Quantum-classical correspondence via coherent state in integrable field theory

TL;DR

This paper introduces a method to construct a quantum state in integrable field theories whose expectation value matches a classical soliton, exploring its evolution and stability issues.

Contribution

It proposes a novel way to create a coherent state in integrable field theories that exactly reproduces classical solitons at the quantum level.

Findings

Constructed a quantum coherent state matching classical solitons

Analyzed the time evolution of the quantum state

Discussed instability caused by nonlinearity

Abstract

We consider the problem of quantum-classical correspondence in integrable field theories. We propose a method to construct a field theoretical coherent state, in which the expectation value of the quantum field operator exactly coincides with the classical soliton. We also discuss the time evolution of this quantum state and the instability due to the nonlinearity.