Meson Mass Sets Onset Time of Anomalous Dynamical Quantum Phase Transitions

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Hauptverfasser: Osborne, Jesse J., Knaute, Johannes, McCulloch, Ian P., Halimeh, Jad C.
Format: Preprint
Veröffentlicht: 2024
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author Osborne, Jesse J.
Knaute, Johannes
McCulloch, Ian P.
Halimeh, Jad C.
author_facet Osborne, Jesse J.
Knaute, Johannes
McCulloch, Ian P.
Halimeh, Jad C.
contents Dynamical quantum phase transitions (DQPTs) have been established as a rigorous framework for investigating far-from-equilibrium quantum many-body criticality. Although initially thought to be trivially connected to an order parameter flipping sign, a certain kind of \textit{anomalous} DQPTs have been discovered that exhibit no direct connection to the order parameter and have been shown to arise in the presence of confinement. Here, we show in two paradigmatic models how the onset time of anomalous DQPTs is directly connected, through a power law, to the meson mass in the confined regime of a global symmetry-broken phase. This relation becomes more prominent the closer the initial parameters are to the equilibrium quantum critical point, where a relativistic quantum field theory emerges. Our findings draw a direct connection between mesons and anomalous DQPTs, highlighting the power of the latter to classify exotic far-from-equilibrium criticality.
format Preprint
id arxiv_https___arxiv_org_abs_2407_03394
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Meson Mass Sets Onset Time of Anomalous Dynamical Quantum Phase Transitions
Osborne, Jesse J.
Knaute, Johannes
McCulloch, Ian P.
Halimeh, Jad C.
Quantum Gases
Statistical Mechanics
Strongly Correlated Electrons
High Energy Physics - Lattice
Quantum Physics
Dynamical quantum phase transitions (DQPTs) have been established as a rigorous framework for investigating far-from-equilibrium quantum many-body criticality. Although initially thought to be trivially connected to an order parameter flipping sign, a certain kind of \textit{anomalous} DQPTs have been discovered that exhibit no direct connection to the order parameter and have been shown to arise in the presence of confinement. Here, we show in two paradigmatic models how the onset time of anomalous DQPTs is directly connected, through a power law, to the meson mass in the confined regime of a global symmetry-broken phase. This relation becomes more prominent the closer the initial parameters are to the equilibrium quantum critical point, where a relativistic quantum field theory emerges. Our findings draw a direct connection between mesons and anomalous DQPTs, highlighting the power of the latter to classify exotic far-from-equilibrium criticality.
title Meson Mass Sets Onset Time of Anomalous Dynamical Quantum Phase Transitions
topic Quantum Gases
Statistical Mechanics
Strongly Correlated Electrons
High Energy Physics - Lattice
Quantum Physics
url https://arxiv.org/abs/2407.03394