover new relations that generalize the Jarzynski equality. We checked the new relations theoretically using the rate equations for sequential tunnelling of electrons and experimentally by measuring the dissipated work in a driven single-electron box and found a remarkable correspondence. The results represent an important universal feature of the work statistics in systems out of equilibrium and help to understand the nature of the symmetry of multifractal exponents in the theory of Anderson localization.

*nature communications 6 April, 1-6*

doi:

*10.1038/ncomms8010*