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You are here: Home / Seminars / Theoretical Physics / Chiral basis for qubits and decay of spin-helix states

Chiral basis for qubits and decay of spin-helix states

Frank Göhmann (Université de Wuppertal)
When Mar 07, 2024
from 02:00 to 03:00
Where Amphithéâtre PC
Attendees Frank Göhmann
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Jeudi 7 Mars

 

Title: Chiral basis for qubits and decay of spin-helix states

Frank Göhmann (Université de Wuppertal)

 

Abstract: 

In a recent cold-atom experiment by the Ketterle group at MIT one-dimensional spin-helix states could be prepared and their time evolution induced by the XXZ Hamiltonian could be observed. The experiment allows to adjust the anisotropy parameter of the latter. For the special case of vanishing anisotropy parameter, i.e. for the XX model, we describe the spatio-temporal decay of the spin helix explicitly. The helix pattern stays stable in space, but has a non-trivial time-dependent decay amplitude which is of scaling form and is governed by  a universal function that can berepresented as a semi-infinite determinant with a kernel related to the discrete Bessel kernel. This representation is valid for all times, is numerically utterly efficient and allows us to guess the long-time asymptotics of the function.