Collision-model-based approach to non-Markovian quantum dynamics
arXiv:1207.6554 · doi:10.1103/PhysRevA.87.040103
Abstract
We present a theoretical framework to tackle quantum non-Markovian dynamics based on a microscopic collision model (CM), where the bath consists of a large collection of initially uncorrelated ancillas. Unlike standard memoryless CMs, we endow the bath with memory by introducing inter-ancillary collisions between next system-ancilla interactions. Our model interpolates between a fully Markovian dynamics and the continuous interaction of the system with a single ancilla, i.e., a strongly non-Markovian process. We show that in the continuos limit one can derive a general master equation, which while keeping such features is guaranteed to describe an unconditionally completely positive and trace-preserving dynamics. We apply our theory to an atom in a dissipative cavity for a Lorentzian spectral density of bath modes, a dynamics which can be exactly solved. The predicted evolution shows a significant improvement in approaching the exact solution with respect to two well-known memory-kernel master equations.
5+1 pages, 2 figures
References in corpus (22)
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Open Quantum Systems. An Introduction
- Measure for the Non-Markovianity of Quantum Processes
- Thermalizing Quantum Machines: Dissipation and Entanglement
- Non-Markovian quantum dynamics: local versus non-local
- Electron spin dynamics in quantum dots and related nanostructures due to hyperfine interaction with nuclei
- Foundations and Measures of Quantum Non-Markovianity
- Completely positive maps with memory
- Non-Markovian dynamics of a qubit
- Completely Positive Post-Markovian Master Equation via a Measurement Approach
- Exact master equations for the non-Markovian decay of a qubit
- Master equations for correlated quantum channels
- All (qubit) decoherences: Complete characterization and physical implementation
- Fourier's Law from Schroedinger Dynamics
- Simulation of indivisible qubit channels in collision models
- Stochastic Representation of a Class of Non-Markovian Completely Positive Evolutions
- Structure of completely positive quantum master equations with memory kernel
- Phenomenological memory-kernel master equations and time-dependent Markovian processes
- A quantum non-Markovian collision model: incoherent swap case
- Non Markovian Quantum Repeated Interactions and Measurements
- Master equation for cascade quantum channels: a collisional approach
- Critical assessment of two-qubit post-Markovian master equations
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