Engineering non-equilibrium quantum phase transitions via causally gapped Hamiltonians

doi:10.1088/1367-2630/aae3ed

Engineering non-equilibrium quantum phase transitions via causally gapped Hamiltonians

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Engineering non-equilibrium quantum phase transitions via causally gapped Hamiltonians

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dc.contributor.author	Mohseni, Masoud	pl
dc.contributor.author	Strumpfer, Johan	pl
dc.contributor.author	Rams, Marek [SAP13902682]	pl
dc.date.accessioned	2018-10-24T11:41:42Z
dc.date.available	2018-10-24T11:41:42Z
dc.date.issued	2018	pl
dc.identifier.uri	https://ruj.uj.edu.pl/xmlui/handle/item/58611
dc.language	eng	pl
dc.rights	Udzielam licencji. Uznanie autorstwa 3.0	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/legalcode	*
dc.title	Engineering non-equilibrium quantum phase transitions via causally gapped Hamiltonians	pl
dc.type	JournalArticle	pl
dc.abstract.en	We introduce a phenomenological theory for many-body control of critical phenomena by engineering causally-induced gaps for quantum Hamiltonian systems. The core mechanisms are controlling information flow within and/or between clusters that are created near a quantum critical point. To this end, we construct inhomogeneous quantum phase transitions via designing spatiotemporal quantum fluctuations. We show how non-equilibrium evolution of disordered quantum systems can create new effective correlation length scales and effective dynamical critical exponents. In particular, we construct a class of causally-induced non-adiabatic quantum annealing transitions for strongly disordered quantum Ising chains leading to exponential suppression of topological defects beyond standard Kibble–Zurek predictions. Using exact numerical techniques for 1D quantum Hamiltonian systems, we demonstrate that our approach exponentially outperforms adiabatic quantum computing. Using strong-disorder renormalization group (SDRG), we demonstrate the universality of inhomogeneous quantum critical dynamics and exhibit the reconstructions of causal zones during SDRG flow. We derive a scaling relation for minimal causal gaps showing they narrow more slowly than any polynomial with increasing size of system, in contrast to stretched exponential scaling in standard adiabatic evolution. Furthermore, we demonstrate similar scaling behavior for random cluster-Ising Hamiltonians with higher order interactions.	pl
dc.description.volume	20	pl
dc.description.number	10	pl
dc.identifier.doi	10.1088/1367-2630/aae3ed	pl
dc.identifier.eissn	1367-2630	pl
dc.title.journal	New Journal of Physics	pl
dc.language.container	eng	pl
dc.affiliation	Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego	pl
dc.subtype	Article	pl
dc.identifier.articleid	105002	pl
dc.rights.original	CC-BY; otwarte czasopismo; ostateczna wersja wydawcy; w momencie opublikowania; 0	pl
dc.identifier.project	ROD UJ / OP	pl
.pointsMNiSW	[2018 A]: 40