Dissipative analog of four-dimensional quantum Hall physics
- URL: http://arxiv.org/abs/2003.11042v2
- Date: Fri, 19 Jun 2020 15:44:02 GMT
- Title: Dissipative analog of four-dimensional quantum Hall physics
- Authors: Fanny Terrier, Flore K. Kunst
- Abstract summary: We study a QH system which features a nontrivial configuration of three-dimensional Weyl cones on its boundaries.
We propose a three-dimensional analog of this model in the form of a dissipative Weyl semimetal.
We find exceptional points with an order that scales with system size.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Four-dimensional quantum Hall (QH) models usually rely on synthetic
dimensions for their simulation in experiment. Here, we study a QH system which
features a nontrivial configuration of three-dimensional Weyl cones on its
boundaries. We propose a three-dimensional analog of this model in the form of
a dissipative Weyl semimetal (WSM) described by a non-Hermitian (NH)
Hamiltonian, which in the long-time limit manifests the anomalous boundary
physics of the four-dimensional QH model in the bulk spectrum. The topology of
the NH WSM is captured by a three-dimensional winding number whose value is
directly related to the total chirality of the surviving Weyl nodes. Upon
taking open boundary conditions, instead of Fermi arcs, we find exceptional
points with an order that scales with system size.
Related papers
- Third quantization with Hartree approximation for open-system bosonic transport [49.1574468325115]
We present a self-consistent formalism for solving the open-system bosonic Lindblad equation with weak interactions in the steady state.
The method allows us to characterize and predict large-system behavior of quantum transport in interacting bosonic systems relevant to cold-atom experiments.
arXiv Detail & Related papers (2024-08-23T15:50:48Z) - Simulating the Femtouniverse on a Quantum Computer [0.0]
We compute the low-lying spectrum of 4D SU(2) Yang-Mills in a finite volume using quantum simulations.
In this limit the theory is equivalent to the quantum mechanics of three interacting particles moving inside a 3-ball with certain boundary conditions.
arXiv Detail & Related papers (2022-11-20T05:09:01Z) - Quantum simulator of link models using spinor dipolar ultracold atoms [0.0]
Scheme for the quantum simulation of quantum link models in two-dimensional lattices is presented.
We derivation the parameters of the quantum link models by means of two different approaches.
The extension to three-dimensional lattices is presented, and its subtleties are pointed out.
arXiv Detail & Related papers (2022-10-26T16:36:05Z) - Realization of an atomic quantum Hall system in four dimensions [3.713193140918009]
We report the realization of an atomic quantum Hall system evolving in four dimensions (4D) with two spatial dimensions and two synthetic ones encoded in the large spin of dysprosium atoms.
Our work opens to the investigation of strongly-correlated topological liquids in 4D generalizing fractional quantum Hall states.
arXiv Detail & Related papers (2022-10-12T15:41:45Z) - Penrose dodecahedron, Witting configuration and quantum entanglement [55.2480439325792]
A model with two entangled spin-3/2 particles based on geometry of dodecahedron was suggested by Roger Penrose.
The model was later reformulated using so-called Witting configuration with 40 rays in 4D Hilbert space.
Two entangled systems with quantum states described by Witting configurations are discussed in presented work.
arXiv Detail & Related papers (2022-08-29T14:46:44Z) - Neural-Network Quantum States for Periodic Systems in Continuous Space [66.03977113919439]
We introduce a family of neural quantum states for the simulation of strongly interacting systems in the presence of periodicity.
For one-dimensional systems we find very precise estimations of the ground-state energies and the radial distribution functions of the particles.
In two dimensions we obtain good estimations of the ground-state energies, comparable to results obtained from more conventional methods.
arXiv Detail & Related papers (2021-12-22T15:27:30Z) - Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems [0.0]
Non-Hermtian (NH) Hamiltonians have become an important tool with applications ranging from classical meta-materials to quantum many-body systems.
Exceptional points, the NH counterpart of spectral degeneracies, are among the paramount phenomena unique to the NH realm.
We propose a microscopic model of correlated fermions in three spatial dimensions and demonstrate the occurrence of interaction-induced fourth-order exceptional points.
arXiv Detail & Related papers (2021-06-22T18:00:06Z) - Quantum-Ising Hamiltonian programming in trio, quartet, and sextet qubit
systems [0.755972004983746]
Rydberg-atom quantum simulators are of keen interest because of their possibilities towards high-dimensional qubit architectures.
Here we report three-dimensional spectra of quantum-Ising Hamiltonian systems with programmed qubit connections.
arXiv Detail & Related papers (2020-09-11T09:50:41Z) - 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) - State preparation and measurement in a quantum simulation of the O(3)
sigma model [65.01359242860215]
We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site.
We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes.
We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
arXiv Detail & Related papers (2020-06-28T23:44:12Z) - 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.