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Topological order and reflection positivity

Arthur Jaffe, Fabio L. Pedrocchi
2014 Europhysics letters  

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2013 pre-print arXiv:1310.5370v1 fatcat:yyipr43j4bbohay43seuwi7vm4

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2013 accepted
arXiv:1310.5370v2 fatcat:erxjvts2vnbytcyklcdqspfpwi
The interplay between the two fundamental concepts of topological order and reflection positivity allows one to characterize the ground states of certain many-body Hamiltonians. We define topological order in an appropriate fashion and show that certain operators have positive expectation value in all ground states. We apply our method to vortex loops in a model relevant to topological quantum memories.
doi:10.1209/0295-5075/105/40002 fatcat:qcsr5mxj5resxdhtfly565mcdm
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Arthur Jaffe, Fabio L. Pedrocchi. "Topological order and reflection positivity." Europhysics letters 105.4 (2014) 40002