BEGIN:VCALENDAR VERSION:2.0 PRODID:-//linuxsoftware.nz//NONSGML Joyous v1.4//EN BEGIN:VEVENT SUMMARY:Long range toric code: finite temperature topological order in two dimensions DTSTART:20251106T170000Z DTEND:20251106T190000Z DTSTAMP:20260617T025400Z UID:73e5011c-5da2-4460-a171-4e994f95f525 SEQUENCE:2 CREATED:20251031T114654Z 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 dest roy topological order at anyfinite temperature. We introduce an extension of the toric code with long-range\,power law interactions that maintains t opological order at nonzero temperatures. Theinteractions generate a confi ning potential between anyons\, stabilizing the topologicalphase against t hermal fluctuations. For several forms of long-range couplings\, weidentif y a confining topological phase below a critical temperature\, where the g roundstate is topologically ordered but the excitations remain confined. LAST-MODIFIED:20251031T114706Z LOCATION:DF Seminar Room (2-8.3)\, 2nd floor of Physics Building URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/long-range-toric-code-fini te-temperature-topological-order-in-two-dimensions/ X-ALT-DESC;FMTTYPE=text/html:

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\, th ermally excited anyons proliferate and destroy topological order at anyfin ite temperature.

We introduce an extension of the toric code wit h long-range\,power law interactions that maintains topological order at n onzero temperatures. Theinteractions generate a confining potential betwee n anyons\, stabilizing the topologicalphase against thermal fluctuations. For several forms of long-range couplings\, weidentify a confining topolog ical phase below a critical temperature\, where the groundstate is topolog ically ordered but the excitations remain confined.

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