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Confinement of small-gapped fractional quantum Hall states facilitates quasiparticle manipulation and is an important step towards quasiparticle interference measurements. Demonstrated here is conduction through top gate defined, narrow…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. L. Willett , M. J. Manfra , L. N. Pfeiffer , K. W. West

The fractional quantum Hall (FQH) effect is one of the most striking phenomena in condensed matter physics. It is described by a simple Laughlin wavefunction and has been thoroughly studied both theoretically and experimentally. In lattice…

Strongly Correlated Electrons · Physics 2014-03-07 Anne E. B. Nielsen , German Sierra , J. Ignacio Cirac

We consider the effect of contact interaction in a prototypical quantum spin Hall system of pseudo-spin-1/2 particles. A strong effective magnetic field with opposite directions for the two spin states restricts two-dimensional particle…

Quantum Gases · Physics 2014-02-18 O. Fialko , J. Brand , U. Zuelicke

We demonstrate high fidelity entangling quantum gates within a chain of five trapped ion qubits by optimally shaping optical fields that couple to multiple collective modes of motion. We individually address qubits with segmented optical…

Quantum Physics · Physics 2014-05-20 T. Choi , S. Debnath , T. A. Manning , C. Figgatt , Z. -X. Gong , L. -M. Duan , C. Monroe

Split-gate constrictions can be used to produce controllable scattering in a fractional quantum Hall state and constitute a very versatile model system for the investigation of non-Fermi physics in edge states. Controllable inter-edge…

Mesoscale and Nanoscale Physics · Physics 2009-03-24 Stefano Roddaro , Vittorio Pellegrini , Fabio Beltram

We study the quantum Hall states that appear in the dilute limit of rotating ultracold fermionic gases when a single hyperfine species is present. We show that the p-wave scattering translates into a pure hard-core interaction in the lowest…

Other Condensed Matter · Physics 2009-11-10 Thierry Jolicoeur , Nicolas Regnault

Existing techniques for synthesizing gauge fields are able to bring a two-dimensional cloud of harmonically trapped bosonic atoms into a regime where the occupied single-particle states are restricted to the lowest Landau level (LLL).…

Quantum Gases · Physics 2012-12-04 Tobias Graß , Bruno Juliá-Díaz , Maciej Lewenstein

Considerable efforts are currently devoted to the preparation of ultracold neutral atoms in the emblematic strongly correlated quantum Hall regime. The routes followed so far essentially rely on thermodynamics, i.e. imposing the proper…

Quantum Gases · Physics 2012-08-31 Marco Roncaglia , Matteo Rizzi , Jean Dalibard

It has recently been pointed out that phases of matter with intrinsic topological order, like the fractional quantum Hall states, have an extra dynamical degree of freedom that corresponds to quantum geometry. Here we perform extensive…

Strongly Correlated Electrons · Physics 2016-02-17 Sonika Johri , Z. Papic , P. Schmitteckert , R. N. Bhatt , F. D. M. Haldane

We describe the phase diagram and thermodynamic properties of a chain of axially-tunnel-coupled fractional quantum Hall systems realized by rotating a series of optical dipole traps about their center. We demonstrate not only a…

Quantum Gases · Physics 2016-09-09 Jianshi Zhao , Louis Rene Jacome , Craig Price , Nathan Gemelke

Motivated by the recent experimental realization of a two-particle fractional quantum Hall state of ultracold atoms in a small optical lattice [Nature 619, 495 (2023)], we propose a minimal setup to create and observe a quasihole in such a…

Quantum Gases · Physics 2024-01-08 R. O. Umucalilar

We briefly summarize properties of quantum Hall states with a pairing or clustering property. Their study employs a fundamental connection with parafermionic Conformal Field Theories. We report on closed form expressions for the many-body…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Schoutens , E. Ardonne , F. J. M. van Lankvelt

We investigate the 2D weakly interacting Bose-Einstein condensate in a rotating trap by the tools of quantum information theory. The critical exponents of the ground state fidelity susceptibility and the correlation length of the system are…

Quantum Gases · Physics 2009-12-04 Zhao Liu , Hongli Guo , Shu Chen , Heng Fan

Recent progress in nanoscale quantum optics and superconducting qubits has made the creation of strongly correlated, and even topologically ordered, states of photons a real possibility. Many of these states are gapped and exhibit anyon…

Mesoscale and Nanoscale Physics · Physics 2014-09-10 Eliot Kapit , Mohammad Hafezi , Steven H. Simon

A method of storing and retrieving quantum states of radiation fields using the ground-state coherences is discussed. We demonstrate the generation of multiparticle entangled states starting from atoms prepared in a coherent state. Use is…

Quantum Physics · Physics 2007-05-23 G. S. Agarwal , P. Lougovski , H. Walther

Cluster states are a useful resource in quantum computation, and can be generated by applying entangling gates between next-neighbor qubits. Heralded entangling gates offer the advantage of high post-selected fidelity, and can be used to…

Quantum Physics · Physics 2025-07-29 Luke M. Stewart , Gefen Baranes , Joshua Ramette , Josiah Sinclair , Vladan Vuletić

Quantum optical cluster states have been increasingly explored, in the light of their importance for measurement-based quantum computing. Here we set forth a new method for generating quantum controlled cluster states: pumping an optical…

Quantum Physics · Physics 2021-09-29 R. F. Barros , G. B. Alves , O. Pfister , A. Z. Khoury

We perform variational Monte-Carlo calculations to show that bosons in a rotating optical lattice will form analogs of fractional quantum Hall states when the tunneling is sufficiently weak compared to the interactions and the deviation of…

Quantum Gases · Physics 2015-05-18 R. O. Umucalilar , Erich J. Mueller

The single-particle spectral function for an incompressible fractional quantum Hall state in the presence of a scalar short-ranged attractive impurity potential is calculated via exact diagonalization within the spherical geometry. In…

Strongly Correlated Electrons · Physics 2015-06-17 Kelly R. Patton , Michael R. Geller

We consider spin-polarized electrons in a single Landau level on a cylinder as the circumference of the cylinder goes to infinity. This gives a model of interacting electrons on a circle where the momenta of the particles are restricted and…

Mesoscale and Nanoscale Physics · Physics 2009-04-21 E. J. Bergholtz , A. Karlhede