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SUMMARY:Long range toric code: finite temperature topological order in two
  dimensions
DTSTART:20260206T170000Z
DTEND:20260206T180000Z
DTSTAMP:20260618T062214Z
UID:24f65f16-4e37-45fa-b7cb-8200ddc83990
SEQUENCE:1
CREATED:20260206T004840Z
DESCRIPTION:In traditional 2D topological order\, anyons quasiparticles ar
 e deconfined: the energy required to separate two anyons arbitrarily far a
 part is finite. As a result\, thermally excited anyons proliferate and des
 troy topological order at any finite temperature. We introduce an extensio
 n of the toric code with long-range\, power law interactions that maintain
 s topological order at nonzero temperatures. The interactions generate a c
 onfining potential between anyons\, stabilizing the topological phase agai
 nst thermal fluctuations. For several forms of long-range couplings\, we i
 dentify a confining topological phase below a critical temperature\, where
  the ground state is topologically ordered but the excitations remain conf
 ined.
LAST-MODIFIED:20260206T004840Z
LOCATION:Seminar Room Physics Building - 2nd floor
URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/long-range-toric-code-fini
 te-temperature-topological-order-in-two-dimensions-2/
X-ALT-DESC;FMTTYPE=text/html:<p data-block-key="7gljs">In traditional 2D t
 opological order\, anyons quasiparticles are deconfined: the energy requir
 ed to separate two anyons arbitrarily far apart is finite. As a result\, t
 hermally excited anyons proliferate and destroy topological order at any f
 inite temperature. We introduce an extension of the toric code with long-r
 ange\, power law interactions that maintains topological order at nonzero 
 temperatures. The interactions generate a confining potential between anyo
 ns\, stabilizing the topological phase against thermal fluctuations. For s
 everal forms of long-range couplings\, we identify a confining topological
  phase below a critical temperature\, where the ground state is topologica
 lly ordered but the excitations remain confined.</p>
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