Spin-Boson Mappings in the Formalism of f-Deformations

arXiv:2609.22502 · quant-ph, cond-mat.other, math-ph, math.MP · Submitted 2026-09-18 · Read on arXiv

quant-ph, cond-mat.other, math-ph, math.MP

Submitted: 2026-09-18

Updated: 2026-09-22

Terminology

• Generalization — 5× in this paper · explained in 13 episodes
• Hubbard Model — 3× in this paper · explained in 3 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Spin Squeezing — 2× in this paper · explained in 2 episodes
• Antiferromagnetism — 1× in this paper · explained in 1 episode
• Chebyshev Polynomials — 1× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Quantization — 1× in this paper · explained in 12 episodes
• Superradiance — 1× in this paper · explained in 3 episodes

Sources

• Generalized Holstein-Primakoff mapping and $1/N$ expansion of collective spin systems undergoing single particle dissipation
• Holstein Primakoff spin codes for local and collective noise
• Analog Circuit-QED Simulator of Quantum Spin Dynamics Through the Extended Bose-Hubbard Model
• From Discrete to Continuous-Variable Systems via Jordan-Schwinger Tomographic Transformation
• From bosons and fermions to spins: A multi-mode extension of the Jordan-Schwinger map
• Finite-dimensional Lie algebras in bosonic quantum dynamics: The single-mode case

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