Quantification of memory effects in the spin-boson model

Abstract

Employing a recently proposed measure for quantum non-Markovianity, we carry out a systematic study of the size of memory effects in the spin-boson model for a large region of temperature and frequency cutoff parameters. The dynamics of the open system is described utilizing a second-order time-convolutionless master equation without the Markov or rotating wave approximations. While the dynamics is found to be strongly non-Markovian for low temperatures and cutoffs, in general, we observe a special regime favoring Markovian behavior. This effect is explained as resulting from a resonance between the system's transition frequency and the frequencies of the dominant environmental modes. We further demonstrate that the corresponding Redfield equation is capable of reproducing the characteristic features of the non-Markovian quantum behavior of the model.

7 pages, 5 figures

References in corpus (21)

• Quantum state engineering with Josephson-junction devices
• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• Manipulating the Quantum State of an Electrical Circuit
• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Coherent Quantum Dynamics of a Superconducting Flux Qubit
• Quantum computing with trapped ions
• Entanglement and non-Markovianity of quantum evolutions
• Coherent manipulation of electronic states in a double quantum dot
• Assessing non-Markovian dynamics
• Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems
• Measure for the Non-Markovianity of Quantum Processes
• Manipulation of a single charge in a double quantum dot
• On measures of non-Markovianity: divisibility vs. backflow of information
• Markovian and non-Markovian dynamics in quantum and classical systems
• Quantifying, characterizing and controlling information flow in ultracold atomic gases
• Mesoscopic Spin-Boson Models of Trapped Ions
• Measuring non-Markovianity of processes with controllable system-environment interaction
• Comparing different non-Markovianity measures: A case study
• Memory-keeping effects and forgetfulness in the dynamics of a qubit coupled to a spin chain
• Exciton-phonon information flow in the energy transfer process of photosynthetic complexes
• Phenomenological memory-kernel master equations and time-dependent Markovian processes

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