scholarly journals Non-Markovian dynamics of a two-level system in a bosonic bath and a Gaussian fluctuating environment with finite correlation time

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
V. A. Mikhailov ◽  
N. V. Troshkin
Keyword(s):  
Correlation Time ◽  
Level System ◽  
Fluctuating Environment ◽  
Markovian Dynamics ◽  
Finite Correlation

scholarly journals Non-Markovian dynamics of a three-level atom in a stochastic field with finite correlation time due to initial correlations

2019 ◽  
Vol 220 ◽  
pp. 03031
Author(s):  
Victor Mikhailov ◽  
Nikolay Troshkin
Keyword(s):  
Correlation Time ◽  
Stochastic Environment ◽  
Initial State ◽  
Stochastic Field ◽  
State Reduction ◽  
Von Neumann ◽  
Level Atom ◽  
Markovian Dynamics ◽  
Pure Dephasing ◽  
Finite Correlation

Dynamics of a three-level atom interacting with a stochastically fluctuating environment characterized by finite correlation time is investigated in the cases of a product initial state and a correlated initial state. The correlated initial state is obtained by the state reduction caused by the von Neumann measurement on the quantum system evolved from the product initial state and surrounded by the initially stationary stochastic environment. It is shown that in case of a pure dephasing process under the influence of a Kubo-Anderson type stochastic environment, the projective measurement causes the emergence of correlations between previously independent stochastic processes, their non-stationarity, and also causes the transition from a Markovian-type evolution to a non-Markovian one.

scholarly journals Non-Markovian decoherence of a two-level system in a Lorentzian bosonic reservoir and a stochastic environment with finite correlation time

2021 ◽  
Vol 45 (3) ◽  
pp. 372-381
Author(s):  
V.A. Mikhailov ◽  
N.V. Troshkin
Keyword(s):  
Equations Of Motion ◽  
Emission Spectra ◽  
Level System ◽  
Stochastic Field ◽  
Fluctuating Environment ◽  
Markovian Dynamics ◽  
Rotating Wave ◽  
Coupling Strengths ◽  
Reduced Density ◽  
The Impact

In this paper we investigate non-Markovian evolution of a two-level system (qubit) in a bosonic bath under influence of an external classical fluctuating environment. The interaction with the bath has the Lorentzian spectral density, and the fluctuating environment (stochastic field) is represented by a set of Ornstein-Uhlenbeck processes. Each of the subenvironments of the composite environment is able to induce non-Markovian dynamics of the two-level system. By means of the numerically exact method of hierarchical equations of motion, we study steady states of the two-level system, evolution of the reduced density matrix and the equilibrium emission spectra in dependence on the frequency cutoffs and the coupling strengths of the subenvironments. Additionally, we investigate the impact of the rotating wave approximation (RWA) for the interaction with the bath on accuracy of the results.

Finite Correlation Time

1997 ◽  
pp. 103-117
Author(s):  
Leonid I. Piterbarg ◽  
Alexander G. Ostrovskii
Keyword(s):  
Correlation Time ◽  
Finite Correlation

scholarly journals Non-Markovian Dynamics of an Open Two-Level System with Amplitude-Phase Damping

2013 ◽  
Vol 03 (01) ◽  
pp. 27-33 ◽  
Author(s):  
Ning Tang ◽  
Guoyou Wang ◽  
Zilong Fan ◽  
Haosheng Zeng
Keyword(s):  
Level System ◽  
Phase Damping ◽  
Markovian Dynamics

scholarly journals Eternally non-Markovian dynamics of a qubit interacting with a single-photon wavepacket

2021 ◽  
Author(s):  
Anita Dabrowska ◽  
Dariusz Chruscinski ◽  
Sagnik Chakraborty ◽  
Gniewomir Sarbicki
Keyword(s):  
Characteristic Feature ◽  
Wave Packet ◽  
Detailed Analysis ◽  
Single Photon ◽  
Level System ◽  
Resonant Case ◽  
Temporal Correlations ◽  
Input Field ◽  
Markovian Dynamics ◽  
Local Generator

Abstract An evolution of a two-level system (qubit) interacting with a single-photon wave packet is analyzed. It is shown that a hierarchy of master equations gives rise to phase covariant qubit evolution. The temporal correlations in the input field induce nontrivial memory effects for the evolution of a qubit. It is shown that in the resonant case whenever time-local generator is regular (does not display singularities) the qubit evolution never displays information backflow. However, in general the generator might be highly singular leading to intricate non-Markovian effects. A detailed analysis of the exponential profile is provided which allows to illustrate all characteristic feature of the qubit evolution.

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