Quantifying non-Markovianity due to driving and a finite-size environment in an open quantum system
arXiv:1612.02292 · doi:10.1103/PhysRevA.95.022120
Abstract
We study non-Markovian effects present in a driven qubit coupled to a finite environment using a recently proposed model developed in the context of calorimetric measurements of open quantum systems. To quantify the degree of non-Markovianity we use the Breuer-Laine-Piilo (BLP) measure [Breuer \textit{et al.}, Phys. Rev. Lett. \textbf{103}, 210401 (2009)]. We show that information backflow only occurs in the case of driving in which case we investigate the dependence of memory effects on the environment size, driving amplitude and coupling to the environment. We show that the degree of non-Markovianity strongly depends on the ratio between the driving amplitude and the coupling strength. We also show that the degree of non-Markovianity does not decrease monotonically as a function of the environment size.
arXiv comment7 pages, 5 figures, 1 appendix, minor corrections
References in corpus (31)
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Non-Markovian dynamics in open quantum systems
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Entanglement and non-Markovianity of quantum evolutions
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Quantum Fisher Information Flow in Non-Markovian Processes of Open Systems
- Measure for the Non-Markovianity of Quantum Processes
- Non-Markovian quantum jumps
- Geometrical characterization of non-Markovianity
- Sudden death and sudden birth of entanglement in common structured reservoirs
- Nonequilibrium thermodynamics in the strong coupling and non-Markovian regime based on a reaction coordinate mapping
- Non-Markovian generalization of the Lindblad theory of open quantum systems
- Optimal state pairs for non-Markovian quantum dynamics
- Comparative study of non-Markovianity measures in exactly solvable one and two qubit models
- Non-Markovian quantum dynamics: Correlated projection superoperators and Hilbert space averaging
- Quantifying non-Markovianity of continuous variable Gaussian dynamical maps
- Quantum Heat Current under Non-perturbative and Non-Markovian Conditions: Applications to Heat Machines
- Memory-keeping effects and forgetfulness in the dynamics of a qubit coupled to a spin chain
- Thermodynamic meaning and power of non-Markovianity
- Non-Markovian behavior of small and large complex quantum systems
- Quantum thermodynamics in strong coupling: heat transport and refrigeration
- Non-Markovian dynamics for bipartite systems
- Incomplete measurement of work in a dissipative two level system
- Quantum jump model for a system with a finite-size environment
- Heat flux and information backflow in cold condensed matter systems
- Fluctuation theorems for non-Markovian quantum processes
- Finite size bath in qubit thermodynamics
- Dual-probe decoherence microscopy: Probing pockets of coherence in a decohering environment
- Energy fluctuations of finite free-electron Fermi gas
- Comparison between quantum jumps and master equation in the presence of a finite environment
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