Regensburg 2016 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 64: Correlated Electrons: Nonequilibrium Quantum Many-Body Systems 1

TT 64.7: Vortrag

Donnerstag, 10. März 2016, 11:00–11:15, H22

Unruh effect in nonequilibrium quench dynamics — •Manuel Kreye and Stefan Kehrein — Institut für Theoretische Physik, Georg-August-Universität Göttingen, Germany

Recent experimental advances have opened up the field of nonequilibrium quench dynamics. Of particular importance is the question under what conditions quenched systems reach thermalization. For many-body systems with a quadratic Hamiltonian the time evolution is governed by a Bogoliubov transformation. Interestingly, such a transformation is also found in quantum field theory when coordinates are changed from Minkowski to Rindler space, where the latter is used by an accelerated observer. This transformation leads to the Unruh effect, i.e. the fact that the accelerated observer sees particles at a temperature proportional to acceleration.

We discuss the construction of a quadratic many-body Hamiltonian where the time evolution is governed by exactly the same Bogoliubov transformation that generates the Unruh effect. Our analysis shows that one can achieve thermalization only for half the modes by using a specific many-body Hamiltonian that describes parametric pair production. The time evolution turns out to be quite similar to the one from the Unruh effect.