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quant-ph2024
Type-II pumping beyond resonance principle: From energetic to geometric rules
B. Q. Song, J. D. H. Smith, Y. X. Yao +1
Conventionally, pumping relies on energetic resonance: energy quanta matches the gap . Under linear approximation, this is known as the Fermi golden rule (FGR). Howev…
quant-ph2024
Quantum geometry embedded in unitarity of evolution: revealing its impacts as geometric oscillation and dephasing in spin resonance and crystal bands
B. Q. Song, J. D. H. Smith, T. Jiang +2
Quantum Hall effects provide intuitive ways of revealing the topology in crystals, i.e., each quantized "step" represents a distinct topological state. Here, we seek a counterpart…
quant-ph2023
Quantum Liouville's theorem based on Haar measure
B. Q. Song, J. D. H. Smith, L. Luo +1
Liouville theorem (LT) reveals robust incompressibility of distribution function in phase space, given arbitrary potentials. However, its quantum generalization, Wigner flow, is co…