Friday, 14. September 2018, 14:00

Invitation to a talk: Meenu Kumari, Friday, September 14, 2018, 2 pm at the IQOQI seminar room

Untangling entanglement and chaos

How does classical chaos affect the generation of quantum

entanglement? What signatures of chaos exist at the quantum level and how

can they be quantified? These questions have puzzled physicists for a

couple of decades now. We answer these questions in spin systems by

analytically establishing a connection between entanglement generation and

a measure of delocalization of a quantum state in such systems. While

delocalization is a generic feature of quantum chaotic systems, it is more

nuanced in regular systems. We explore when the quantum dynamics mimics a

localized classical trajectory, and find criteria to quantify  Bohr's

correspondence principle in periodically driven spin systems. These

criteria are typically violated in a deep quantum regime due to

delocalized evolution. Using our criteria, we establish that entanglement

is a signature of chaos only in a semiclassical regime. Our work provides

a new approach to analyzing quantum chaos and designing systems that can

efficiently generate entanglement.