REVIEW 4 cited by
A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
Prethermalization refers to the transient phenomenon where a system thermalizes according to a Hamiltonian that is not the generator of its evolution. We provide here a rigorous framework for quantum spin systems where prethermalization is exhibited for very long times. First, we consider quantum spin systems under periodic driving at high frequency $\nu$. We prove that up to a quasi-exponential time $\tau_* \sim e^{c \frac{\nu}{\log^3 \nu}}$, the system barely absorbs energy. Instead, there is an effective local Hamiltonian $\hat D$ that governs the time evolution up to $\tau_*$, and hence this effective Hamiltonian is a conserved quantity up to $\tau_*$. Next, we consider systems without driving, but with a separation of energy scales in the Hamiltonian. A prime example is the Fermi-Hubbard model where the interaction $U$ is much larger than the hopping $J$. Also here we prove the emergence of an effective conserved quantity, different from the Hamiltonian, up to a time $\tau_*$ that is (almost) exponential in $U/J$.
Forward citations
Cited by 4 Pith papers
-
Prethermalization without temperature
An emergent approximate conservation of magnetization creates a long-lived prethermal time-crystal regime at infinite temperature, and tuning the drive field can exponentially extend the NMR time-crystal signal.
-
Long-Range Prethermal Phases of Nonequilibrium Matter
The paper proves, with one explicit assumption in the intermediate regime, that prethermal Floquet phases exist for power-law interacting systems with exponent alpha > d, and predicts a disorder-free one-dimensional p...
-
Emergent Spatial Structure and Entanglement Localization in Floquet Conformal Field Theory
Under sine-square-deformed Floquet driving of a 1+1D CFT, the heating phase localizes energy and Bell-pair entanglement at two fixed-point peaks, and E scales as the exponential of the entropy.
-
Locality and Heating in Periodically Driven, Power-law Interacting Systems
Power-law interacting, periodically driven systems exhibit heating times exponential in drive frequency for alpha > D in linear response and alpha > 2D in general, with the gap attributed to the absence of tight Lieb-...
Discussion (0). Continue with ORCID to comment.