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Dynamics after a sweep through a quantum critical point

Pollmann, F; Mukerjee, S; Green, AG; Moore, JE; (2010) Dynamics after a sweep through a quantum critical point. Physical Review E , 81 (2) , Article 020101. 10.1103/PhysRevE.81.020101. Green open access

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Abstract

The coherent quantum evolution of a one-dimensional many-particle system after slowly sweeping the Hamiltonian through a critical point is studied using a generalized quantum Ising model containing both integrable and nonintegrable regimes. It is known from previous work that universal power laws of the sweep rate appear in such quantities as the mean number of excitations created by the sweep. Several other phenomena are found that are not reflected by such averages: there are two different scaling behaviors of the entanglement entropy and a relaxation that is power law in time rather than exponential. The final state of evolution after the quench is not characterized by any effective temperature, and the Loschmidt echo converges algebraically for long times, with cusplike singularities in the integrable case that are dynamically broadened by nonintegrable perturbations.

Type: Article
Title: Dynamics after a sweep through a quantum critical point
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevE.81.020101
Publisher version: http://dx.doi.org/10.1103/PhysRevE.81.020101
Language: English
Additional information: © APS 2010
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > London Centre for Nanotechnology
URI: https://discovery.ucl.ac.uk/id/eprint/1333466
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