Collège Doctoral - Doktorandenkollegien

Statistical Physics of Complex Systems

Coventry - Leipzig - Lviv - Nancy

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Title Nonlinear quenches of power-law confining traps in quantum critical systems
Authors Collura M., Karevski D.
Reference Phys. Rev. A 83 (2011) 023603
DOI10.1103/PhysRevA.83.023603
Abstract We describe the coherent quantum evolution of a quantum many-body system with a time-dependent power-law confining potential. The amplitude of the inhomogeneous potential is driven in time along a non-linear ramp which crosses a critical point. Using Kibble-Zurek like scaling arguments we derive general scaling laws for the density of excitations and energy excess generated during the non-linear sweep of the confining potential. It is shown that, with respect to the sweeping rate, the densities follow algebraic laws with exponents that depend on the space-time properties of the potential and on the scaling dimensions of the densities. We suport our scaling predictions with both analytical and numerical results on the Ising quantum chain with an inhomogeneous transverse field varying in time.


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