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Main Authors: Chou, Yang-Zhi, Sau, Jay D.
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2303.04158
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author Chou, Yang-Zhi
Sau, Jay D.
author_facet Chou, Yang-Zhi
Sau, Jay D.
contents We demonstrate slow dynamics and constrained motion of domain walls in one-dimensional (1D) interacting bosons with double-well dispersion. In the symmetry-broken regime, the domain-wall motion is ``fractonlike'' -- a single domain wall cannot move freely, while two nearby domain walls can move collectively. Consequently, we find an Ohmic-like linear response and a vanishing superfluid stiffness, which are atypical for a Bose condensate in a 1D translation invariant closed quantum system. Near Lifshitz quantum critical point, we obtain superfluid stiffness $ρ_s\sim T$ and sound velocity $v_s\sim T^{1/2}$, showing similar unconventional low-temperature slow dynamics to the symmetry-broken regime. Particularly, the superfluid stiffness suggests an order by disorder effect as $ρ_s$ increases with temperature. Our results pave the way for studying fractons in ultracold atom experiments.
format Preprint
id arxiv_https___arxiv_org_abs_2303_04158
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Constrained motions and slow dynamics in one-dimensional bosons with double-well dispersion
Chou, Yang-Zhi
Sau, Jay D.
Quantum Gases
Statistical Mechanics
Strongly Correlated Electrons
We demonstrate slow dynamics and constrained motion of domain walls in one-dimensional (1D) interacting bosons with double-well dispersion. In the symmetry-broken regime, the domain-wall motion is ``fractonlike'' -- a single domain wall cannot move freely, while two nearby domain walls can move collectively. Consequently, we find an Ohmic-like linear response and a vanishing superfluid stiffness, which are atypical for a Bose condensate in a 1D translation invariant closed quantum system. Near Lifshitz quantum critical point, we obtain superfluid stiffness $ρ_s\sim T$ and sound velocity $v_s\sim T^{1/2}$, showing similar unconventional low-temperature slow dynamics to the symmetry-broken regime. Particularly, the superfluid stiffness suggests an order by disorder effect as $ρ_s$ increases with temperature. Our results pave the way for studying fractons in ultracold atom experiments.
title Constrained motions and slow dynamics in one-dimensional bosons with double-well dispersion
topic Quantum Gases
Statistical Mechanics
Strongly Correlated Electrons
url https://arxiv.org/abs/2303.04158