TY - JOUR
T1 - Operator growth and eigenstate entanglement in an interacting integrable Floquet system
AU - Gopalakrishnan, Sarang
N1 - Publisher Copyright:
© 2018 American Physical Society.
PY - 2018/8/14
Y1 - 2018/8/14
N2 - We analyze a simple model of quantum dynamics, which is a discrete-time deterministic version of the Fredrickson-Andersen model. This model is integrable, with a quasiparticle description related to the classical hard-rod gas. Despite the integrability of the model, commutators of physical operators grow with a diffusively broadening front, in this respect resembling generic chaotic models. In addition, local operators behave consistently with the eigenstate thermalization hypothesis (ETH). However, large subsystems violate ETH; as a function of subsystem size, eigenstate entanglement first increases linearly and then saturates at a scale that is parametrically smaller than half the system size.
AB - We analyze a simple model of quantum dynamics, which is a discrete-time deterministic version of the Fredrickson-Andersen model. This model is integrable, with a quasiparticle description related to the classical hard-rod gas. Despite the integrability of the model, commutators of physical operators grow with a diffusively broadening front, in this respect resembling generic chaotic models. In addition, local operators behave consistently with the eigenstate thermalization hypothesis (ETH). However, large subsystems violate ETH; as a function of subsystem size, eigenstate entanglement first increases linearly and then saturates at a scale that is parametrically smaller than half the system size.
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U2 - 10.1103/PhysRevB.98.060302
DO - 10.1103/PhysRevB.98.060302
M3 - Article
AN - SCOPUS:85051825403
SN - 2469-9950
VL - 98
JO - Physical Review B
JF - Physical Review B
IS - 6
M1 - 060406
ER -