Quantum Chaos in Generic Systems (量子力学とカオスのボーダーにおける基礎的問題)

Marko Robnik

Marko Robnik

Étienne Lantagne-Hurtubise, Stephan Plugge, Oguzhan Can +1 more

The authors introduce new protocols to diagnose many-body quantum chaos using the entanglement between two identical copies of a system prepared in the thermal field double state. These protocols do not require backward time evolution of quantum states, but instead comprise conventional, time-ordered measurements on the coupled system. The approach is applicable to generic quantum many-body systems, thus allowing to investigate quantum chaos beyond the few-particle settings considered so far.

Paolo Facchi A, Saverio Pascazio, Antonello Scardicchio

Vladimir Zelevinsky, Alexander Volya

Many-body quantum chaos results from interparticle interactions in mesoscopic systems at sufficiently high level density. A short review shows that, going beyond generic properties of local spectral statistics, the ideas of many-body quantum chaos serve as a rich source of new theoretical approaches, computational and experimental tools. Chosen examples include the enhancement of weak perturbations, thermalization in finite systems, exponential convergence of large Hamiltonian matrices and correlations between the states of different symmetry.

Thomas Dittrich, Robert Graham