Bounds on Energy Absorption and Prethermalization in Quantum Systems with Long-Range Interactions
At a Glance
Section titled āAt a Glanceā| Metadata | Details |
|---|---|
| Publication Date | 2018-05-15 |
| Journal | Physical Review Letters |
| Authors | Wen Wei Ho, I. V. Protopopov, Dmitry A. Abanin |
| Institutions | Landau Institute for Theoretical Physics, University of Geneva |
| Citations | 33 |
Abstract
Section titled āAbstractāLong-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/r^{Ī±} with Ī±>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.