scholarly journals Quantifying non-Markovianity for a chromophore–qubit pair in a super-Ohmic bath

2015 ◽  
Vol 17 (12) ◽  
pp. 8087-8096 ◽  
Author(s):  
Jing Liu ◽  
Kewei Sun ◽  
Xiaoguang Wang ◽  
Yang Zhao
Keyword(s):  
Master Equation ◽  
Quantum Dynamics

An approach based on a non-Markovian time-convolutionless polaron master equation is used to probe the quantum dynamics of a chromophore–qubit pair in a super-Ohmic bath and to quantify its non-markovianity.

scholarly journals A general approach to quantum dynamics using a variational master equation: Application to phonon-damped Rabi rotations in quantum dots

2011 ◽  
Vol 84 (8) ◽  
Author(s):  
Dara P. S. McCutcheon ◽  
Nikesh S. Dattani ◽  
Erik M. Gauger ◽  
Brendon W. Lovett ◽  
Ahsan Nazir
Keyword(s):  
Quantum Dots ◽  
Master Equation ◽  
Quantum Dynamics

scholarly journals An Open Dynamical System Approach to Dissipative Quantum Dot Array Antennas

2022 ◽  
Author(s):  
Said Mikki
Keyword(s):  
Quantum Dot ◽  
Master Equation ◽  
Quantum Dynamics ◽  
Antenna System ◽  
Computational Approach ◽  
Quantum Dissipation ◽  
Analysis And Design ◽  
Quantum Radiation ◽  
Open Dynamical System ◽  
External Signals

A new computational approach to quantum antennas based on first principle open stochastic quantum dynamics.<div><br></div><div>We develop a general computational approach for the analysis and design of quantum antenna systems comprised of coupled quantum dot arrays interacting with external fields and producing quantum radiation. The method is based on using the GKSL master equation to model quantum dissipation and decoherence. The density operator of a coupled two-level quantum dot (qbit) array, excited by classical external signals with variable amplitude and phase, is evolved in time using a quantum Liouville-like equation (the master equation). We illustrate the method in a numerical example where it is shown that manipulating the phase excitations of individual quantum dots may significantly enhance the directive radiation properties of the quantum dot antenna system<br></div>

Quantum dynamics in fluctuating traps: Master equation, decoherence, and heating

2006 ◽  
Vol 74 (2) ◽  
Author(s):  
Thimo Grotz ◽  
Libby Heaney ◽  
Walter T. Strunz
Keyword(s):  
Master Equation ◽  
Quantum Dynamics

scholarly journals On the accuracy of the Padé-resummed master equation approach to dissipative quantum dynamics

2016 ◽  
Vol 144 (15) ◽  
pp. 154106 ◽  
Author(s):  
Hsing-Ta Chen ◽  
Timothy C. Berkelbach ◽  
David R. Reichman
Keyword(s):  
Master Equation ◽  
Quantum Dynamics ◽  
Equation Approach ◽  
Master Equation Approach

scholarly journals Energy Conservation and the Correlation Quasi-Temperature in Open Quantum Dynamics

Particles ◽  
2018 ◽  
Vol 1 (1) ◽  
pp. 285-295 ◽  
Author(s):  
Vladimir Morozov ◽  
Vasyl’ Ignatyuk
Keyword(s):  
Energy Conservation ◽  
Master Equation ◽  
Interaction Energy ◽  
Conservation Law ◽  
Quantum Dynamics ◽  
State Parameter ◽  
Dynamical Variable ◽  
Open Quantum ◽  
Weak Coupling Approximation ◽  
The Mean

The master equation for an open quantum system is derived in the weak-coupling approximation when the additional dynamical variable—the mean interaction energy—is included into the generic relevant statistical operator. This master equation is nonlocal in time and involves the “quasi-temperature”, which is a non- equilibrium state parameter conjugated thermodynamically to the mean interaction energy of the composite system. The evolution equation for the quasi-temperature is derived using the energy conservation law. Thus long-living dynamical correlations, which are associated with this conservation law and play an important role in transition to the Markovian regime and subsequent equilibration of the system, are properly taken into account.

scholarly journals An Open Dynamical System Approach to Dissipative Quantum Dot Array Antennas

2022 ◽  
Author(s):  
Said Mikki
Keyword(s):  
Quantum Dot ◽  
Master Equation ◽  
Quantum Dynamics ◽  
Antenna System ◽  
Computational Approach ◽  
Quantum Dissipation ◽  
Analysis And Design ◽  
Quantum Radiation ◽  
Open Dynamical System ◽  
External Signals

A new computational approach to quantum antennas based on first principle open stochastic quantum dynamics.<div><br></div><div>We develop a general computational approach for the analysis and design of quantum antenna systems comprised of coupled quantum dot arrays interacting with external fields and producing quantum radiation. The method is based on using the GKSL master equation to model quantum dissipation and decoherence. The density operator of a coupled two-level quantum dot (qbit) array, excited by classical external signals with variable amplitude and phase, is evolved in time using a quantum Liouville-like equation (the master equation). We illustrate the method in a numerical example where it is shown that manipulating the phase excitations of individual quantum dots may significantly enhance the directive radiation properties of the quantum dot antenna system<br></div>

scholarly journals An Introduction to Operational Quantum Dynamics

2017 ◽  
Vol 24 (04) ◽  
pp. 1740016 ◽  
Author(s):  
Simon Milz ◽  
Felix A. Pollock ◽  
Kavan Modi
Keyword(s):  
Quantum Information ◽  
Quantum Chemistry ◽  
Master Equation ◽  
Quantum Dynamics ◽  
Quantum Physics ◽  
Special Volume ◽  
40Th Anniversary ◽  
Quantum Processes ◽  
Present Contribution ◽  
Lindblad Master Equation

This special volume celebrates the 40th anniversary of the discovery of the Gorini-Kossakowski-Sudarshan-Lindblad master equation, which is widely used in quantum physics and quantum chemistry. The present contribution aims to celebrate a related discovery — also by Sudarshan — that of Quantum Maps (which had their 55th anniversary in the same year). Nowadays, much like the master equation, quantum maps are ubiquitous in physics and chemistry. Their importance in quantum information and related fields cannot be overstated. Here, we motivate quantum maps from a tomographic perspective, and derive their well-known representations. We then dive into the murky world beyond these maps, where recent research has yielded their generalisation to non-Markovian quantum processes.

scholarly journals Quantum dynamics intervened by repeated nonselective measurements

2017 ◽  
Vol 15 (08) ◽  
pp. 1740027
Author(s):  
Sergey N. Filippov
Keyword(s):  
System Dynamics ◽  
Master Equation ◽  
Quantum System ◽  
Quantum Dynamics ◽  
Open Quantum System ◽  
Hamiltonian Dynamics ◽  
Time Dependent ◽  
Zener Model ◽  
Diabatic States ◽  
Measurement Basis

We derive the theory of open quantum system dynamics intervened by a series of nonselective measurements. We analyze the cases of time-independent and time-dependent Hamiltonian dynamics between the measurements and find the approximate master equation in the stroboscopic limit. We also consider a situation, in which the measurement basis changes in time, and illustrate it by nonselective measurements in the basis of diabatic states of the Landau–Zener model.

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