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arxiv 1907.12504 v2 pith:VFNUNYVG submitted 2019-07-29 cond-mat.str-el cond-mat.stat-mechhep-thquant-ph

Universal Prethermal Dynamics in Gross-Neveu-Yukawa Criticality

classification cond-mat.str-el cond-mat.stat-mechhep-thquant-ph
keywords fixedpointdynamicsprethermalequilibriumquenchuniversalchiral
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the prethermal dynamics of the Gross-Neveu-Yukawa quantum field theory, suddenly quenched in the vicinity of a quantum critical point. We find that the universal prethermal dynamics is controlled by two fixed points depending on the size of the quench. Besides the usual equilibrium chiral Ising fixed point for a shallow quench, a dynamical chiral Ising fixed point is identified for a deep quench. Intriguingly, the latter is a non-thermal fixed point without any equilibrium counterpart due to the participation of gapless fermionic fields. We also find that in the scaling regime controlled by the equilibrium fixed point, the initial slip exponent is rendered negative if there are enough flavors of fermions, thus providing a unique signature of fermionic prethermal dynamics. We then explore the temporal crossover between the universal scaling regimes governed by the two universality classes. Possible experimental realizations are also discussed.

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