Simulation of time crystal behavior for a few boson chiral soliton model in a ring

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Bibliographische Detailangaben
Hauptverfasser:	Öhberg, Patrik, Wright, Ewan M
Format:	Preprint
Veröffentlicht:	2024
Schlagworte:	Quantum Gases
Online-Zugang:	Acceder al recurso
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author	Öhberg, Patrik Wright, Ewan M
author_facet	Öhberg, Patrik Wright, Ewan M
contents	We present numerical simulations for a chiral soliton model with N=2,3 bosons in a ring, this being a few-particle version of our previous mean-field model for a quantum time crystal. Following Syrwid, Kosior, and Sacha (SKS), the notion is that a precise position measurement of one particle can lead to spontaneous formation of a bright soliton that in a time crystal should rotate intact for at least a few revolutions around the ring. In their work SKS find spontaneous formation of a soliton due to the position measurement, but quantum fluctuations cause the soliton to subsequently decay before it has a chance to perform even one revolution of the ring. Based on this they conclude that time crystal dynamics are impossible. In contrast, for our few boson chiral soliton model, and allowing for imprecise (weak) measurements of the particle position, we show that time crystal behavior is possible allowing for several revolutions of the spontaneously formed soliton around the ring. We therefore argue that our chiral soliton model can realize a quantum time crystal when weak position measurements are allowed for.
format	Preprint
id	arxiv_https___arxiv_org_abs_2401_04843
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Simulation of time crystal behavior for a few boson chiral soliton model in a ring Öhberg, Patrik Wright, Ewan M Quantum Gases We present numerical simulations for a chiral soliton model with N=2,3 bosons in a ring, this being a few-particle version of our previous mean-field model for a quantum time crystal. Following Syrwid, Kosior, and Sacha (SKS), the notion is that a precise position measurement of one particle can lead to spontaneous formation of a bright soliton that in a time crystal should rotate intact for at least a few revolutions around the ring. In their work SKS find spontaneous formation of a soliton due to the position measurement, but quantum fluctuations cause the soliton to subsequently decay before it has a chance to perform even one revolution of the ring. Based on this they conclude that time crystal dynamics are impossible. In contrast, for our few boson chiral soliton model, and allowing for imprecise (weak) measurements of the particle position, we show that time crystal behavior is possible allowing for several revolutions of the spontaneously formed soliton around the ring. We therefore argue that our chiral soliton model can realize a quantum time crystal when weak position measurements are allowed for.
title	Simulation of time crystal behavior for a few boson chiral soliton model in a ring
topic	Quantum Gases
url	https://arxiv.org/abs/2401.04843

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