In an exactly solvable two-band model, phonons kill ground-state-exciton coherence but preserve a coherence between incoherent excitons, producing quantum beats in TR-ARPES that persist indefinitely.
(B23) The many-body reduced density matrix at all timet reads ˆρel(t) =Trph{|Ψ (t)⟩⟨Ψ (t)|} = ∞X ¯M=0 1 ¯M! X ¯q1...¯q ¯M ˆ⊮el ˆb¯q ¯M
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Long-Lived Coherence between Incoherent Excitons revealed by Time-Resolved ARPES: An Exact Solution
In an exactly solvable two-band model, phonons kill ground-state-exciton coherence but preserve a coherence between incoherent excitons, producing quantum beats in TR-ARPES that persist indefinitely.