Collapse and Revival of `Schr\"odinger Cat' States

TL;DR

This paper investigates the dynamics of Schr"odinger Cat states in a Jaynes-Cummings model with multiple qubits, demonstrating collapse and revival phenomena of macroscopic quantum superpositions between qubits and a cavity field.

Contribution

It introduces a detailed analysis of collapse and revival of Schr"odinger Cat states in a multi-qubit Jaynes-Cummings system, highlighting the oscillatory exchange of superpositions.

Findings

Observation of oscillations between macroscopic superpositions

Collapse and revival phenomena in multi-qubit systems

Dependence on initial states and system parameters

Abstract

We study the dynamics of the Jaynes-Cummings Model for an array of $N_q$ two level systems (or qubits) interacting with a quantized single mode electromagnetic cavity (or quantum bus). For an initial cavity coherent state $| \alpha >$ and the qubit system in a specified `basin of attraction' in its Hilbert space, we demonstrate the oscillation of a superposition of two macroscopic quantum states between the qubit system and the field mode. From the perspective of either the qubit or the field system, there is collapse and revival of a `Schr\"odinger Cat' state.