2010/10/31 by Igor Lesanovsky, I. Lesanovsky · 2 citations
Computer Science · Physics and Astronomy · #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Excited state #Ground state #Hamiltonian (control theory) #Lattice (music) #Physics #Quantum Information and Cryptography #Quantum many-body systems #Quantum mechanics #Rydberg formula #Superposition principle #cond-mat.other #physics.atom-ph #quant-ph
paper · pdf · doi:10.1103/physrevlett.106.025301
published as Phys. Rev. Lett. 106, 025301 (2011)
openalex publication_date 2011/01/11 · arxiv created 2011/01/23 · arxiv updated 2015/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study a one-dimensional atomic lattice gas in which Rydberg atoms are excited by a laser and whose external dynamics is frozen. We identify a parameter regime in which the Hamiltonian is well approximated by a spin Hamiltonian with quasilocal many-body interactions which possesses an exact analytic ground state solution. This state is a superposition of all states of the system that are compatible with an interaction induced constraint weighted by a fugacity. We perform a detailed analysis of this state which exhibits a crossover between a paramagnetic phase with short-ranged correlations and a crystal. This study also leads us to a class of spin models with many-body interactions that permit an analytic ground state solution.