36 citations · 106 across the 26 of their papers we have counts for
34 papers
High spatial resolution charge sensing of quantum Hall states
Cheng-Li Chiu, Taige Wang, Ruihua Fan +5
Charge distribution offers a unique fingerprint of important properties of electronic systems, including dielectric response, charge ordering and charge fractionalization. We devel…
Trapping Ion Coulomb Crystals in an Optical Lattice
Daniel Hoenig, Fabian Thielemann, Leon Karpa +3
We report the optical trapping of multiple ions localized at individual lattice sites of a one-dimensional optical lattice. We observe a fivefold increase in robustness against axi…
An effective version of the Oppenheim conjecture with a polynomial error rate
Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang +1
We prove an effective version of the Oppenheim conjecture with a polynomial error rate. The proof is based on an effective equidistribution theorem which in turn relies on recent p…
Quantitative equidistribution and the local statistics of the spectrum of a flat torus
Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang
We show that pair correlation function for the spectrum of a flat 2-dimensional torus satisfying an explicit Diophantine condition agrees with those of a Poisson process with a pol…
Effective equidistribution for some one parameter unipotent flows
Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang
We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipotent subgroups of in arithmetic quotients of $\ope…
Property tau in positive characteristic
Amir Mohammadi, Nattalie Tamam
We prove a quantitative equidistribution statement for certain adelic homogeneous subsets in positive characteristic. As an application, we describe a proof of property tau for ari…