Date:
Thu, 06/01/202215:00-16:00
Spin chains, defects, and quantum wires for the quantum-double edge
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Non-Abelian defects that bind Majorana or parafermion zero modes are prominent in several topological quantum computation schemes. Underpinning their established understanding is the quantum Ising spin chain, which can be recast as a fermionic model or viewed as a standalone effective theory for the surface-code edge -- both of which harbor non-Abelian defects. We generalize these notions by deriving an effective Ising-like spin chain describing the edge of quantum-double topological order. Relating Majorana and parafermion modes to anyonic strings, we introduce quantum-double generalizations of non-Abelian defects. We develop a way to embed finite-group valued qunits into those valued in continuous groups. Using this embedding, we provide a continuum description of the spin chain and recast its non-interacting part as a quantum wire via addition of a Wess-Zumino-Novikov-Witten term and non-Abelian bosonization.
Zohar Ringel is inviting you to a scheduled Zoom meeting.
Topic: Victor's CMP seminar
Time: Jan 6, 2022 03:00 PM Jerusalem
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Meeting ID: 838 6472 2955
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Meeting ID: 838 6472 2955
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Non-Abelian defects that bind Majorana or parafermion zero modes are prominent in several topological quantum computation schemes. Underpinning their established understanding is the quantum Ising spin chain, which can be recast as a fermionic model or viewed as a standalone effective theory for the surface-code edge -- both of which harbor non-Abelian defects. We generalize these notions by deriving an effective Ising-like spin chain describing the edge of quantum-double topological order. Relating Majorana and parafermion modes to anyonic strings, we introduce quantum-double generalizations of non-Abelian defects. We develop a way to embed finite-group valued qunits into those valued in continuous groups. Using this embedding, we provide a continuum description of the spin chain and recast its non-interacting part as a quantum wire via addition of a Wess-Zumino-Novikov-Witten term and non-Abelian bosonization.
Zohar Ringel is inviting you to a scheduled Zoom meeting.
Topic: Victor's CMP seminar
Time: Jan 6, 2022 03:00 PM Jerusalem
Join Zoom Meeting
https://huji.zoom.us/j/83864722955?pwd=VEZuajN3NHhRd2xxallnelR6SXhlQT09
Meeting ID: 838 6472 2955
Passcode: 736234
One tap mobile
+97223764510,,83864722955#,,,,*736234# Israel
+97239786688,,83864722955#,,,,*736234# Israel
Dial by your location
+972 2 376 4510 Israel
+972 3 978 6688 Israel
+972 2 376 4509 Israel
Meeting ID: 838 6472 2955
Passcode: 736234
Find your local number: https://huji.zoom.us/u/keblNS1SBS
Join by Skype for Business
https://huji.zoom.us/skype/83864722955
הצטרפות באמצעות Google Meet: https://meet.google.com/viv-xdre-auf
למידע נוסף על Meet, אפשר להיכנס לאתר: https://support.google.com/a/users/answer/9282720