Feedback of Non-Markovian Quantum Dynamics in Dimer System:the Effect of Correlated Environments and Temperature

Ferdi Altintas, Resul Eryiğit

朱钦圣, 丁长春, 邬劭轶 +1 more

In this work,we research the non-Markovian dynamical process of the dimer system and the effect of the interactional environments for the information feedback under different temperature T. Not only the functional relation of the trace distance and the fidelity are obtained,but also the changing properties of the fidelity and the measure quantity N(φ) which are used to quantify the degree of the non-Markovian process are discussed as a function of the interactional strength q between the environments. These results show a possible method which can preserve the information and enhance the distinguishability of the pair of states in decohering environments.

Nasim Shahmansoori, Farhad Taher Ghahramani, Afshin Shafiee

Qinsheng Zhu, Chang‐Chun Ding, Shao-Yi Wu +1 more

Abstract In this work, we research the non-Markovian dynamical process of the dimer system and the effect of the interactional environments for the information feedback under different temperature T. Not only the functional relation of the trace distance and the fidelity are obtained, but also the changing properties of the fidelity and the measure quantity N ( ϕ ) which are used to quantify the degree of the non-Markovian process are discussed as a function of the interactional strength q between the environments. These results show a possible method which can preserve the information and enhance the distinguishability of the pair of states in decohering environments.

Laurent Sanchez-Palencia

Laura Mazzola

In this Thesis I discuss the exact dynamics of simple non-Markovian systems. I focus on fundamental questions at the core of non-Markovian theory and investigate the dynamics of quantum correlations under non-Markovian decoherence. \n \nIn the first context I present the connection between two different non-Markovian approaches, and compare two distinct definitions of non-Markovianity. The general aim is to characterize in exemplary cases which part of the environment is responsible for the feedback of information typical of non- Markovian dynamics. I also show how such a feedback of information is not always described by certain types of master equations commonly used to tackle non-Markovian dynamics. \n \nIn the second context I characterize the dynamics of two qubits in a common non-Markovian reservoir, and introduce a new dynamical effect in a wellknown model, i.e., two qubits under depolarizing channels. In the first model the exact solution of the dynamics is found, and the entanglement behavior is extensively studied. The non-Markovianity of the reservoir and reservoirmediated-interaction between the qubits cause non-trivial dynamical features. \n \nThe dynamical interplay between different types of correlations is also investigated. In the second model the study of quantum and classical correlations demonstrates the existence of a new effect: the sudden transition between classical and quantum decoherence. This phenomenon involves the complete preservation of the initial quantum correlations for long intervals of time of the order of the relaxation time of the system.