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VERSION:2.0
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SUMMARY:Long range toric code: finite temperature topological order in two
  dimensions
DTSTART:20251106T170000Z
DTEND:20251106T190000Z
DTSTAMP:20260624T204433Z
UID:73e5011c-5da2-4460-a171-4e994f95f525
SEQUENCE:1
CREATED:20251031T114646Z
DESCRIPTION: In traditional 2D topological order\, anyons quasiparticles a
 re deconfined: the energy required to separate two anyons arbitrarily far 
 apart is finite.As a result\, thermally excited anyons proliferate and des
 troy topological order at anyfinite temperature. We introduce an extension
  of the toric code with long-range\,power law interactions that maintains 
 topological order at nonzero temperatures. Theinteractions generate a conf
 ining potential between anyons\, stabilizing the topologicalphase against 
 thermal fluctuations. For several forms of long-range couplings\, weidenti
 fy a confining topological phase below a critical temperature\, where the 
 groundstate is topologically ordered but the excitations remain confined. 
LAST-MODIFIED:20251031T114646Z
LOCATION:DF Seminar Room (2-8.3)\, 2nd floor of Physics Building
URL:http://df.vps.tecnico.ulisboa.pt/en/events/long-range-toric-code-finit
 e-temperature-topological-order-in-two-dimensions/
X-ALT-DESC;FMTTYPE=text/html:<p data-block-key="kdm7q"> In traditional 2D 
 topological order\, anyons quasiparticles are deconfined: the energy requi
 red to separate two anyons arbitrarily far apart is finite.As a result\, t
 hermally excited anyons proliferate and destroy topological order at anyfi
 nite temperature. <br/><br/>We introduce an extension of the toric code wi
 th long-range\,power law interactions that maintains topological order at 
 nonzero temperatures. Theinteractions generate a confining potential betwe
 en anyons\, stabilizing the topologicalphase against thermal fluctuations.
  For several forms of long-range couplings\, weidentify a confining topolo
 gical phase below a critical temperature\, where the groundstate is topolo
 gically ordered but the excitations remain confined. </p>
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