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Open Quantum Systems Decoherence
Quantum Simulation
Second-quantized approach to the study of Halperin state in fractional quantum Hall effect
arXiv
Authors: Li Chen, Zhiping Yao
Year
2026
Paper ID
18132
Status
Preprint
Abstract Read
~2 min
Abstract Words
58
Citations
N/A
Abstract
We give a recursion relation for the second-quantized fermionic (bosonic) Halperin state, which avoids exact diagonalization of its two-component first-quantized parent Hamiltonian. We validate this formula by proving that the second-quantized Halperin state, as recursively defined in this formula, is indeed a zero mode of the corresponding second-quantized parent Hamiltonian and that it has the correct filling factor.
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- We give a recursion relation for the second-quantized fermionic (bosonic) Halperin state, which avoids exact diagonalization of its two-component first-quantized parent...
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