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Propagation of local excitations through strongly correlated quantum chains |
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| Authors: | Jean Richert |
| Affiliation: | a Institut de Physique, Université de Strasbourg, 3, rue de l'Université, 67084 Strasbourg Cedex, France b Department of Physics, School of Arts and Sciences, Lebanese International University, Beirut, Lebanon c Department of Physics, Faculty of Sciences (V), Lebanese University, Nabatieh, Lebanon |
| Abstract: | The propagation of an external transverse magnetic signal acting locally on a 1d chain of spins generates a disturbance which runs through the system. This quantum effect can be interpreted as a classical travelling wave which contains a superposition of a large set of frequencies depending on the size of the chain. Its local amplitude fixes the size of the z-component of the spins at any location in the chain. The average and maximum value of the group velocity are determined and compared with the transmission velocity fixed by the Lieb-Robinson upper bound inequality. |
| Keywords: | Propagation of signals in strongly correlated spin systems Group velocities of spin amplitude variations induced by local excitations Lieb-Robinson velocity bound |
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