Exact calculation of the average work done in a quenched quantum Ising model


Proceedings of the 33rd Samahang Pisika ng Pilipinas Physics Congress, University of Northern Philippines, Vigan City, 3–6 Jun 2015, SPP-2015-PB-48.


The main aim of this paper is to calculate the average work done in a ground state quench of the XY Heisenberg model in the transverse field quantum Ising limit. We obtain an exact closed form expression for the average work done in terms of complete elliptic integrals. This result reveals an inflection point at a pre-quench field that satisfies |h0|=1, which signals quantum criticality.