Realizing a scalable building block of a U(1) gauge theory with cold atomic mixtures

Alexander Mil, Torsten V. Zache, Apoorva Hegde, Andy Xia, Rohit Prasad Bhatt, Markus K. Oberthaler, Philipp Hauke, Jürgen Berges, Fred Jendrzejewski · arXiv (Cornell University) · 2019

In the fundamental laws of physics, gauge fields mediate the interaction between charged particles. An example is quantum electrodynamics -- the theory of electrons interacting with the electromagnetic field -- based on U(1) gauge symmetry. Solving such gauge theories is in general a hard problem for classical computational techniques. While quantum computers suggest a way forward, it is difficult to build large-scale digital quantum devices required for complex simulations. Here, we propose a fully scalable analog quantum simulator of a U(1) gauge theory in one spatial dimension. To engineer the local gauge symmetry, we employ inter-species spin-changing collisions in an atomic mixture. We demonstrate the experimental realization of the elementary building block as a key step towards a platform for large-scale quantum simulations of continuous gauge theories.

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