Squeezed coherent states for a free particle with time-varying mass

TL;DR

This paper derives squeezed coherent states for a free particle with exponentially changing mass, exploring their properties, semiclassical conditions, and transition probabilities, advancing quantum state control in time-varying mass systems.

Contribution

It introduces a method to construct squeezed coherent states for a free particle with time-varying mass and analyzes their semiclassical and transition properties.

Findings

Squeezed coherent states are explicitly constructed for a free particle with time-varying mass.

Conditions for semiclassical states are identified based on displacement parameters.

Transition probabilities from Fock states to these states are analyzed.

Abstract

We obtain the squeezed coherent states (SCS) for a free particle with exponentially time-varying mass. We write these states in terms of the squeeze and displacement parameters on the time-independent Fock states. Thus, we find a condition on the displacement parameter such that the SCS can be considered semiclassical states. We show that it is possible to obtain the coherent states (CS) for a free particle with minimal uncertainty as long as the mass increases with the time. We analyze the transition probability of a system initially prepared in the time-independent Fock states to the free particle SCS.