HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation

Entanglement and quench dynamics in quantum spin chains

Abstract : The study carried in this thesis concerns the dynamics of out-of-equilibrium quantum systems, and more particularly their entanglement properties. Indeed, entanglement became a fundamental concept in modern physics, especially with the development of quantum information. We have in a first part studied the dynamics of a model of bosons on a lattice after the quench of their trapping potential. In the hard-core limit, we developed an hydrodynamical theory which perfectly reproduced the observed behavior. Then, we have looked at the dynamics of two defect spins coupled to an Ising chain. When these defects have been prepared into a separable state, we have established a formula giving the evolution of the reduced density matrix, allowing us to have access to the entanglement create through the coupling to the chain. We considered then the case of two initially entangled defect spins, and we studied the influence of a non-equilibrium environment on the disentanglement properties. Finally, the last part of this thesis is devoted to the study of a system coupled to an environment by means of the repeated interactions process. We studied the relaxation of the system in two different time regimes. For short times, the state is well described by a non-equilibrium-steady-state, in which we highlighted the scaling properties of some observables. For long times, the system reaches an equilibrium steady state made of a product of Bell states
Complete list of metadata

Cited literature [139 references]  Display  Hide  Download

Contributor : Thèses Ul Connect in order to contact the contributor
Submitted on : Thursday, March 29, 2018 - 1:04:56 PM
Last modification on : Monday, December 13, 2021 - 1:52:04 PM


Files produced by the author(s)


  • HAL Id : tel-01751082, version 1


Pierre Wendenbaum. Entanglement and quench dynamics in quantum spin chains. Other [cond-mat.other]. Université de Lorraine, 2014. English. ⟨NNT : 2014LORR0170⟩. ⟨tel-01751082⟩



Record views


Files downloads