Dresden 2011 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 9: CE: (General) Theory 1

TT 9.7: Talk

Monday, March 14, 2011, 15:45–16:00, HSZ 201

(contribution withdrawn) Loschmidt echo and work distribution in isolated many-body systems after a global quench — •Marcus Kollar¹, Malte Lehmann², and Eric Lutz² — ¹Theoretical Physics III, University of Augsburg, 86135 Augsburg — ²Department of Physics, University of Augsburg, 86135 Augsburg

For a sudden quench of the Hamiltonian of an isolated quantum system there is a relation between (i) the distribution of the performed work and (ii) the Loschmidt echo, which is a measure of the overlap of the initial and the time-evolved state, but which is notoriously difficult to measure. We derive an uncertainty relation for the widths of these two functions and argue that for global quenches in many-body systems both functions are typically Gaussians, thus fulfilling their uncertainty relation as an equality. This suggests that it may be possible to measure the Loschmidt echo via the experimentally more easily accessible work distribution.