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SUMMARY:Quantum-Classical Correspondence in Weakly Perturbed Integrable Sy
 stems [Confirmed]
DTSTART:20260511T150000Z
DTEND:20260511T163000Z
DTSTAMP:20260811T115700Z
UID:indico-event-2308@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Meenu Kumari (National Research Council Canada)\n\nI
 n classical systems\, the Kolmogorov–Arnold–Moser (KAM) theorem establ
 ishes that resonant tori of integrable Hamiltonians are destroyed by any n
 onintegrable perturbation\, whereas nonresonant tori are only deformed up 
 to a finite value of the perturbation parameter. In this seminar\, we expl
 ore a quantum analog of this differentiated sensitivity for one-degree-of-
 freedom spin Hamiltonians subject to periodic instantaneous kicks. After d
 etecting quantum signatures of resonances in the participation ratio and i
 n the quasiprobability phase-space distribution of Floquet eigenstates of 
 the perturbed Hamiltonian\, we show that eigenstates of the unperturbed Ha
 miltonian exhibit greater sensitivity against the perturbation when they s
 atisfy a resonant condition. The sensitivity is quantified through the fid
 elity between perturbed and unperturbed eigenstates. This differentiated s
 ensitivity becomes increasingly pronounced as the system size grows. Our f
 indings are supported by numerical results and insights from analytical ca
 lculations based on unitary perturbation theory. Although our analysis foc
 uses on kicked models\, the mechanism could be extended to more general pe
 riodic drivings\, providing a preliminary step toward a quantum counterpar
 t of the classical breaking of resonant tori in weakly perturbed integrabl
 e systems. Reference: arXiv:2504.13257. \n\nhttps://events.perimeterinsti
 tute.ca/event/2308/
LOCATION:PI/3-301 - Alice Room (Perimeter Institute for Theoretical Physic
 s)
URL:https://events.perimeterinstitute.ca/event/2308/
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