Quench spectroscopy for Lieb-Liniger bosons in the presence of harmonic trap

Fuente: arXiv
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Autori principali: Yu, Jiachen, Hu, Yuanzhe, Chen, Wenhan, Yang, Jianing, Chen, Xuzong, Yao, Hepeng
Natura: Preprint
Pubblicazione: 2025
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author Yu, Jiachen
Hu, Yuanzhe
Chen, Wenhan
Yang, Jianing
Chen, Xuzong
Yao, Hepeng
author_facet Yu, Jiachen
Hu, Yuanzhe
Chen, Wenhan
Yang, Jianing
Chen, Xuzong
Yao, Hepeng
contents Quench spectroscopy has emerged as a novel and powerful technique for probing the energy spectrum of various quantum phases for quantum systems from out-of-equilibrium dynamics. While its efficacy has been demonstrated in the homogeneous systems theoretically, most experimental setups feature a confining potential, such as a harmonic trap, which complicates the practical implementations. In this work, we experimentally probe the quench spectroscopy for one-dimensional bosons in optical lattices with the presence of a harmonic trap, and comparing our results with the density matrix renormalization group simulation. For the Mott insulator phase, although a gap is still observed, the band signal is broadened along the frequency space and cut at the half Brillouin zone, which can be explained by the nearest-neighbor tunneling excitations under harmonic confinement. Comparing with the superfluid spectrum, we can see a clear distinction between the two phases and find the inverse quench with larger amplitude yields the clearest spectrum. Our work offers pivotal insights into conducting quench spectroscopy effectively in practical systems.
format Preprint
id arxiv_https___arxiv_org_abs_2507_07699
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quench spectroscopy for Lieb-Liniger bosons in the presence of harmonic trap
Yu, Jiachen
Hu, Yuanzhe
Chen, Wenhan
Yang, Jianing
Chen, Xuzong
Yao, Hepeng
Quantum Gases
Quench spectroscopy has emerged as a novel and powerful technique for probing the energy spectrum of various quantum phases for quantum systems from out-of-equilibrium dynamics. While its efficacy has been demonstrated in the homogeneous systems theoretically, most experimental setups feature a confining potential, such as a harmonic trap, which complicates the practical implementations. In this work, we experimentally probe the quench spectroscopy for one-dimensional bosons in optical lattices with the presence of a harmonic trap, and comparing our results with the density matrix renormalization group simulation. For the Mott insulator phase, although a gap is still observed, the band signal is broadened along the frequency space and cut at the half Brillouin zone, which can be explained by the nearest-neighbor tunneling excitations under harmonic confinement. Comparing with the superfluid spectrum, we can see a clear distinction between the two phases and find the inverse quench with larger amplitude yields the clearest spectrum. Our work offers pivotal insights into conducting quench spectroscopy effectively in practical systems.
title Quench spectroscopy for Lieb-Liniger bosons in the presence of harmonic trap
topic Quantum Gases
url https://arxiv.org/abs/2507.07699