2009/10/02 by Alastair Kay
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #quant-ph
paper · pdf · doi:10.1103/physreva.80.040301
published as Phys. Rev. A 80, 040301(R) (2009) · 4 pages, 1 figure
openalex publication_date 2009/10/02 · arxiv created 2009/11/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Is it possible to prove that the properties of Hamiltonians, such as the ground-state energy, results of dynamical evolution, or thermal state expectation values, can be efficiently calculated when the Hamiltonians have physically motivated constraints such as translational or rotational invariance? We report that rotational invariance does not reduce the difficulty of finding the ground-state energy of the system. Crucially, the construction preserves the translational invariance of a Hamiltonian. The failure of the construction for the properties of thermal states at finite temperatures is discussed.