TY - JOUR
T1 - Positivity-preserving non-Markovian master equation for open quantum system dynamics
T2 - Stochastic Schrödinger equation approach
AU - Shi, Wufu
AU - Chen, Yusui
AU - Ding, Quanzhen
AU - Wang, Jin
AU - Yu, Ting
N1 - Publisher Copyright:
© 2024 American Physical Society.
PY - 2024/2
Y1 - 2024/2
N2 - Positivity preservation is naturally guaranteed in exact non-Markovian master equations for open quantum system dynamics. However, in many approximated non-Markovian master equations, the positivity of the reduced density matrix is not guaranteed. In this paper we provide a general class of time-local, perturbative, and positivity-preserving non-Markovian master equations generated from stochastic Schrödinger equations, particularly quantum-state-diffusion equations. Our method has an expanded range of applicability for accommodating a variety of non-Markovian environments. We show the positivity-preserving master equation for a three-level system coupled to a dissipative bosonic environment as a particular example to exemplify our general approach. We illustrate the numerical simulations with an analysis explaining why the previous approximated non-Markovian master equations cannot guarantee positivity. Our work provides a consistent master equation for studying the non-Markovian dynamics in ultrafast quantum processes and strong-coupling systems.
AB - Positivity preservation is naturally guaranteed in exact non-Markovian master equations for open quantum system dynamics. However, in many approximated non-Markovian master equations, the positivity of the reduced density matrix is not guaranteed. In this paper we provide a general class of time-local, perturbative, and positivity-preserving non-Markovian master equations generated from stochastic Schrödinger equations, particularly quantum-state-diffusion equations. Our method has an expanded range of applicability for accommodating a variety of non-Markovian environments. We show the positivity-preserving master equation for a three-level system coupled to a dissipative bosonic environment as a particular example to exemplify our general approach. We illustrate the numerical simulations with an analysis explaining why the previous approximated non-Markovian master equations cannot guarantee positivity. Our work provides a consistent master equation for studying the non-Markovian dynamics in ultrafast quantum processes and strong-coupling systems.
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U2 - 10.1103/PhysRevA.109.022203
DO - 10.1103/PhysRevA.109.022203
M3 - Article
AN - SCOPUS:85184136698
SN - 2469-9926
VL - 109
JO - Physical Review A
JF - Physical Review A
IS - 2
M1 - 022203
ER -