Coexistence of extended and localized states in finite-sized mosaic
Wannier-Stark lattices
- URL: http://arxiv.org/abs/2306.10831v2
- Date: Wed, 11 Oct 2023 16:41:47 GMT
- Title: Coexistence of extended and localized states in finite-sized mosaic
Wannier-Stark lattices
- Authors: Jun Gao, Ivan M. Khaymovich, Adrian Iovan, Xiao-Wei Wang, Govind
Krishna, Ze-Sheng Xu, Emrah Tortumlu, Alexander V. Balatsky, Val Zwiller, Ali
W. Elshaari
- Abstract summary: Quantum transport and localization are fundamental concepts in condensed matter physics.
Here, we experimentally implement disorder-free mosaic photonic lattices using a silicon photonics platform.
Our studies provide the experimental proof of coexisting sets of strongly localized and conducting (though weakly localized) states in finite-sized mosaic Wannier-Stark lattices.
- Score: 38.73477976025251
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum transport and localization are fundamental concepts in condensed
matter physics. It is commonly believed that in one-dimensional systems, the
existence of mobility edges is highly dependent on disorder. Recently, there
has been a debate over the existence of an exact mobility edge in a modulated
mosaic model without quenched disorder, the so-called mosaic Wannier-Stark
lattice. Here, we experimentally implement such disorder-free mosaic photonic
lattices using a silicon photonics platform. By creating a synthetic electric
field, we could observe energy-dependent coexistence of both extended and
localized states in a finite number of waveguides. The Wannier-Stark ladder
emerges when the resulting potential is strong enough, and can be directly
probed by exciting different spatial modes of the lattice. Our studies provide
the experimental proof of coexisting sets of strongly localized and conducting
(though weakly localized) states in finite-sized mosaic Wannier-Stark lattices,
which hold the potential to encode high-dimensional quantum resources with
compact and robust structures.
Related papers
- Quantum phases of hardcore bosons with repulsive dipolar density-density interactions on two-dimensional lattices [0.0]
bosons dynamics is described by the extended-Bose-Hubbard Hamiltonian on a two-dimensional lattice.
We consider three different lattice geometries: square, honeycomb, and triangular.
Our results are of immediate relevance for experimental realisations of self-organised crystalline ordering patterns in analogue quantum simulators.
arXiv Detail & Related papers (2023-11-17T16:35:02Z) - Fractonic Luttinger Liquids and Supersolids in a Constrained
Bose-Hubbard Model [0.0]
We show the existence of a variety of exotic quantum phases in the ground states of a Bose-Hubbard model in one dimension.
For integer boson fillings, we perform a mapping of the system to a model of microscopic local dipoles, which are composites of fractons.
We apply a combination of low-energy field theory and large-scale tensor network simulations to demonstrate the emergence of a dipole Luttinger liquid phase.
arXiv Detail & Related papers (2022-10-20T07:51:20Z) - Continuum of Bound States in a Non-Hermitian Model [6.229083355999047]
In a Hermitian system, bound states must have quantized energies, whereas extended states can form a continuum.
We show how this principle fails for non-Hermitian continuous Hamiltonians with an imaginary momentum and Landau-type vector potential.
We present experimentally-realizable 1D and 2D lattice models that can be used to study CLMs.
arXiv Detail & Related papers (2022-10-06T08:09:42Z) - Single-Particle Mobility Edge without Disorder [0.0]
We analytically show that, even though the model has no quenched disorder, this system manifests an exact mobility edge.
For strong fields, the Wannier-Stark ladder is recovered and the number of localized eigenstates is inversely proportional to the spacing.
arXiv Detail & Related papers (2021-09-23T10:33:29Z) - Anomalous hydrodynamics in a class of scarred frustration-free
Hamiltonians [0.0]
We study the interplay between scarring and weak fragmentation in a class of one-dimensional spin-$1$ frustration-free projector Hamiltonians, known as deformed Motzkin chain.
We show that at high energies the particular form of the projectors causes the emergence of disjoint Krylov subspaces for open boundary conditions.
arXiv Detail & Related papers (2021-07-28T19:43:01Z) - Long-lived period-doubled edge modes of interacting and disorder-free
Floquet spin chains [68.8204255655161]
We show that even in the absence of disorder, and in the presence of bulk heating, $pi$ edge modes are long lived.
A tunneling estimate for the lifetime is obtained by mapping the stroboscopic time-evolution to dynamics of a single particle in Krylov subspace.
arXiv Detail & Related papers (2021-05-28T12:13:14Z) - Non-equilibrium stationary states of quantum non-Hermitian lattice
models [68.8204255655161]
We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner.
We focus on the quantum steady states of such models for both fermionic and bosonic systems.
arXiv Detail & Related papers (2021-03-02T18:56:44Z) - Quantum anomalous Hall phase in synthetic bilayers via twistless
twistronics [58.720142291102135]
We propose quantum simulators of "twistronic-like" physics based on ultracold atoms and syntheticdimensions.
We show that our system exhibits topologicalband structures under appropriate conditions.
arXiv Detail & Related papers (2020-08-06T19:58:05Z) - 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) - Probing chiral edge dynamics and bulk topology of a synthetic Hall
system [52.77024349608834]
Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states.
Here, we realize a quantum Hall system using ultracold dysprosium atoms, in a two-dimensional geometry formed by one spatial dimension.
We demonstrate that the large number of magnetic sublevels leads to distinct bulk and edge behaviors.
arXiv Detail & Related papers (2020-01-06T16:59:08Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.