Adiabatic Preparation of a Heisenberg Antiferromagnet Using an Optical Superlattice

2011/06/30 by Michael Lubasch, V. Murg, Valentin Murg +5 · 74 citations
Physics and Astronomy · #Adiabatic process #Antiferromagnetism #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fermion #Heisenberg model #Lattice (music) #Optical lattice #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Statistical physics #Strong Light-Matter Interactions #Superlattice #Theoretical physics #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1103/physrevlett.107.165301

published in Physical Review Letters 107(16), 165301 (American Physical Society) · 5 pages, 4 figures + Supplementary Material (5 pages, 6 figures), published version

openalex publication_date 2011/10/11 · arxiv created 2011/11/06 · arxiv updated 2011/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We analyze the possibility to prepare a Heisenberg antiferromagnet with cold fermions in optical lattices, starting from a band insulator and adiabatically changing the lattice potential. The numerical simulation of the dynamics in 1D allows us to identify the conditions for success, and to study the influence that the presence of holes in the initial state may have on the protocol. We also extend our results to two-dimensional systems.

Citations

• Matrix Product Density Operators: Simulation of Finite-Temperature and Dissipative Systems
• Phase diagram of an anisotropic bosonict−Jmodel
• Efficient Simulation of One-Dimensional Quantum Many-Body Systems
• Implementation of Spin Hamiltonians in Optical Lattices
• Ground-state phase diagram of quantum Heisenberg antiferromagnets on the anisotropic dimerized square lattice

Cited by

• Systematic construction of density functionals based on matrix product state computations