Quantum Simulation of an Extra Dimension

2011/12/14 by O. Boada, Alessio Celi, A. Celi +4 · 10 citations
Computer Science · Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Dimension (graph theory) #Lattice (music) #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum computer #Quantum many-body systems #Quantum mechanics #Quantum simulator #Realization (probability) #Scheme (mathematics) #Statistical physics #Theoretical physics #Topology (electrical circuits) #cond-mat.other #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1103/physrevlett.108.133001

5 pages, 3 figures, revtex style;v2 minor changes, references added

arxiv created 2011/12/14 · openalex publication_date 2012/03/29 · arxiv updated 2015/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 nontrivial realization of a fourth dimension corresponds to the creation of a bi-volume geometry. We also propose single- and many-particle experimental signatures to detect the effects of the extra dimension.

Citations

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Coherent Transport of Neutral Atoms in Spin-Dependent Optical Lattice Potentials
• Speculations on Bose-Einstein Condensation and Quantum Crystals
• Many-body physics with ultracold gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Experimental Realization of Strong Effective Magnetic Fields in an Optical Lattice
• An optical-lattice-based quantum simulator for relativistic field theories and topological insulators
• Simulating physics with computers
• Quantentheorie und f�nfdimensionale Relativit�tstheorie
• Distributed Entanglement

Cited by

• Synthetic gauge fields in synthetic dimensions: interactions and chiral edge modes
• Measuring Chern numbers in Hofstadter strips
• Topological Devil’s staircase in atomic two-leg ladders
• Topological phase transitions in four dimensions
• Quantum search with interacting Bose-Einstein condensates
• First-order topological quantum phase transition in a strongly correlated ladder
• Optomechanical creation of magnetic fields for photons on a lattice
• Quantum simulations of gauge theories with ultracold atoms: Local gauge invariance from angular-momentum conservation
• Charge Pumping of Interacting Fermion Atoms in the Synthetic Dimension
• Light-Induced Fractional Quantum Hall Phases in Graphene