Floquet-engineered Emergent Massive Nambu-Goldstone Modes

Fuente: arXiv
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Auteurs principaux: Hou, Yang, Fu, Zhanpeng, Moessner, Roderich, Bukov, Marin, Zhao, Hongzheng
Format: Preprint
Publié: 2024
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author Hou, Yang
Fu, Zhanpeng
Moessner, Roderich
Bukov, Marin
Zhao, Hongzheng
author_facet Hou, Yang
Fu, Zhanpeng
Moessner, Roderich
Bukov, Marin
Zhao, Hongzheng
contents We present a general framework to implement massive Nambu-Goldstone quasi-particles in driven many-body systems. The underlying mechanism leverages an explicit Lie group structure imprinted into an effective Hamiltonian that governs the dynamics of slow degrees of freedom; the resulting emergent continuous symmetry is weakly explicitly broken, giving rise to a massive Nambu-Goldstone mode, with a spectral mass gap scaling linearly with the drive period. We discuss explicit and experimentally implementable realizations, such as Heisenberg-like spin models that support gapped spin-wave excitations. We provide a protocol to certify the existence of the massive Nambu-Goldstone mode from the dynamics of specific observables, and analyse the dispersion spectrum and their lifetime in the presence of weak explicit symmetry breaking.
format Preprint
id arxiv_https___arxiv_org_abs_2409_01902
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Floquet-engineered Emergent Massive Nambu-Goldstone Modes
Hou, Yang
Fu, Zhanpeng
Moessner, Roderich
Bukov, Marin
Zhao, Hongzheng
Quantum Physics
Quantum Gases
Statistical Mechanics
We present a general framework to implement massive Nambu-Goldstone quasi-particles in driven many-body systems. The underlying mechanism leverages an explicit Lie group structure imprinted into an effective Hamiltonian that governs the dynamics of slow degrees of freedom; the resulting emergent continuous symmetry is weakly explicitly broken, giving rise to a massive Nambu-Goldstone mode, with a spectral mass gap scaling linearly with the drive period. We discuss explicit and experimentally implementable realizations, such as Heisenberg-like spin models that support gapped spin-wave excitations. We provide a protocol to certify the existence of the massive Nambu-Goldstone mode from the dynamics of specific observables, and analyse the dispersion spectrum and their lifetime in the presence of weak explicit symmetry breaking.
title Floquet-engineered Emergent Massive Nambu-Goldstone Modes
topic Quantum Physics
Quantum Gases
Statistical Mechanics
url https://arxiv.org/abs/2409.01902