Simulation of higher-order topological phases in 2D spin-phononic crystal networks

• URL: http://arxiv.org/abs/2004.08049v1
• Date: Fri, 17 Apr 2020 03:24:53 GMT
• Title: Simulation of higher-order topological phases in 2D spin-phononic crystal networks
• Authors: Xiao-Xiao Li and Peng-Bo Li
• Abstract summary: We propose and analyse an efficient scheme for simulating higher-order topological phases of matter in two dimensional (2D) spin-phononic crystal networks. We show that, through a specially designed periodic driving, one can selectively control and enhance the bipartite silicon-vacancy (SiV) center arrays. In momentum space, we analyze and simulate the topological nontrivial properties of the one- and two-dimensional system.
• Score: 15.41200827860072
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose and analyse an efficient scheme for simulating higher-order topological phases of matter in two dimensional (2D) spin-phononic crystal networks. We show that, through a specially designed periodic driving, one can selectively control and enhance the bipartite silicon-vacancy (SiV) center arrays, so as to obtain the chiral symmetry-protected spin-spin couplings. More importantly, the Floquet engineering spin-spin interactions support rich quantum phases associated with topological invariants. In momentum space, we analyze and simulate the topological nontrivial properties of the one- and two-dimensional system, and show that higher-order topological phases can be achieved under the appropriate periodic driving parameters. As an application in quantum information processing, we study the robust quantum state transfer via topologically protected edge states. This work opens up new prospects for studying quantum acoustic, and offers an experimentally feasible platform for the study of higher-order topological phases of matter.

Related papers

• Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
  We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution. We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions. We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
  arXiv  Detail & Related papers  (2024-05-27T17:40:39Z)
• Realizing topological quantum magnets with atomic spins on surfaces [6.884621917906393]
  We demonstrate topological quantum Heisenberg spin lattices, engineered with spin chains and two-dimensional spin arrays in a scanning tunnelling microscope (STM) Our results provide an important bottom-up approach to simulating exotic quantum many-body phases of interacting spins.
  arXiv  Detail & Related papers  (2024-03-21T05:41:20Z)
• Observing Topological Insulator Phases with a Programmable Quantum Simulator [5.118772741438762]
  Topological insulators exhibit fascinating properties such as the appearance of edge states protected by symmetries. We experimentally implement a modified SSH model with long-range interacting spin systems in one-dimensional trapped ion crystals of up to $22$ spins.
  arXiv  Detail & Related papers  (2024-01-18T20:10:28Z)
• Topological quantum phase transitions in 2D isometric tensor networks [4.189204855014776]
  We introduce a procedure to construct isoTNS-solvable models in 2D. We illustrate this by constructing an isoTNS path with bond dimension $D = 2$ interpolating between distinct symmetry-enriched topological phases. We provide an exact linear-depth parametrized local quantum circuit that realizes the path and therefore it can be efficiently realized on a programmable quantum device.
  arXiv  Detail & Related papers  (2023-12-08T15:01:44Z)
• Higher-order topological Peierls insulator in a two-dimensional atom-cavity system [58.720142291102135]
  We show how photon-mediated interactions give rise to a plaquette-ordered bond pattern in the atomic ground state. The pattern opens a non-trivial topological gap in 2D, resulting in a higher-order topological phase hosting corner states. Our work shows how atomic quantum simulators can be harnessed to investigate novel strongly-correlated topological phenomena.
  arXiv  Detail & Related papers  (2023-05-05T10:25:14Z)
• 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)
• Phase diagram of Rydberg-dressed atoms on two-leg square ladders: Coupling supersymmetric conformal field theories on the lattice [52.77024349608834]
  We investigate the phase diagram of hard-core bosons in two-leg ladders in the presence of soft-shoulder potentials. We show how the competition between local and non-local terms gives rise to a phase diagram with liquid phases with dominant cluster, spin, and density-wave quasi-long-range ordering.
  arXiv  Detail & Related papers  (2021-12-20T09:46:08Z)
• Realizing symmetry-protected topological phases in a spin-1/2 chain with next-nearest neighbor hopping on superconducting qubits [0.0]
  We report the realization of symmetry-protected topological phases of a spin-1/2 Hamiltonian with next-nearest-neighbor hopping on up to 11 qubits. Our work advances ongoing efforts to realize novel states of matter with exotic interactions on digital near-term quantum computers.
  arXiv  Detail & Related papers  (2021-12-20T04:40:41Z)
• Enhancement of quantum correlations and geometric phase for a driven bipartite quantum system in a structured environment [77.34726150561087]
  We study the role of driving in an initial maximally entangled state evolving under a structured environment. This knowledge can aid the search for physical setups that best retain quantum properties under dissipative dynamics.
  arXiv  Detail & Related papers  (2021-03-18T21:11:37Z)
• Exploring 2D synthetic quantum Hall physics with a quasi-periodically driven qubit [58.720142291102135]
  Quasi-periodically driven quantum systems are predicted to exhibit quantized topological properties. We experimentally study a synthetic quantum Hall effect with a two-tone drive.
  arXiv  Detail & Related papers  (2020-04-07T15:00:41Z)
• Simulation of topological phases with color center arrays in phononic crystals [16.924643379960827]
  We propose an efficient scheme for simulating the topological phases of matter based on silicon-vacancy (SiV) center arrays in phononic crystals. Under a particular periodic microwave driving, the band-gap mediated spin-spin interaction can be further designed with the form of the Su-Schrieffer-Heeger (SSH) Hamiltonian. In momentum space, we investigate the topological characters of the SSH model, and show that the topological nontrivial phase can be obtained through modulating the periodic driving fields.
  arXiv  Detail & Related papers  (2020-01-06T04:59:53Z)

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.