Quantum Superposition of Two Gravitational Cat States
- URL: http://arxiv.org/abs/2007.06446v3
- Date: Tue, 6 Oct 2020 20:08:14 GMT
- Title: Quantum Superposition of Two Gravitational Cat States
- Authors: Charis Anastopoulos and Bei-Lok Hu
- Abstract summary: We extend our earlier work on probing a gravitational cat state (gravcat) in an exemplary model and in Bose-Einstein condensates (BEC)
Using a mathematical analogy to quantum rotors, we explore the properties of the two-gravcat system for BECs, its physical consequences and observational possibilities.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We extend our earlier work on probing a gravitational cat state
(gravcat)---see, arXiv:1504.03103 ---to the quantum superposition of two
gravcats in an exemplary model and in Bose-Einstein condensates (BEC). In
addition to its basic theoretical values in gravitational quantum physics and
macroscopic quantum phenomena this investigation can provide some theoretical
support to experimental proposals for measuring gravity-induced entanglement
and the quantum nature of perturbative gravity. In the first part we consider
cat states generated by double-well potentials. Approximated as two-level
systems, a pair of gravcats is characterized by gravity-induced Rabi
oscillations, and by gravity-induced entanglement of its energy eigenstates. In
the second part we turn to a (non-relativistic) quantum field theory
description and derive a gravitational Gross-Pitaevsky equation for gravcats
formed in BECs. Using a mathematical analogy to quantum rotors, we explore the
properties of the two-gravcat system for BECs, its physical consequences and
observational possibilities. Finally we discuss our results in comparison to
predictions of alternative quantum theories, and we explain their implications.
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