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PRODID:UW-Physics-TWaP
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UID:UW-Physics-Event-3352
DTSTART:20140512T213000Z
DTEND:20140512T223000Z
DTSTAMP:20200125T202712Z
LAST-MODIFIED:20140421T204745Z
LOCATION:Chamberlin 5310
SUMMARY:Quench dynamics of the anisotropic Heisenberg model through an exact approach\, Condensed Matter Theory Group Seminar\, Wenshuo Liu\, Rutgers University
DESCRIPTION:In this talk I will present the analytical approach we developed for the study of the quench dynamics of the anisotropic Heisenberg model (XXZ model) on the infinite line. Our approach gives the exact time-dependent wavefunctions after a quench in an integral form for any initial state and for any anisotropy ∆ by means of a generalized Yudson contour representation. We calculate the evolution of several observables from two particular initial states: starting from a local N`eel state we calculate the time evolution of the antiferromagnetic order parameter --staggered magnetization; starting from a state with consecutive flipped spins (1) we calculate the evolution of the local magnetization and express it in terms of the propagation of magnons and bound state excitations; (2) we predict the evolution of the induced spin currents. These predictions can be confronted with experiments in ultracold gases in optical lattices. We also show how the “string” solutions of Bethe Ansatz equations emerge naturally from the contour approach.
URL:https://wp.physics.wisc.edu/twap/?id=3352
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