Quantum simulation of an extra dimension
O. Boada, A. Celi, M. Lewenstein, J. I. Latorre
TL;DR
This paper proposes a method to simulate higher-dimensional quantum systems using lower-dimensional setups, specifically utilizing optical lattices to emulate an extra spatial dimension and detect its effects.
Contribution
The authors introduce a general strategy for simulating D+1-dimensional quantum systems with D-dimensional systems, including a feasible optical lattice implementation.
Findings
Feasible implementation of a 4D simulation using optical lattices.
Proposed experimental signatures to detect the extra dimension.
Analysis of bivolume geometry as a realization of the fourth dimension.
Abstract
We present a general strategy to simulate a D+1-dimensional quantum system using a D-dimensional one. We analyze in detail a feasible implementation of our scheme using optical lattice technology. The simplest non-trivial realization of a fourth dimension corresponds to the creation of a bivolume geometry. We also propose single- and many-particle experimental signatures to detect the effects of the extra dimension.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.