Berlin 2015 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 26: Quantum Dynamics, Decoherence and Quantum Information (jointly with DY)

TT 26.11: Talk

Monday, March 16, 2015, 17:45–18:00, BH-N 334

Markovianity and Consistency in closed spin lattices — •Daniel Schmidtke and Jochen Gemmer — Fachbereich Physik, Universität Osnabrück, Osnabrück, Germany

Dynamics of closed quantum systems may be mapped onto stochastic processes in case they are in accordance with conditions regarding Markovianity and Consistency. These conditions can be derived from the path measures of the Consistent Histories approach by introducing a decoherence functional and conditional transfer-probabilities. Depending on the so called memory range one distinguishes one-step, two-step, ... etc. Markovianity. To demonstrate that these conditions are indeed fulfilled in some closed quantum systems an detailed numerical investigation of spin lattices has been done by directly quantifying the negligible Non-Markovianity and negligible Non-Consistency. Though Markovianity and Consistency show very similar dependencies on, e.g., the time steps between measurements or coupling strengths within the spin system, there are no analytical proofs regarding this correlation.