Bounds on Energy Absorption and Prethermalization in Quantum Systems with Long-Range Interactions

Wen Wei Ho, Ivan Protopopov, Dmitry A. Abanin

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number200601
JournalPhysical review letters
Volume120
Issue number20
DOIs
StatePublished - May 15 2018
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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