Wormholes in Quantum Mechanics

Understand

We introduce a geometric path integral definition of wormhole partition functions in a general class of 1D quantum systems obtained by quantizing a phase space.

• We compute the wormhole partition function in a semi-classical limit and in some simple examples.
• The partition function of the n-fold wormhole is found to be identical to the n-th Renyi entropy of a thermal mixed state of the doubled system.
• This mixed state incorporates three types of quantum statistical behavior: classically correlated, quantum entangled, and classically uncorrelated.