We investigate the deformation of wavefronts of sound waves in rotating Bose-Einstein condensates. In irrational fluid flows Berry et al. identified this kind of deformation as the hydrodynamic analogue of the Aharonov-Bohm effect. We study this effect in Bose-Einstein condensates and obtain the Aharonov-Bohm phase shift at all wavelengths. We show that this deformation of wave fronts is seen in both phase and density fluctuations. For wavelengths larger than the healing length, the phase fluctuations experience a phase shift of the order of $2π$ times the winding number. We also consider lattices of vortices. If the angular momentum of the vortices are aligned, the total phase shift is $2π$ times the number of vortices in the condensate. Because of this behaviour the hydrodynamic Aharonov-Bohm can be utilized as a probe for quantum vorticity, whose experimental realization could offers an alternative route to investigate quantum turbulence in the laboratory.We investigate the deformation of wavefronts of sound waves in rotating Bose-Einstein condensates. In irrational fluid flows Berry et al. identified this kind of deformation as the hydrodynamic analogue of the Aharonov-Bohm effect. We study this effect in Bose-Einstein condensates and obtain the Aharonov-Bohm phase shift at all wavelengths. We show that this deformation of wave fronts is seen in both phase and density fluctuations. For wavelengths larger than the healing length, the phase fluctuations experience a phase shift of the order of $2π$ times the winding number. We also consider lattices of vortices. If the angular momentum of the vortices are aligned, the total phase shift is $2π$ times the number of vortices in the condensate. Because of this behaviour the hydrodynamic Aharonov-Bohm can be utilized as a probe for quantum vorticity, whose experimental realization could offers an alternative route to investigate quantum turbulence in the laboratory.

arXiv:1504.00691Apr 2, 20151 citation

Many-body Aharonov-Bohm caging in a lattice of rings

Eulàlia Nicolau, A. M. Marques, R. G. Dias +2 more

We study a system of a few ultracold bosons loaded into states with orbital angular momentum $l=1$ of a one-dimensional staggered lattice of rings. Local eigenstates with winding numbers $+l$ and $\ensuremath{-}l$ form a Creutz ladder with a real dimension and a synthetic one. States with opposite winding numbers in adjacent rings are coupled through complex tunnelings, which can be tuned by modifying the central angle $\ensuremath{\phi}$ of the lattice. We analyze both the single-particle case and the few boson bound-state subspaces for the regime of strong interactions using perturbation theory, showing how the geometry of the system can be engineered to produce an effective $\ensuremath{\pi}$ flux through the plaquettes. We find nontrivial topological band structures and many-body Aharonov-Bohm caging in the $N$ -particle subspaces even in the presence of a dispersive single-particle spectrum. Additionally, we study the family of models where the angle $\ensuremath{\phi}$ is introduced at an arbitrary lattice periodicity $\mathrm{\ensuremath{\Gamma}}$. For $\mathrm{\ensuremath{\Gamma}}>2$, the $\ensuremath{\pi}$ flux becomes nonuniform, which enlarges the spatial extent of the Aharonov-Bohm caging as the number of flat bands in the spectrum increases. All the analytical results are benchmarked through exact diagonalization.We study a system of a few ultracold bosons loaded into states with orbital angular momentum $l=1$ of a one-dimensional staggered lattice of rings. Local eigenstates with winding numbers $+l$ and $\ensuremath{-}l$ form a Creutz ladder with a real dimension and a synthetic one. States with opposite winding numbers in adjacent rings are coupled through complex tunnelings, which can be tuned by modifying the central angle $\ensuremath{\phi}$ of the lattice. We analyze both the single-particle case and the few boson bound-state subspaces for the regime of strong interactions using perturbation theory, showing how the geometry of the system can be engineered to produce an effective $\ensuremath{\pi}$ flux through the plaquettes. We find nontrivial topological band structures and many-body Aharonov-Bohm caging in the $N$-particle subspaces even in the presence of a dispersive single-particle spectrum. Additionally, we study the family of models where the angle $\ensuremath{\phi}$ is introduced at an arbitrary lattice periodicity $\mathrm{\ensuremath{\Gamma}}$. For $\mathrm{\ensuremath{\Gamma}}>2$, the $\ensuremath{\pi}$ flux becomes nonuniform, which enlarges the spatial extent of the Aharonov-Bohm caging as the number of flat bands in the spectrum increases. All the analytical results are benchmarked through exact diagonalization.

arXiv:2209.09183Physical Review AFeb 3, 202320 citations

On the alternative interpretation of the aharonov-bohm effect

G N Afanasiev

Nuovo cimento della Società italiana di fisica. A, Nuclei, particles and fieldsMay 1, 19883 citations

2π

times the winding number. We also consider lattices of vortices. If the angular momentum of the vortices are aligned, the total phase shift is

2π

times the number of vortices in the condensate. Because of this behaviour the hydrodynamic Aharonov-Bohm can be utilized as a probe for quantum vorticity, whose experimental realization could offers an alternative route to investigate quantum turbulence in the laboratory.

We study a system of a few ultracold bosons loaded into states with orbital angular momentum

l=1

of a one-dimensional staggered lattice of rings. Local eigenstates with winding numbers

+l

and $\ensuremath{-}l$ form a Creutz ladder with a real dimension and a synthetic one. States with opposite winding numbers in adjacent rings are coupled through complex tunnelings, which can be tuned by modifying the central angle $\ensuremath{\phi}$ of the lattice. We analyze both the single-particle case and the few boson bound-state subspaces for the regime of strong interactions using perturbation theory, showing how the geometry of the system can be engineered to produce an effective $\ensuremath{\pi}$ flux through the plaquettes. We find nontrivial topological band structures and many-body Aharonov-Bohm caging in the

N

-particle subspaces even in the presence of a dispersive single-particle spectrum. Additionally, we study the family of models where the angle $\ensuremath{\phi}$ is introduced at an arbitrary lattice periodicity $\mathrm{\ensuremath{\Gamma}}$. For $\mathrm{\ensuremath{\Gamma}}>2$, the $\ensuremath{\pi}$ flux becomes nonuniform, which enlarges the spatial extent of the Aharonov-Bohm caging as the number of flat bands in the spectrum increases. All the analytical results are benchmarked through exact diagonalization.