Schrödinger equation versus Master equation

P. Caldirola, L. A. Lugiato

Manuel O. Cáceres, Ana Karina Chattah

Ting Yu

The interrelationship between the non-Markovian stochastic Schr\"odinger equations and the corresponding non-Markovian master equations is investigated in the finite-temperature regimes. We show that the general finite-temperature non-Markovian trajectories can be used to derive the corresponding non-Markovian master equations. A simple, yet important solvable example is the well-known damped harmonic oscillator model in which a harmonic oscillator is coupled to a finite-temperature reservoir in the rotating-wave approximation. The exact convolutionless master equation for the damped harmonic oscillator is obtained by averaging the quantum trajectories, relying upon no assumption of coupling strength or time scale. The master equation derived in this way automatically preserves the positivity, Hermiticity, and unity.

Lucjan Piela

L. Bányai

Time-Reversal and Evolution Toward Equilibrium Schrodinger Equation Versus Master Equation Naive Quantum Kinetics The Boltzmann Equation The Nyquist Theorem Excitonic Absorption in a Semiconductor Charged Particles Interacting with the Quantized Electromagnetic Field Two-Level Atom Interacting with Light Real-Time Experiments: Ultra-Short-Time Spectroscopy Keldysh-Green Functions and Time-Reversal and other papers.