University of Connecticut

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PhD Dissertation Defense

Monday, May 1, 2017
1:00pm – 3:00pm

Storrs Campus
Physics Building, P121

Robert Dabrowski, Department of Physics, University of Connecticut

Adiabatic Expansion in Quantum Field Theory and Quantum Non-Equilibrium Dynamics

We consider the evolution of quantum field theoretical systems subject to a time-dependent perturbation and demonstrate a universal form to the adiabatic particle number, corresponding to optimal truncation of the (divergent and asymptotic) adiabatic expansion. In this optimal basis, the particle number evolves smoothly in time according to the universal smoothing of adiabatic evolution in the Stokes Phenomenon, thus providing a well-defined notion for evolution through a non-equilibrium process. The optimal basis also clearly illustrates interference effects associated with particle production for sequences of pulses in Schwinger and de Sitter particle production. We also demonstrate the basis dependence of the adiabatic particle number across several equivalent approaches, which revealed that particle production is a measure of small deviations between the exact and adiabatic solutions of the Ermakov-Milne equation for the associated time-dependent oscillators.


Prof. Gerald Dunne

Physics Department (primary), UConn Master Calendar

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