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Unusual area-law violation in random inhomogeneous systems

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dc.contributor.authorAlba, Vincenzo
dc.contributor.authorSantalla, Silvia N.
dc.contributor.authorRuggiero, Paola
dc.contributor.authorCalabrese, Pasquale
dc.contributor.authorSierra, Germán
dc.contributor.authorRodríguez Laguna, Javier
dc.date.accessioned2024-05-20T11:28:01Z
dc.date.available2024-05-20T11:28:01Z
dc.date.issued2019-02-26
dc.description.abstractThe discovery of novel entanglement patterns in quantum manybody systems is a prominent research direction in contemporary physics. Here we provide the example of a spin chain with random and inhomogeneous couplings that in the ground state exhibits a very unusual area-law violation. In the clean limit, i.e. without disorder, the model is the rainbow chain and has volume law entanglement. We show that, in the presence of disorder, the entanglement entropy exhibits a power-law growth with the subsystem size, with an exponent 1/2. By employing the strong disorder renormalization group (SDRG) framework, we show that this exponent is related to the survival probability of certain random walks. The ground state of the model exhibits extended regions of short-range singlets (that we term ‘bubble’ regions) as well as rare long range singlet (‘rainbow’ regions). Crucially, while the probability of extended rainbow regions decays exponentially with their size, that of the bubble regions is power law. We provide strong numerical evidence for the correctness of SDRG results by exploiting the free-fermion solution of the model. Finally, we investigate the role of interactions by considering the random inhomogeneous XXZ spin chain. Within the SDRG framework and in the strong inhomogeneous limit, we show that the above area-law violation takes place only at the free-fermion point of phase diagram. This point divides two extended regions, which exhibit volume-law and area-law entanglement, respectively.en
dc.description.versionversión publicada
dc.identifier.doi10.1088/1742-5468/ab02df
dc.identifier.issn1742-5468
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12048
dc.journal.titleJournal of Statistical Mechanics: Theory and Experiment
dc.language.isoen
dc.publisherIOPScience
dc.relation.centerFacultad de Ciencias
dc.relation.departmentFísica Fundamental
dc.rightsinfo:eu-repo/semantics/embargoedAccess
dc.rights.uriinfo:eu-repo/semantics/embargoedAccess
dc.subject.keywordsdisordered spin chains
dc.subject.keywordsentanglement entropies
dc.subject.keywordsentanglement in extended quantum systems
dc.subject.keywordsspin chains
dc.subject.keywordsladders and planes
dc.titleUnusual area-law violation in random inhomogeneous systemses
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublicationf24eca7b-6fab-4a61-b10e-eb2f58e6342b
relation.isAuthorOfPublication.latestForDiscoveryf24eca7b-6fab-4a61-b10e-eb2f58e6342b
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