Non-Markovianity and initial correlations for the generalized Lindblad master equation

Open Physics ◽  
2012 ◽  
Vol 10 (4) ◽  
Author(s):  
Huang Xiao-Li ◽  
Shao-Cheng Hou ◽  
Lin-Cheng Wang ◽  
Xue-Xi Yi
Keyword(s):  
Master Equation ◽  
Initial System ◽  
Information Flows ◽  
Level System ◽  
System Environment ◽  
Initial Correlations ◽  
Energy Flows ◽  
Initial States ◽  
Lindblad Master Equation

AbstractTaking a two-level system interacting with a two-band environment as an example, we discuss the non-Markovianity and initial system-environment correlations for the generalized Lindblad master equation by using a recently introduced measure given by Breuer et al. Our results show that the initial states of the environment and initial system-environment correlations have strong effects on the non-Markovianity of the reduced system. Moreover, we also show that information and energy can flow in different directions, i.e., energy flows to the system while information flows from the system, which is quite different from previous results.

Dynamical decoupling with initial system-environment correlations

2021 ◽  
pp. 2150068
Author(s):  
Juju Hu ◽  
Qiang Ke ◽  
Yinghua Ji
Keyword(s):  
High Frequency ◽  
Open Quantum System ◽  
Initial System ◽  
Dynamical Decoupling ◽  
System Environment ◽  
Initial Correlations ◽  
Initial Correlation ◽  
Pure Dephasing ◽  
Analytical Expressions ◽  
Suppression Effects

Dynamical decoupling (DD) technique is one of the most successful methods to suppress decoherence in qubit systems. In this paper, we studied a solvable pure dephasing model and investigated how DD sequences and initial correlations affect this system. We gave the analytical expressions of decoherence functions and compared the decoherence suppression effects of DD pulses in Ohmic, sub-Ohmic and super-Ohmic environments. Our results show that (1) The initial system-environment correlation will cause additional decoherence. In order to control the dynamic process of open quantum system more accurately and effectively, the initial correlation between the system and reservoir must be considered. (2) High frequency DD pulses can significantly reduce the amplitude of the decoherence function even in the presence of initial system-environment correlations.

scholarly journals Thermodynamic length in open quantum systems

Quantum ◽  
2019 ◽  
Vol 3 ◽  
pp. 197 ◽  
Author(s):  
Matteo Scandi ◽  
Martí Perarnau-Llobet
Keyword(s):  
Master Equation ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Gibbs States ◽  
Inner Product ◽  
Ising Chain ◽  
Level System ◽  
Thermodynamic Process ◽  
Open Quantum ◽  
Lindblad Master Equation

The dissipation generated during a quasistatic thermodynamic process can be characterised by introducing a metric on the space of Gibbs states, in such a way that minimally-dissipating protocols correspond to geodesic trajectories. Here, we show how to generalize this approach to open quantum systems by finding the thermodynamic metric associated to a given Lindblad master equation. The obtained metric can be understood as a perturbation over the background geometry of equilibrium Gibbs states, which is induced by the Kubo-Mori-Bogoliubov (KMB) inner product. We illustrate this construction on two paradigmatic examples: an Ising chain and a two-level system interacting with a bosonic bath with different spectral densities.

scholarly journals Geometric phase corrected by initial system-environment correlations

2020 ◽  
Vol 101 (2) ◽  
Author(s):  
Sharoon Austin ◽  
Sheraz Zahid ◽  
Adam Zaman Chaudhry
Keyword(s):  
Geometric Phase ◽  
Initial System ◽  
System Environment

scholarly journals Purity as a witness for initial system-environment correlations in open-system dynamics

2011 ◽  
Vol 84 (4) ◽  
Author(s):  
D Z. Rossatto ◽  
T. Werlang ◽  
L K. Castelano ◽  
C J. Villas-Boas ◽  
F F. Fanchini
Keyword(s):  
System Dynamics ◽  
Open System ◽  
Initial System ◽  
System Environment
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