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Quantum Algorithms
Dissipative Hofstadter Model at the Magic Points and Critical Boundary Sine-Gordon Model
arXiv
Authors: Seungmuk Ji, Ja-Yong Koo, Taejin Lee
Year
2007
Paper ID
50160
Status
Preprint
Abstract Read
~2 min
Abstract Words
76
Citations
N/A
Abstract
The dissipative Hofstadter model describes quantum particles moving in two dimensions subject to a uniform magnetic field, a periodic potential and a dissipative force. We discuss the dissipative Hofstadter model in the framework of the boundary state formulation in string theory and construct exact boundary states for the model at the magic points by using the fermion representation. The dissipative Hofstadter model at magic points is shown to be equivalent to the critical boundary sine-Gordon model.
Why This Paper Matters
- It adds a 2007 reference point for readers tracking recent quantum research.
- The dissipative Hofstadter model describes quantum particles moving in two dimensions subject to a uniform magnetic field, a periodic potential and a dissipative force.
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