Abstract

We consider how macroscopic quantum superpositions may be created from arrays of Bose–Einstein condensates. We study a system of three condensates in Fock states, all with the same number of atoms and show that this has the form of a highly entangled superposition of different quasi-momenta. We then show how, by partially releasing these condensates and detecting an interference pattern where they overlap, it is possible to create a macroscopic superposition of different relative phases for the remaining portions of the condensates. We discuss methods for confirming these superpositions.

Highlights

  • We consider how macroscopic quantum superpositions may be created from arrays of BoseEinstein condensates

  • The cat is in a superposition of being alive and dead depending on the state of the nucleus. This outcome is at odds with our classical perception of the physical world and has generated a great deal of discussion about whether macroscopic superposition states can be observed

  • Bose-Einstein condensates are a promising starting point for creating and studying cat states since they consist of a large number of particles all in the same quantum state and are sufficiently cold to enable quantum phase transitions

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Summary

Introduction

We consider how macroscopic quantum superpositions may be created from arrays of BoseEinstein condensates. Bose-Einstein condensates are a promising starting point for creating and studying cat states since they consist of a large number of particles all in the same quantum state and are sufficiently cold to enable quantum phase transitions. As our starting point we consider states where each site in the lattice has precisely the same number of atoms.

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