In: Proceedings of the National Academy of Sciences, 2012, vol. 109, no. 17, p. 6457-6462
Geometric phases in quantum mechanics play an extraordinary role in broadening our understanding of fundamental significance of geometry in nature. One of the best known examples is the Berry phase [M.V. Berry (1984), Proc. Royal. Soc. London A, 392:45], which naturally emerges in quantum adiabatic evolution. So far the applicability and measurements of the Berry phase were mostly limited to...
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In: Physical Review B, 2010, vol. 81, no. 1, p. 012303
We study the dynamical response of a system to a sudden change of the tuning parameter λ starting (or ending) at the quantum critical point. In particular, we analyze the scaling of the excitation probability, number of excited quasiparticles, heat and entropy with the quench amplitude, and the system size. We extend the analysis to quenches with arbitrary power law dependence on time of the...
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In: Physical Review A, 2008, vol. 78, no. 6, p. 063624
We propose a method for detecting paired states in either bosonic or fermionic systems using interference experiments with independent or weakly coupled low-dimensional systems. We demonstrate that our method can be used to detect both the Fulde, Ferrel, Larkin, Ovchinnikov, and the d-wave paired states of fermions, as well as quasicondensates of singlet pairs for polar F=1 atoms in...
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