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19922026
most citedUltracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories

381 citations · 3.1k across the 65 of their papers we have counts for

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quant-ph2026

String dynamics of a (2+1)D U(1) quantum link model on a digital quantum computer

Anthony Gandon, Alessandro Mariani, Debasish Banerjee +5

The (2+1)D U(1) pure gauge theory always exists in the confining phase, with strings of non-zero string tension giving a characteristic linear potential between static charges. Thi…

quant-ph2014★ 128 cited

Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits

D. Marcos, P. Widmer, E. Rico +4

A quantum simulator of U(1) lattice gauge theories can be implemented with superconducting circuits. This allows the investigation of confined and deconfined phases in quantum link…

quant-ph2013★ 381 cited

Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories

U. -J. Wiese

Abelian and non-Abelian gauge theories are of central importance in many areas of physics. In condensed matter physics, Abelian U(1) lattice gauge theories arise in the description…

quant-ph2012★ 28 cited

Self-adjoint Extensions for Confined Electrons:from a Particle in a Spherical Cavity to the Hydrogen Atom in a Sphere and on a Cone

M. H. Al-Hashimi, U. -J. Wiese

In a recent study of the self-adjoint extensions of the Hamiltonian of a particle confined to a finite region of space, in which we generalized the Heisenberg uncertainty relation…

quant-ph2011★ 40 cited

From a Particle in a Box to the Uncertainty Relation in a Quantum Dot and to Reflecting Walls for Relativistic Fermions

M. H. Al-Hashimi, U. -J. Wiese

We consider a 1-parameter family of self-adjoint extensions of the Hamiltonian for a particle confined to a finite interval with perfectly reflecting boundary conditions. In some c…

quant-ph2008★ 124 cited

Discrete Accidental Symmetry for a Particle in a Constant Magnetic Field on a Torus

M. H. Al-Hashimi, U. -J. Wiese

A classical particle in a constant magnetic field undergoes cyclotron motion on a circular orbit. At the quantum level, the fact that all classical orbits are closed gives rise to…

quant-ph2007★ 13 cited

Runge-Lenz Vector, Accidental SU(2) Symmetry, and Unusual Multiplets for Motion on a Cone

M. H. Al-Hashimi, U. -J. Wiese

We consider a particle moving on a cone and bound to its tip by or harmonic oscillator potentials. When the deficit angle of the cone divided by is a rational number, a…