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Related Experiment Video

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Observing Mitotic Division and Dynamics in a Live Zebrafish Embryo

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Published on: July 15, 2016

Five approaches to exact open-system dynamics: Complete positivity, divisibility, and time-dependent observables.

V Reimer¹, M R Wegewijs¹, K Nestmann¹

¹Institute for Theory of Statistical Physics, RWTH Aachen, Aachen, Germany.

The Journal of Chemical Physics

|August 3, 2019

Summary

Quantum system dynamics can lose divisibility, leading to counterintuitive reentrant behavior where level occupation temporarily increases, reversing transport current. This phenomenon, particularly the loss of semigroup-divisibility, offers insights into open quantum systems.

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Area of Science:

Quantum mechanics
Open quantum systems
Quantum dynamics

Background:

Classical Markovianity is extended to open quantum systems via divisibility concepts.
Different theoretical frameworks exist to analyze quantum system dynamics.

Purpose of the Study:

Analyze divisibility of open quantum system dynamics using five complementary approaches.
Investigate the impact of divisibility on observable level occupation and transport currents.
Quantify the system's footprint on its environment via information measures.

Main Methods:

Equations of motion
Real-time diagrammatics
Kraus-operator sums
Time-local and nonlocal quantum master equations (Nakajima-Zwanzig)
Exactly solvable fermionic resonant level model

Main Results:

Loss of semigroup-divisibility causes reentrant behavior: temporary increase in level occupation, implying transport current reversal.
Loss of completely positive divisibility prohibits current reversals in specific time intervals.
Exact time-dependent environmental state and information measures (entropy, exchange entropy, coherent information) are determined.

Conclusions:

Divisibility is crucial for understanding non-Markovian quantum dynamics.
Reentrant behavior and current reversals are key signatures of lost divisibility.
The study provides a framework for experimental detection and environmental impact quantification.