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X-ORIGINAL-URL:https://iqus.uw.edu/
X-WR-CALNAME:IQuS
X-WR-CALDESC:InQubator for Quantum Simulation
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BEGIN:VEVENT
CLASS:PUBLIC
UID:MEC-06fe1c234519f6812fc4c1baae25d6af@iqus.uw.edu
DTSTART:20241211T183000Z
DTEND:20241211T193000Z
DTSTAMP:20240716T180300Z
CREATED:20240716
LAST-MODIFIED:20241205
PRIORITY:5
SEQUENCE:6
TRANSP:OPAQUE
SUMMARY:Hamiltonian Lattice Formulation of Compact Maxwell-Chern-Simons Theory
DESCRIPTION:\nLena Funcke, University of Bonn\nChern-Simons theory is a topological quantum field theory with numerous applications in condensed matter and high-energy physics, including the study of anomalies, fermion/boson dualities, and the fractional quantum Hall effect. The lattice formulation of pure Chern-Simons theory faces a doubling problem, which can be resolved by incorporating a Maxwell term, resulting in Maxwell-Chern-Simons theory. While the Lagrangian formulation for Euclidean spacetime lattices has been recently derived, a Hamiltonian formulation remains absent.\nIn this work, we address this gap by deriving a Hamiltonian lattice formulation of compact Maxwell-Chern-Simons theory using the Villain approximation. We analytically solve this theory and show that the mass gap in the continuum limit matches the well-known continuum formula. The inclusion of fermions necessitates numerical methods, but standard Monte Carlo simulations cannot simulate the theory due to the sign problem. Our Hamiltonian formulation of Maxwell-Chern-Simons theory lays the groundwork for future Hamiltonian-based simulations of the theory on classical and quantum computers.\n
URL:https://iqus.uw.edu/events/lena-funcke-university-of-bonn/
ORGANIZER;CN=Xiaojun Yao:MAILTO:xjyao@uw.edu
CATEGORIES:Seminars
LOCATION:UW, 15th and Pacific, Seattle
ATTACH;FMTTYPE=image/jpeg:https://iqus.uw.edu/wp-content/uploads/2024/07/LenaFuncke.jpeg
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