A transitions-first framework for light-matter dynamics yields a photon-number-independent Rabi frequency and persistent polaritonic hybridization in the dispersive Jaynes-Cummings model, unifying resonant and dispersive regimes.
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Discrete-time quantum walks are constructed on Fock-state lattices via Lie algebra displacement operators, producing ballistic spreading, coin-walker entanglement, and anomalous effects such as super-ballistic spreading or localization.
Fock-state lattices are built from Lie-algebra generators, linking their structure and dynamics to phase-space geometry and revealing when integrable Hamiltonians lack such an algebraic origin.
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Transitions as the Native Objects of Dispersive Light-Matter Dynamics
A transitions-first framework for light-matter dynamics yields a photon-number-independent Rabi frequency and persistent polaritonic hybridization in the dispersive Jaynes-Cummings model, unifying resonant and dispersive regimes.
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Discrete-time quantum walks in synthetic dimensions
Discrete-time quantum walks are constructed on Fock-state lattices via Lie algebra displacement operators, producing ballistic spreading, coin-walker entanglement, and anomalous effects such as super-ballistic spreading or localization.
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Algebraic structure of Fock-state lattices
Fock-state lattices are built from Lie-algebra generators, linking their structure and dynamics to phase-space geometry and revealing when integrable Hamiltonians lack such an algebraic origin.