Dresden 2009 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 19: Quantum dynamics, decoherence and quantum information
DY 19.4: Talk
Wednesday, March 25, 2009, 17:45–18:00, ZEU 118
Exact quantum quench dynamics of the fermionic pairing model — •Alexandre Faribault1, Pasquale Calabrese2, and Jean-Sébastien Caux3 — 1Physics Department, ASC and CeNS, Ludwig-Maximilians-Universität, Theresienstr. 37, 80333 München, Germany — 2Dipartimento di Fisica dell'Università di Pisa and INFN, 56127 Pisa, Italy — 3Institute for Theoretical Physics, Universiteit van Amsterdam, 1018 XE Amsterdam, The Netherlands
Understanding the non-equilibrium dynamics of extended quantum systems after the trigger of a sudden, global perturbation (quench) represents a daunting challenge, especially in the presence of interactions. The main difficulties stem from both the vanishing time scale of the quench event, which can create arbitrarily high energy modes, and its non-local nature, which precludes the utility of local excitation bases.
We here show that nonperturbative methods based on integrability can prove sufficiently powerful to completely characterize quantum quench problems: we illustrate this using a simple model of fermions with pairing interactions (Richardson's model).
The effects of quenches on the dynamics of important observables are discussed. Many of the features we find are expected to be universal to all kinds of quench situations in atomic physics and condensed matter.