Large deviation theory of Dario Cilluffo Salvatore Lorenzo quantum - PowerPoint PPT Presentation

XXIV Convegno Nazionale di Fisica Statistica e dei Sistemi Complessi Large deviation theory of Dario Cilluffo Salvatore Lorenzo quantum jump statistics in a Francesco Ciccarello Massimo Palma chiral waveguide DIPARTIMENTO DI FISICA E CHIMICA -EMILIO SEGRE’ UNIVERSITA’ DI PALERMO

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collision models of open quantum systems dynamics • the environment consists of a very large η η η η number of identical subsistems, dubbed “ancillas”, initially all in the same state U U U U • the system environment interaction % 0 % n % n − 1 takes place via a sequence of “collisions” between the system and the ancillas i.e. via pairwise short unitary interactions lasting a short time • equivalent to standard Born-Markov + ( V τ ) 2 U = e − iV τ / ~ ' I � � iV τ approximation 2 ~ 2 ~ • the collision time plays the role of the τ coherence time for the environment ρ = � i [ ˆ H, ρ ] + D (ˆ ˙ L ) ρ , η = | e 0 ih e 0 | L † � 1 L † ˆ L † ˆ D (ˆ L ) ρ = ˆ L ρ ˆ 2 (ˆ L ρ + ρ ˆ L ) , p L k = h e k | ˆ ˆ V | e 0 i τ / ~ master equation in Lindbad form jump operator