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Related Experiment Video

Updated: May 21, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Exact solution for a non-Markovian dissipative quantum dynamics.

Luca Ferialdi¹, Angelo Bassi

¹Dipartimento di Fisica, Università di Trieste, Trieste, Italy. ferialdi@ts.infn.it

Physical Review Letters

|June 12, 2012

Summary

This summary is machine-generated.

Researchers solved the stochastic Schrödinger equation for a harmonic oscillator in a dissipative, non-Markovian environment. This exact solution offers insights into complex quantum dynamics and infinite-dimensional systems.

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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

Quantum mechanics
Statistical physics

Background:

Non-Markovian dynamics are crucial for understanding open quantum systems.
Stochastic differential equations are used to model complex quantum phenomena.
Exactly solvable models are rare, especially for infinite-dimensional systems.

Purpose of the Study:

To find the exact analytic solution for a harmonic oscillator interacting with a non-Markovian and dissipative environment.
To establish a benchmark for studying non-Markovian dynamics using stochastic differential equations.
To explore exactly solvable models in infinite dimensions.

Main Methods:

Solving the stochastic Schrödinger equation.
Utilizing analytic techniques for non-Markovian systems.
Computing the Green's function.

Main Results:

An exact analytic solution for the specified quantum system.
A significant advancement in the study of non-Markovian dynamics.
The Green's function was computed.

Conclusions:

The study provides a rare exactly solvable model for infinite-dimensional systems.
The results offer a new perspective on non-Markovian quantum dynamics.
The evolution of Gaussian wave functions was discussed for specific cases.