Quantum Time Crystals and Interacting Chiral Gauge Theories in Atomic BECs III: Role of the Page-Wootters mechanism

• URL: http://arxiv.org/abs/2508.11245v2
• Date: Mon, 15 Sep 2025 08:43:05 GMT
• Title: Quantum Time Crystals and Interacting Chiral Gauge Theories in Atomic BECs III: Role of the Page-Wootters mechanism
• Authors: Patrik Öhberg, Ewan M. Wright,
• Abstract summary: We build the case that our published chiral soliton model can lead to a genuine quantum time crystal for smaller atom numbers.<n>We compare results from the chiral soliton model with exact numerical solutions for the ground state of the three-particle Schr"odinger equation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We build the case that our published chiral soliton model [Phys. Rev. Lett. 124, 250402 (2019)] can lead to a genuine quantum time crystal for smaller atom numbers. To do this we compare results from the chiral soliton model with exact numerical solutions for the ground state of the three-particle Schr\"odinger equation in the limit that the spatial profile of the soliton is largely independent of its center-of-mass motion. The connection between the two approaches is found via the Page-Wootters mechanism, and this is what allows for dynamical evolution even in the quantum ground state, as required for a genuine quantum time crystal.

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