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TT: Fachverband Tiefe Temperaturen

TT 44: Poster Session Correlated Electrons

TT 44.66: Poster

Donnerstag, 17. März 2011, 10:00–13:00, P1

Quantum relaxation in the XY chain with free boundaries — •Benjamin Blaß and Heiko Rieger — Theoretische Physik, Universität des Saarlandes, PF 151150, D-66041 Saarbrücken

We study the quantum relaxation in the spin-1/2 XY chain with free boundaries in a longitudinal field. The system is described by Ĥ=−J/2∑i=1L−1[1+γ/2σ̂ixσ̂i+1x+1−γ/2σ̂iyσ̂i+1y]−h/2∑i=1Lσ̂iz. By preparing the system in an eigenstate (e.g., the ground state) of the Hamiltonian for given parameters γ0, J0 and h0 and then suddenly changing (i.e., quenching) the parameters to γ, J and h, the system evolves dynamically according to the Schrödinger equation into a stationary (i.e., time translational invariant) state, which is characterized by a length and time scale depending on the quench parameters. Due to the free boundaries, the local order parameter has a time and space dependent profile, which is computed. The issues of thermalization (or the lack thereof) as well as recurrence within a finite system are discussed.

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DPG-Physik > DPG-Verhandlungen > 2011 > Dresden