2017/06/30 by Wen Wei Ho, Ivan Protopopov, I. V. Protopopov +1 · 34 citations
Mathematics · Physics and Astronomy · #Absorption (acoustics) #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Diamond #Fermion #Hamiltonian (control theory) #Ion #Materials science #Physics #Quantum #Quantum chaos and dynamical systems #Quantum many-body systems #Quantum mechanics #Range (aeronautics) #Spins #Statistical physics #cond-mat.dis-nn #cond-mat.stat-mech #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1103/physrevlett.120.200601
published in Physical Review Letters 120(20), 200601 (American Physical Society) · 6+6 pages
arxiv created 2018/05/15 · openalex publication_date 2018/05/15 · arxiv updated 2018/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Long-range interacting systems such as nitrogen vacancy centers in diamond and trapped ions serve as experimental setups to probe a range of nonequilibrium many-body phenomena. In particular, via driving, various effective Hamiltonians with physics potentially quite distinct from short-range systems can be realized. In this Letter, we derive general rigorous bounds on the linear response energy absorption rates of periodically driven systems of spins or fermions with long-range interactions that are sign changing and fall off as 1/rα with α>d/2. We show that the disorder averaged energy absorption rate at high temperatures decays exponentially with the driving frequency. This strongly suggests the presence of a prethermal plateau in which dynamics is governed by an effective, static Hamiltonian for long times, and we provide numerical evidence to support such a statement. Our results are relevant for understanding timescales of heating and new dynamical regimes described by effective Hamiltonians in such long-range systems.