The Relation of Thermal Fluctuation and Information-Entropy for One-Dimensional Rindler Oscillator

TL;DR

This paper explores how thermal fluctuations affect information entropy in a one-dimensional Rindler oscillator using thermo-field-dynamics, revealing that increased thermal fluctuation results in information loss.

Contribution

It derives the relationship between thermal fluctuation and information-entropy for the Rindler oscillator within the TFD framework, highlighting the impact of temperature on information loss.

Findings

Thermal fluctuation causes loss of information in the Rindler oscillator.

Derived explicit connection between information-entropy and thermal fluctuation.

Confirmed that increased temperature leads to greater information loss.

Abstract

Within the framework of thermo-field-dynamics (TFD), the information-entropies associated with the measurements of position and momentum for one-dimensional Rindler oscillator are derived, and the connection between its information-entropy and thermal fluctuation is obtained. A conclusion is drawn that the thermal fluctuation leads to the loss of information.