Squeezing the Free Scalar Ground State

TL;DR

This paper constructs a squeeze operator that maps the ground state of a free scalar field with one mass to another with a different mass, using both Dirac and Schrödinger formalisms, and suggests potential generalizations to topological sectors.

Contribution

It introduces a novel squeeze operator for scalar fields connecting different mass ground states, described in multiple formalisms, and proposes broader applicability to topological sectors.

Findings

Explicit form of the squeeze operator for different masses

Representation in Dirac and Schrödinger formalisms

Potential extension to topological sectors

Abstract

Consider two free Hamiltonians for the same scalar field with two different masses. Wefind a squeeze operator which maps the ground state of one to the other. The operatoris described in both the Dirac and also the Schrodinger wavefunctional formalismsfor quantum field theory. We conjecture that this construction can be generalized toobtain operators which map between distinct topological sectors in the same theory.