Journal-Club : Vincent Michal

Dynamics of a quantum phase transition: exact solution of the quantum Ising Model Jacek Dziarmaga, PRL 95, 245701 (2005)

Vincent Michal (Post doc LPTMS)

 

It will be based on the paper « Dynamics of a quantum phase transition: exact solution of the quantum Ising Model », by Jacek Dziarmaga, PRL 95, 245701 (2005).

Abstract of the paper:

The Quantum Ising model is an exactly solvable model of quantum phase transition. This Letter gives an exact solution when the system is driven through the critical point at a finite rate. The evolution goes through a series of Landau-Zener level anticrossings when pairs of quasiparticles with opposite pseudomomenta get excited with a probability depending on the transition rate. The average density of defects excited in this way scales like a square root of the transition rate. This scaling is the same as the scaling obtained when the standard Kibble-Zurek mechanism of thermodynamic second order phase transitions is applied to the quantum phase transition in the Ising model.


Date/Time : 14/10/2013 - 11:00 - 11:30

Location : LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay

Upcoming seminars