Related papers: Topological quantum slinky motion in resonant extended Bose-Hubbard model

Topological quantum slinky motion in resonant extended Bose-Hubbard model

URL: http://arxiv.org/abs/2410.13252v1
Date: Thu, 17 Oct 2024 06:20:09 GMT
Title: Topological quantum slinky motion in resonant extended Bose-Hubbard model
Authors: H. P. Zhang, Z. Song,
Abstract summary: We study the one-dimensional Bose-Hubbard model under the resonant condition. A series of quantum slinky oscillations occur in a two-site system for boson numbers $nin lbrack 2,infty )$.
Score: 0.0
License:
Abstract: We study the one-dimensional Bose-Hubbard model under the resonant condition, where a series of quantum slinky oscillations occur in a two-site system for boson numbers $n\in \lbrack 2,\infty )$. In the strong interaction limit, it can be shown that the quantum slinky motions become the dominant channels for boson propagation, which are described by a set of effective non-interacting Hamiltonians. They are sets of generalized Su-Schrieffer-Heeger chains with an $n$-site unit cell, referred to as trimerization, tetramerization, and pentamerization, etc., possessing non-trivial Zak phases. The corresponding edge states are demonstrated by the $n$-boson bound states at the ends of the chains. We also investigate the dynamic detection of edge boson clusters through an analysis of quench dynamics. Numerical results indicate that stable edge oscillations clearly manifest the interaction-induced topological features within the extended Bose-Hubbard model.

Related papers

Quantized Thouless pumps protected by interactions in dimerized Rydberg tweezer arrays [41.94295877935867]
In the noninteracting case, quantized Thouless pumps can only occur when a topological singularity is encircled adiabatically. In the presence of interactions, such topological transport can even persist for exotic paths in which the system gets arbitrarily close to the noninteracting singularity.
arXiv Detail & Related papers (2024-02-14T16:58:21Z)
Deconfinement Dynamics of Fractons in Tilted Bose-Hubbard Chains [0.0]
Fractonic constraints can lead to exotic properties of quantum many-body systems. We investigate the dynamics of fracton excitations on top of the ground states of a one-dimensional, dipole-conserving Bose-Hubbard model.
arXiv Detail & Related papers (2023-11-14T19:00:02Z)
Excitonic Mott insulator in a Bose-Fermi-Hubbard system of moiré $\rm{WS}_2$/$\rm{WSe}_2$ heterobilayer [1.5312601525030873]
We study the interplay between fermionic and bosonic populations using a transition metal dichalcogenides heterobilayer device. We measure exciton diffusion, which remains constant upon increasing pumping intensity, as opposed to the expected behavior of a weakly interacting gas of bosons. Our system provides a controllable approach to the exploration of quantum many-body model.
arXiv Detail & Related papers (2023-04-19T15:18:18Z)
Quantum vibrational mode in a cavity confining a massless spinor field [91.3755431537592]
We analyse the reaction of a massless (1+1)-dimensional spinor field to the harmonic motion of one cavity wall. We demonstrate that the system is able to convert bosons into fermion pairs at the lowest perturbative order.
arXiv Detail & Related papers (2022-09-12T08:21:12Z)
Understanding the propagation of excitations in quantum spin chains with different kind of interactions [68.8204255655161]
It is shown that the inhomogeneous chains are able to transfer excitations with near perfect fidelity. It is shown that both designed chains have in common a partially ordered spectrum and well localized eigenvectors.
arXiv Detail & Related papers (2021-12-31T15:09:48Z)
Chaos in the Bose-Hubbard model and random two-body Hamiltonians [6.528382036284375]
We investigate the chaotic phase of the Bose-Hubbard model in relation to the bosonic embedded random matrix ensemble. Results provide further evidence of a way to discriminate among different many-body Hamiltonians in the chaotic regime.
arXiv Detail & Related papers (2021-09-13T18:12:59Z)
Hilbert Space Fragmentation and Exact Scars of Generalized Fredkin Spin Chains [0.0]
We introduce a family of spin-$1/2$ many-body Hamiltonians with a three-site interaction. The interplay between fragmentation and scarring leads to rich tunable non-ergodic dynamics.
arXiv Detail & Related papers (2021-02-11T16:45:17Z)
$\mathbb{Z}_2$ phases and Majorana spectroscopy in paired Bose-Hubbard chains [0.0]
We investigate the Bose-Hubbard chain in the presence of nearest-neighbor pairing. We describe a possible cold-atom realization of the paired Bose-Hubbard model in a biased zig-zag optical lattice with reservoir-induced pairing.
arXiv Detail & Related papers (2020-12-04T03:20:11Z)
Unraveling the topology of dissipative quantum systems [58.720142291102135]
We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
arXiv Detail & Related papers (2020-07-12T11:26:02Z)
Models of zero-range interaction for the bosonic trimer at unitarity [91.3755431537592]
We present the construction of quantum Hamiltonians for a three-body system consisting of identical bosons mutually coupled by a two-body interaction of zero range. For a large part of the presentation, infinite scattering length will be considered.
arXiv Detail & Related papers (2020-06-03T17:54:43Z)
Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
arXiv Detail & Related papers (2020-03-24T17:31:34Z)

This list is automatically generated from the titles and abstracts of the papers in this site.