Simulating dynamical phases of chiral $p+ i p$ superconductors with a trapped ion magnet

• URL: http://arxiv.org/abs/2204.05671v3
• Date: Tue, 7 Jun 2022 19:21:33 GMT
• Title: Simulating dynamical phases of chiral $p+ i p$ superconductors with a trapped ion magnet
• Authors: Athreya Shankar, Emil A. Yuzbashyan, Victor Gurarie, Peter Zoller, John J. Bollinger and Ana Maria Rey
• Abstract summary: Two-dimensional $p+ i p$ superconductors and superfluids are systems that feature chiral behavior emerging from the Cooper pairing of electrons or neutral fermionic atoms with non-zero angular momentum. Here, we propose to leverage the tremendous control offered by rotating two-dimensional trapped-ion crystals in a Penning trap to simulate the dynamical phases of two-dimensional $p+ip$ superfluids. This is accomplished by mapping the presence or absence of a Cooper pair into an effective spin-1/2 system encoded in the ions' electronic levels.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Two-dimensional $p+ i p$ superconductors and superfluids are systems that feature chiral behavior emerging from the Cooper pairing of electrons or neutral fermionic atoms with non-zero angular momentum. Their realization has been a longstanding goal because they offer great potential utility for quantum computation and memory. However, they have so far eluded experimental observation both in solid state systems as well as in ultracold quantum gases. Here, we propose to leverage the tremendous control offered by rotating two-dimensional trapped-ion crystals in a Penning trap to simulate the dynamical phases of two-dimensional $p+ip$ superfluids. This is accomplished by mapping the presence or absence of a Cooper pair into an effective spin-1/2 system encoded in the ions' electronic levels. We show how to infer the topological properties of the dynamical phases, and discuss the role of beyond mean-field corrections. More broadly, our work opens the door to use trapped ion systems to explore exotic models of topological superconductivity and also paves the way to generate and manipulate skyrmionic spin textures in these platforms.

Related papers

• Synthetic $π$-flux system in 2D superconducting qubit array with tunable coupling [14.808613294313902]
  We present the experimental realization of a $pi$-flux rhombic system using a two-dimensional superconducting qubit array with tunable coupling. Our results provide future possibilities for exploring the interplay of geometry, interactions, and quantum information encoding in such degenerate systems.
  arXiv  Detail & Related papers  (2025-01-12T07:56:04Z)
• Local control and mixed dimensions: Exploring high-temperature superconductivity in optical lattices [0.8453109131640921]
  Local control and optical bilayer capabilities combined with spatially resolved measurements create a versatile toolbox. We show how coherent pairing correlations can be accessed in a partially particle-hole transformed and rotated basis. Finally, we introduce a scheme to measure momentum-resolved dopant densities, providing access to observables complementary to solid-state experiments.
  arXiv  Detail & Related papers  (2024-06-04T17:59:45Z)
• 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)
• 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)
• Observing dynamical phases of BCS superconductors in a cavity QED simulator [0.0]
  In conventional superconductors, electrons with opposite momenta bind into Cooper pairs due to an attractive interaction mediated by phonons in the material. Superconductivity naturally emerges at thermal equilibrium, but can also emerge out of equilibrium when the system's parameters are abruptly changed. Here we realize an alternate way to generate the proposed dynamical phases using cavity quantum electrodynamics.
  arXiv  Detail & Related papers  (2023-05-31T18:00:03Z)
• 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)
• Ergodicity Breaking Under Confinement in Cold-Atom Quantum Simulators [1.3367376307273382]
  We consider the spin-$1/2$ quantum link formulation of $1+1$D quantum electrodynamics with a topological $theta$-angle. We show an interplay between confinement and the ergodicity-breaking paradigms of quantum many-body scarring and Hilbert-space fragmentation.
  arXiv  Detail & Related papers  (2023-01-18T19:00:01Z)
• Spin Current Density Functional Theory of the Quantum Spin-Hall Phase [59.50307752165016]
  We apply the spin current density functional theory to the quantum spin-Hall phase. We show that the explicit account of spin currents in the electron-electron potential of the SCDFT is key to the appearance of a Dirac cone.
  arXiv  Detail & Related papers  (2022-08-29T20:46:26Z)
• Visualizing spinon Fermi surfaces with time-dependent spectroscopy [62.997667081978825]
  We propose applying time-dependent photo-emission spectroscopy, an established tool in solid state systems, in cold atom quantum simulators. We show in exact diagonalization simulations of the one-dimensional $t-J$ model that the spinons start to populate previously unoccupied states in an effective band structure. The dependence of the spectral function on the time after the pump pulse reveals collective interactions among spinons.
  arXiv  Detail & Related papers  (2021-05-27T18:00:02Z)
• Electrically tuned hyperfine spectrum in neutral Tb(II)(Cp$^{\rm{iPr5}}$)$_2$ single-molecule magnet [64.10537606150362]
  Both molecular electronic and nuclear spin levels can be used as qubits. In solid state systems with dopants, an electric field was shown to effectively change the spacing between the nuclear spin qubit levels. This hyperfine Stark effect may be useful for applications of molecular nuclear spins for quantum computing.
  arXiv  Detail & Related papers  (2020-07-31T01:48:57Z)
• Entanglement generation via power-of-SWAP operations between dynamic electron-spin qubits [62.997667081978825]
  Surface acoustic waves (SAWs) can create moving quantum dots in piezoelectric materials. We show how electron-spin qubits located on dynamic quantum dots can be entangled.
  arXiv  Detail & Related papers  (2020-01-15T19:00:01Z)

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.