Gapless hamiltonians for the toric code using the projected entangled pair state formalism

Physical Review Letters

Volumn 109, Issue 26, 2012, Pages

  Fernández González, Carlos ^a,b   Schuch, Norbert ^c,d   Wolf, Michael M ^e   Cirac, J Ignacio ^f   Pérez García, David ^b  

^a UNIVERSIDAD NACIONAL DE EDUCACIÓN A DISTANCIA   (Spain)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^c CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^d RWTH AACHEN UNIVERSITY   (Germany)

^e TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^f MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS SPECTRUM; PROJECTED ENTANGLED PAIR STATE; THERMODYNAMIC LIMITS; TWO-DIMENSIONAL SYSTEMS;

QUANTUM ENTANGLEMENT;

HAMILTONIANS;

EID: 84871810184     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.109.260401     Document Type: Article

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19. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.109.260401 for a detailed proof of the structure of the kernel of the uncle Hamiltonian for the toric code (Part A), and the proof that the spectrum of the uncle Hamiltonian for the toric code is [0, ∞) (Part B).