Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with Next-to-Nearest-Neighbour interactions

• URL: http://arxiv.org/abs/2006.09936v2
• Date: Fri, 25 Sep 2020 15:08:50 GMT
• Title: Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with Next-to-Nearest-Neighbour interactions
• Authors: Felippo M. D'Angelis, Felipe A. Pinheiro, David Gu\'ery-Odelin, Stefano Longhi, Fran\c{c}ois Impens
• Abstract summary: We suggest a method for fast and robust quantum-state transfer in a Su-Schrieffer-Heeger chain. The proposed quantum protocol combines a rapid change in one of the topological edge states, induced by a modulation of nearest-neighbour interactions. We show that introducing spatial correlations in the disorder increases the robustness of the protocol, widening the range of its applicability.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We suggest a method for fast and robust quantum-state transfer in a Su-Schrieffer-Heeger (SSH) chain, which exploits the use of next-to-nearest-neighbour (NNN) interactions. The proposed quantum protocol combines a rapid change in one of the topological edge states, induced by a modulation of nearest-neighbour interactions, with a fine tuning of NNN interactions operating a counter-adiabatic driving. The latter cancels nonadiabatic excitations from the edge state multiplicity to the energy bands. We use this shortcut technique for topological pumping of edge states on a single dimerized chain and also through an interface that connects two dimerized Su-Schrieffer-Heeger chains with different topological order. We investigate the robustness of this protocol against both uncorrelated and correlated disorder, and demonstrate its strong resilience to the former in comparison to traditional adiabatic protocols for topological chains. We show that introducing spatial correlations in the disorder increases the robustness of the protocol, widening the range of its applicability.

Related papers

• Optimizing edge state transfer in a Su-Schrieffer-Heeger chain via hybrid analog-digital strategies [3.5621685463862356]
  We introduce a hybrid analog-digital protocol designed for the nonadiabatic yet high-fidelity transfer of edge states in an SSH chain. We identify the next-to-nearest-neighbor hopping terms between sublattice A sites as dominant CD driving and further optimize them by using variational quantum circuits. This analog-digital transfer protocol, an extension of quantum control methodology, establishes a robust framework for edge-state transfer.
  arXiv  Detail & Related papers  (2023-10-17T11:25:47Z)
• Controllable Operations of Edge States in Cross-One-dimensional Topological Chains [0.0]
  We develop a method to control edge states using local interactions of a four-node junction between cross-one-dimensional topological atomic chains. These junction interactions can give rise to tunable couplings between the hybridized edge states within different geometric symmetry. When the atoms are precisely positioned to couple waveguides, the correlated decay caused by the environment enables the anti-symmetric edge states to present subradiant dynamics.
  arXiv  Detail & Related papers  (2023-09-25T03:17:46Z)
• Neural-network quantum states for ultra-cold Fermi gases [49.725105678823915]
  This work introduces a novel Pfaffian-Jastrow neural-network quantum state that includes backflow transformation based on message-passing architecture. We observe the emergence of strong pairing correlations through the opposite-spin pair distribution functions. Our findings suggest that neural-network quantum states provide a promising strategy for studying ultra-cold Fermi gases.
  arXiv  Detail & Related papers  (2023-05-15T17:46:09Z)
• Fast quantum transfer mediated by topological domain walls [0.0]
  We propose transfer protocols in multidomain SSH chains and Creutz ladders that lose the exponential dependence. We also investigate how to harness the localization properties of the Creutz ladder. This provides a 1D network with all-to-all connectivity that can be helpful for quantum information purposes.
  arXiv  Detail & Related papers  (2022-08-01T12:26:11Z)
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
  Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
  arXiv  Detail & Related papers  (2022-03-31T13:32:12Z)
• Fast and robust magnon transport in a spin chain [0.0]
  We develop a protocol for fast and robust magnon transport in a one-dimensional spin chain. We show that a sharp transition exists between regions in which the protocol is effective and when it breaks down, giving rise to a speed limit for the process.
  arXiv  Detail & Related papers  (2021-01-13T10:49:14Z)
• Pretty good quantum state transfer on isotropic and anisotropic Heisenberg spin chains with tailored site dependent exchange couplings [68.8204255655161]
  We consider chains with isotropic and anisotropic Heisenberg Hamiltonian with up to 100 spins. We consider short transferred times, in particular shorter than those achievable with known time-dependent control schemes.
  arXiv  Detail & Related papers  (2021-01-08T19:32:10Z)
• Probing the coherence of solid-state qubits at avoided crossings [51.805457601192614]
  We study the quantum dynamics of paramagnetic defects interacting with a nuclear spin bath at avoided crossings. The proposed theoretical approach paves the way to designing the coherence properties of spin qubits from first principles.
  arXiv  Detail & Related papers  (2020-10-21T15:37:59Z)
• Fast and robust quantum state transfer via a topological chain [0.0]
  We propose a fast and robust quantum state transfer protocol employing a Su-Schrieffer-Heeger chain. By numerically investigating the resilience of each protocol to static noise, we highlight the robustness of the exponential driving.
  arXiv  Detail & Related papers  (2020-09-19T04:39:47Z)
• Long-range interaction in an open boundary-driven Heisenberg spin lattice: A far-from-equilibrium transition to ballistic transport [62.997667081978825]
  We study an open Heisenberg XXZ spin chain with long-range Ising-type interaction. We find that the chain lengths for this transition are increasing with decreasing range of the Ising-type interactions between distant spins. The transition can be explained by the suppression of ferromagnetic domains at the edges of the chain.
  arXiv  Detail & Related papers  (2020-04-27T12:22:50Z)
• Encircling exceptional points as a non-Hermitian extension of rapid adiabatic passage [50.591267188664666]
  We show that a suitable amount of loss to the driven Hamiltonian turns a RAP protocol into a scheme for encircling an exceptional point. Our work thus discloses an intimate connection between a whole body of literature on RAP and recent studies on the dynamics in the vicinity of an exceptional point.
  arXiv  Detail & Related papers  (2020-04-11T20:53:18Z)

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.