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

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...

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Veröffentlicht in:Physical review letters 2018-05, Vol.120 (20), p.200601-200601, Article 200601
Hauptverfasser: Ho, Wen Wei, Protopopov, Ivan, Abanin, Dmitry A
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Sprache:eng
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Zusammenfassung: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/r^{α} 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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.120.200601