Quantum scar affecting the motion of three interacting particles in a circular trap

• URL: http://arxiv.org/abs/2210.00475v2
• Date: Sat, 22 Oct 2022 16:41:33 GMT
• Title: Quantum scar affecting the motion of three interacting particles in a circular trap
• Authors: D. J. Papoular and B. Zumer
• Abstract summary: We numerically calculate the quantum eigenstates of the system and show that some of them are scarred by a classically unstable periodic trajectory. Unlike the many-body scars demonstrated experimentally up to now, whose classical analogs do not thermalize, the scar we consider is stabilized by quantum mechanics.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We theoretically propose a novel quantum scar affecting the motion of three interacting particles in a circular trap. We numerically calculate the quantum eigenstates of the system and show that some of them are scarred by a classically unstable periodic trajectory, in the vicinity of which the classical analog exhibits chaos. Unlike the many-body scars demonstrated experimentally up to now, whose classical analogs do not thermalize, the scar we consider is stabilized by quantum mechanics, so that it bridges the gap between the original quantum scarring mechanism [Heller, Phys. Rev. Lett. 53, 1515 (1984)] and the many-body scars currently under experimental investigation in various laboratories. We identify towers of scarred quantum states, which are a key signature of many-body scarring. We fully explain these towers in terms of the classical trajectory underlying the scar. Our proposal is within experimental reach owing to very recent advances in Rydberg atom trapping.

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