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Interplay of different environments in open quantum systems: Breakdown of the additive approximation
Giulio G Giusteri1,2,3, Filippo Recrosi4, Gernot Schaller5
1Mathematical Soft Matter Unit, Okinawa Institute of Science and Technology Graduate University, 1919-1 Tancha, Onna, 904-0495, Okinawa, Japan.
Physical Review. E
|January 20, 2018
Summary
We studied open quantum systems interacting with two environments: dephasing and probability-absorbing baths. Additive effects on the quantum master equation are valid when dephasing is weak relative to the absorbing bath bandwidth.
Area of Science:
- Quantum physics
- Quantum information science
- Condensed matter physics
Background:
- Open quantum systems are crucial for quantum technologies.
- Interactions with multiple environments complicate system dynamics.
- Quantum networks often involve decay channels and dephasing.
Purpose of the Study:
- To investigate the combined effects of dephasing and probability-absorbing baths on an open quantum system.
- To determine conditions under which bath effects additively influence the quantum master equation.
- To analyze the validity of additive decomposition in quantum master equations.
Main Methods:
- Modeling dephasing via random site energy fluctuations.
- Representing the absorbing bath with an attached external lead.
- Analyzing the quantum master equation for additive bath influences.
- Comparing additive decomposition with effective non-Hermitian Hamiltonians and Haken-Strobl dephasing.
Main Results:
- The additive decomposition of bath effects is a good approximation under specific conditions.
- Additivity holds when dephasing strength is significantly smaller than the absorbing bath's bandwidth.
- The reduced master equation can be described by an effective non-Hermitian Hamiltonian and a dephasing super-operator.
Conclusions:
- Additive bath effects simplify the analysis of open quantum systems.
- The findings provide criteria for approximating complex multi-bath interactions.
- This work is relevant for designing and understanding quantum networks and quantum devices.
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