Report on 2304.10988v4
Résumé
Entanglement properties of driven quantum systems can potentially differ from the equilibrium situation due to long range coherences.We confirm this observation by studying a suitable toy model for mesoscopic transport : the open quantum symmetric simple exclusion process (QSSEP).We derive exact formulae for its mutual information between different subsystems and show that it satisfies a volume law.Surprisingly, the QSSEP entanglement properties only depend on data related to its transport properties and we suspect that such a relation might hold for more general mesoscopic systems.Exploiting the free probability structure of QSSEP, we obtain these results by developing a new method to determine the eigenvalue spectrum of sub-blocks of random matrices from their so-called local free cumulants -a mathematical result on its own with potential applications in the theory of random matrices.As an illustration of this method, we show how to compute expectation values of observables in systems satisfying the Eigenstate Thermalization Hypothesis (ETH) from the local free cumulants. Contents1 The emerging volume law for the mutual information between symmetric regions in this case has its origin in the entanglement between particles reflected and transmitted by the scattering region 2 Strong interactions in the presence of noise tend to decrease the coherence length.3 Mesoscopic systems are defined by the fact that the coherence length is greater than both the observation scale (to be able to observe quantum coherent effects) and the mean free path (in order to have diffusive transport)
Citer ce document
Accès au document
Texte intégral en lecture en ligne, réservé aux abonnés SPHAERO et aux membres de l'institution. Se connecter
Voir l'article sur le site de la revueAuteur(s)
Statistiques
Consultations : 1
Téléchargements : 0