Combining Lindblad Master Equation and Surface Hopping to Evolve Distributions of Quantum Particles

The Journal of Physical Chemistry B ◽

10.1021/acs.jpcb.0c03030 ◽

2020 ◽

Vol 124 (21) ◽

pp. 4326-4337

Author(s):

Yi-Siang Wang ◽

Parmeet Nijjar ◽

Xin Zhou ◽

Denys I. Bondar ◽

Oleg V. Prezhdo

Keyword(s):

Master Equation ◽

Surface Hopping ◽

Quantum Particles ◽

Lindblad Master Equation

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Non-Markovian quantum jump with generalized Lindblad master equation

Physical Review E ◽

10.1103/physreve.78.041107 ◽

2008 ◽

Vol 78 (4) ◽

Author(s):

X. L. Huang ◽

H. Y. Sun ◽

X. X. Yi

Keyword(s):

Master Equation ◽

Quantum Jump ◽

Lindblad Master Equation

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A Surface Hopping View of Electrochemistry: Non-Equilibrium Electronic Transport through an Ionic Solution with a Classical Master Equation

The Journal of Physical Chemistry C ◽

10.1021/acs.jpcc.5b06655 ◽

2015 ◽

Vol 119 (36) ◽

pp. 20833-20844 ◽

Author(s):

Wenjun Ouyang ◽

Jeffery G. Saven ◽

Joseph E. Subotnik

Keyword(s):

Master Equation ◽

Electronic Transport ◽

Surface Hopping ◽

Ionic Solution ◽

Non Equilibrium

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Quantum Fluctuation Relations for the Lindblad Master Equation

Journal of Statistical Physics ◽

10.1007/s10955-012-0557-z ◽

2012 ◽

Vol 148 (3) ◽

pp. 480-501 ◽

Author(s):

R. Chetrite ◽

K. Mallick

Keyword(s):

Master Equation ◽

Quantum Fluctuation ◽

Fluctuation Relations ◽

Lindblad Master Equation

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Well-posedness and convergence of the Lindblad master equation for a quantum harmonic oscillator with multi-photon drive and damping

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv/2016050 ◽

2016 ◽

Vol 22 (4) ◽

pp. 1353-1369

Author(s):

Rémi Azouit ◽

Alain Sarlette ◽

Pierre Rouchon

Keyword(s):

Harmonic Oscillator ◽

Master Equation ◽

Well Posedness ◽

Quantum Harmonic Oscillator ◽

Lindblad Master Equation

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A short introduction to the Lindblad master equation

AIP Advances ◽

10.1063/1.5115323 ◽

2020 ◽

Vol 10 (2) ◽

pp. 025106 ◽

Author(s):

Daniel Manzano

Keyword(s):

Master Equation ◽

Short Introduction ◽

Lindblad Master Equation

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Jump-diffusion unravelling of a non-Markovian generalized Lindblad master equation

Journal of Mathematical Physics ◽

10.1063/1.3514539 ◽

2010 ◽

Vol 51 (11) ◽

pp. 112104 ◽

Author(s):

A. Barchielli ◽

C. Pellegrini

Keyword(s):

Master Equation ◽

Jump Diffusion ◽

Lindblad Master Equation

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Maxwell boundary conditions imply non-Lindblad master equation

Physical Review A ◽

10.1103/physreva.94.033802 ◽

2016 ◽

Vol 94 (3) ◽

Author(s):

Motoaki Bamba ◽

Nobuyuki Imoto

Keyword(s):

Boundary Conditions ◽

Master Equation ◽

Lindblad Master Equation

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Random-matrix theory for the Lindblad master equation

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/5.0033486 ◽

2021 ◽

Vol 31 (2) ◽

pp. 023101

Author(s):

Stefan Lange ◽

Carsten Timm

Keyword(s):

Master Equation ◽

Random Matrix Theory ◽

Random Matrix ◽

Matrix Theory ◽

Lindblad Master Equation

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Spectral resolution of the Liouvillian of the Lindblad master equation for a harmonic oscillator

Journal of Mathematical Physics ◽

10.1063/1.3442363 ◽

2010 ◽

Vol 51 (7) ◽

pp. 072107 ◽

Author(s):

Daigo Honda ◽

Hiromichi Nakazato ◽

Motoyuki Yoshida

Keyword(s):

Harmonic Oscillator ◽

Master Equation ◽

Spectral Resolution ◽

Lindblad Master Equation

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NON-MARKOVIAN EFFECTS IN THE LINDBLAD MASTER EQUATION APPROACH TO ELECTRONIC TRANSPORT

Symmetry, Spin Dynamics and the Properties of Nanostructures ◽

10.1142/9789814740371_0005 ◽

2015 ◽

Author(s):

P. Ribeiro ◽

V. R. Vieira

Keyword(s):

Master Equation ◽

Electronic Transport ◽

Equation Approach ◽

Master Equation Approach ◽

Lindblad Master Equation

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