Title: Dynamics of quantum gases in optical lattices / Circuit 
optomechanics

Abstract:

In the recent past the unitary dynamics of closed quantum systems has
been  objective  of intensive  research.  This  renovated interest  in
unitary  dynamics can  be regarded  as  a natural  consequence of  the
exceptional  success  in the  manipulation  and  control of  ultracold
atomic gases in optical lattices.

In  the first  part  of my  seminar I  will  give an  overview of  our
investigations about  the dynamics of fermionic  quantum gases in
optical lattices, arising from the time dependence of specific control
parameters [1-3]. These results, on the one hand, open up the prospect
of  establishing new probing  techniques for  exotic phases  of matter
-such as the FFLO phase-, and on the other, allow the investigation of
general  questions  concerning  integrability  and  thermalisation  in
quantum systems.

In the second part of my  seminar, if time allows, I will describe our
recent results in the field of optomechanics , concerning the 
quantum-limited
amplification of a  microwave signal by mechanical means  [4], and the
tripartite mixing of photonic and phononic modes in these systems [5].


[1]     F. Massel, M. J. Leskinen, and P. T?rm?,   
        Phys. Rev. Lett. 103, 066404 (2009).

[2]     A. Korolyuk, F. Massel, and P. T?rm?,   
        Phys. Rev. Lett. 104, 236402 (2010).

[3]     J. Kajala, F. Massel, and P. T?rm?,     
        Phys. Rev. Lett. 106, 206401 (2011).

[4]     F. Massel, T. T. Heikkil?, J. M. Pirkkalainen, S. U. Cho, 
        H. Saloniemi, P. J. Hakonen, and M. A. Sillanp??, 
        Nature 480, 351 (2011).

[5]    F. Massel, S. U. Cho, J.-M. Pirkkalainen, P. J. Hakonen,
        T. T. Heikkila, and M. A. Sillanp??, 
        Nat Commun 3, 987 (2012).