Phase transition and chaos in charged SYK model
Nilakash Sorokhaibam
Abstract
A bstract We study chaotic-integrable transition and the nature of quantum chaos in SYK model with chemical potential. We use a novel numerical technique to calculate the partition function explicitly. We show the phase transition in the presence of large chemical potential. We also show that a mass-like term consisting of two fermion random interaction ( q = 2 SYK term) does not give rise to a sharp transition. We find that turning on the chemical potential suppresses the Lyapunov exponent in the chaotic phase exponentially.
Topics & Concepts
SykLyapunov exponentChaoticPhase transitionIntegrable systemStatistical physicsQuantum chaosQuantum phase transitionPartition function (quantum field theory)Phase (matter)PhysicsCHAOS (operating system)QuantumQuantum mechanicsCondensed matter physicsMathematical physicsChemistryNonlinear systemComputer scienceQuantum dynamicsTyrosine kinaseSignal transductionComputer securityBiochemistryArtificial intelligenceQuantum many-body systemsQuantum chaos and dynamical systemsOpinion Dynamics and Social Influence