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  • 2018Journal Article Research Paper
    [["dc.bibliographiccitation.issue","5"],["dc.bibliographiccitation.journal","SciPost physics"],["dc.bibliographiccitation.volume","5"],["dc.contributor.author","Abeling, Nils O."],["dc.contributor.author","Cevolani, Lorenzo"],["dc.contributor.author","Kehrein, Stefan"],["dc.date.accessioned","2020-12-10T18:42:59Z"],["dc.date.available","2020-12-10T18:42:59Z"],["dc.date.issued","2018"],["dc.description.abstract","In non-relativistic quantum theories the Lieb-Robinson bound defines an effective light cone with exponentially small tails outside of it. In this work we use it to derive a bound for the time evolution of the correlation function of two local disjoint observables if the initial state has a power-law decay. We show that the exponent of the power-law of the bound is identical to the initial (equilibrium) decay. We explicitly verify this result by studying the full dynamics of the susceptibilities and correlations in the exactly solvable Luttinger model after a sudden quench from the non-interacting to the interacting model."],["dc.identifier.doi","10.21468/SciPostPhys.5.5.052"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/78152"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-354"],["dc.relation","SFB 1073: Kontrolle von Energiewandlung auf atomaren Skalen"],["dc.relation","SFB 1073 | Topical Area B | B03 Relaxation, Thermalisierung, Transport und Kondensation in hochangeregten Festkörpern"],["dc.rights","CC BY 4.0"],["dc.title","Analysis of the buildup of spatiotemporal correlations and their bounds outside of the light cone"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.subtype","original_ja"],["dc.type.version","published_version"],["dspace.entity.type","Publication"]]
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  • 2016Journal Article
    [["dc.bibliographiccitation.artnumber","104302"],["dc.bibliographiccitation.issue","10"],["dc.bibliographiccitation.journal","Physical Review B"],["dc.bibliographiccitation.volume","93"],["dc.contributor.author","Abeling, Nils O."],["dc.contributor.author","Kehrein, Stefan"],["dc.date.accessioned","2020-12-10T18:20:24Z"],["dc.date.available","2020-12-10T18:20:24Z"],["dc.date.issued","2016"],["dc.description.abstract","The recently discovered dynamical phase transition denotes nonanalytic behavior in the real-time evolution of quantum systems in the thermodynamic limit, and it has been shown to occur in different systems at zero temperature [Heyl et al., Phys. Rev. Lett. 110, 135704 (2013)]. In this paper, we extend the analysis to nonzero temperature by studying a generalized form of the Loschmidt echo, the work distribution function, of a quantum quench in the transverse field Ising model. Although the quantitative behavior at nonzero temperatures still displays features derived from the zero-temperature nonanalyticities, it is shown that in this model dynamical phase transitions do not exist if T > 0. This is a consequence of the system being initialized in a thermal state. Moreover, we elucidate how the Tasaki-Crooks-Jarzynski relation can be exploited as a symmetry relation for a global quench or to obtain the change of the equilibrium free-energy density."],["dc.identifier.doi","10.1103/PhysRevB.93.104302"],["dc.identifier.eissn","2469-9969"],["dc.identifier.isi","000371960800003"],["dc.identifier.issn","2469-9950"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/75550"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-354"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Amer Physical Soc"],["dc.relation.issn","2469-9969"],["dc.relation.issn","2469-9950"],["dc.title","Quantum quench dynamics in the transverse field Ising model at nonzero temperatures"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]
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