Classification of Interacting Topological Floquet Phases in One Dimension

dc.contributor.utaustinauthorPotter, Andrew C.en_US
dc.creatorPotter, Andrew C.en_US
dc.creatorMorimoto, Takahiroen_US
dc.creatorVishwanath, Ashvinen_US
dc.date.accessioned2017-07-18T20:10:32Z
dc.date.available2017-07-18T20:10:32Z
dc.date.issued2016-10en_US
dc.description.abstractPeriodic driving of a quantum system can enable new topological phases with no analog in static systems. In this paper, we systematically classify one-dimensional topological and symmetry-protected topological (SPT) phases in interacting fermionic and bosonic quantum systems subject to periodic driving, which we dub Floquet SPTs (FSPTs). For physical realizations of interacting FSPTs, many-body localization by disorder is a crucial ingredient, required to obtain a stable phase that does not catastrophically heat to infinite temperature. We demonstrate that 1D bosonic and fermionic FSPT phases are classified by the same criteria as equilibrium phases but with an enlarged symmetry group (G) over tilde, which now includes discrete time translation symmetry associated with the Floquet evolution. In particular, 1D bosonic FSPTs are classified by projective representations of the enlarged symmetry group H-2((G) over tilde; U(1)). We construct explicit lattice models for a variety of systems and then formalize the classification to demonstrate the completeness of this construction. We advocate that a prototypical Z(2) bosonic FSPT may be realized by very simple Hamiltonians of the type currently available in existing cold atoms and trapped ion experiments.en_US
dc.description.departmentPhysicsen_US
dc.description.sponsorshipGordon and Betty Moore Foundations EPiQS Initiative GBMF4307en_US
dc.description.sponsorshipSimons Investigator Granten_US
dc.description.sponsorshipNSF DMR 1411343en_US
dc.identifierdoi:10.15781/T2Z892W7S
dc.identifier.citationPotter, Andrew C., Takahiro Morimoto, and Ashvin Vishwanath. "Classification of Interacting Topological Floquet Phases in One Dimension." Physical Review X 6, no. 4 (2016): 041001.en_US
dc.identifier.doi10.1103/PhysRevX.6.041001en_US
dc.identifier.issn2160-3308en_US
dc.identifier.urihttp://hdl.handle.net/2152/61132
dc.language.isoEnglishen_US
dc.relation.ispartofUT Faculty/Researcher Worksen_US
dc.relation.ispartofserialPhysical Review Xen_US
dc.rightsAdministrative deposit of works to Texas ScholarWorks: This works author(s) is or was a University faculty member, student or staff member; this article is already available through open access or the publisher allows a PDF version of the article to be freely posted online. The library makes the deposit as a matter of fair use (for scholarly, educational, and research purposes), and to preserve the work and further secure public access to the works of the University.en_US
dc.rights.restrictionopenen_US
dc.subjectlocalizationen_US
dc.subjectstatesen_US
dc.titleClassification of Interacting Topological Floquet Phases in One Dimensionen_US
dc.typeArticleen_US

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