Statistical Mechanics of Amplifying Apparatus

TL;DR

This paper develops a statistical mechanics framework for quantum amplifiers, deriving measurement probabilities from deterministic quantum dynamics in a thermodynamic limit, bridging quantum and classical descriptions.

Contribution

It introduces a thermodynamic limit for quantum amplifiers and derives measurement probabilities from classical statistical mechanics techniques.

Findings

Defined a thermodynamic limit for quantum amplifiers

Established macroscopic pointer variables for the limit system

Derived measurement probabilities from Schrödinger dynamics

Abstract

We implement Feynman's suggestion that the only missing notion needed for the puzzle of Quantum Measurement is the statistical mechanics of amplifying apparatus. We define a thermodynamic limit of quantum amplifiers which is a classically describable system in the sense of Bohr, and define macroscopic pointer variables for the limit system. Then we derive the probabilities of Quantum Measurement from the deterministic Schroedinger equation by the usual techniques of Classical Statistical Mechanics.