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

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Fluctuations and stochastic processes in one-dimensional many-body quantum systems.

H-P Stimming¹, N J Mauser, J Schmiedmayer

¹Wolfgang Pauli Institute c/o Universität Wien, Nordbergstrasse 15, 1090 Vienna, Austria.

Physical Review Letters

|September 28, 2010

Summary

This study explores quantum noise and thermal excitations in interacting boson systems. We developed a new semiclassical model to describe thermal fluctuations, offering insights into quantum system behavior.

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Area of Science:

Condensed matter physics
Quantum many-body systems
Quantum optics

Background:

Understanding quantum noise and thermal excitations is crucial for characterizing many-body quantum systems.
Interacting boson systems exhibit complex fluctuation properties that are challenging to model.
Distinguishing between quantum and thermal regimes is key for controlling quantum devices.

Purpose of the Study:

To investigate fluctuation properties in one-dimensional interacting boson systems.
To identify and analyze regimes dominated by quantum noise versus thermal excitations.
To develop a semiclassical description for thermal fluctuation properties.

Main Methods:

Analysis of fluctuation properties in a one-dimensional many-body quantum system.
Development of a semiclassical description using the Ornstein-Uhlenbeck stochastic process.
Calculation of phase correlation functions and statistical distributions for interference patterns.

Main Results:

Identification of distinct regimes for quantum noise and thermal excitation dominance.
Successful application of the Ornstein-Uhlenbeck process to describe thermal fluctuations.
Comparison of theoretical predictions with interference data from independent and coupled systems.

Conclusions:

The study provides a framework for understanding fluctuation properties in interacting quantum systems.
The developed semiclassical approach offers a valuable tool for analyzing thermal regimes.
Results offer insights for experimental control and characterization of quantum boson systems.