426 citations · 5.6k across the 221 of their papers we have counts for
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Quantum phase transition in the Frenkel-Kontorova chain: from pinned instanton glass to sliding phonon gas
O. V. Zhirov, G. Casati, D. L. Shepelyansky
We study analytically and numerically the one-dimensional quantum Frenkel-Kontorova chain in the regime when the classical model is located in the pinned phase characterized by the…
Dynamical localization simulated on a few qubits quantum computer
Giuliano Benenti, Giulio Casati, Simone Montangero +1
We show that a quantum computer operating with a small number of qubits can simulate the dynamical localization of classical chaos in a system described by the quantum sawtooth map…
Quantum Computing of Quantum Chaos in the Kicked Rotator Model
B. Levi, B. Georgeot, D. L. Shepelyansky
We investigate a quantum algorithm which simulates efficiently the quantum kicked rotator model, a system which displays rich physical properties, and enables to study problems of…
To the problem of Poincare recurrences in generic Hamiltonian systems
B. V. Chirikov, D. L. Shepelyansky
We discuss the problem of Poincare recurrences in area-preserving maps and the universality of their decay at long times. The work is related to to the results presented in Refs. […
Transition to an Insulating Phase Induced by Attractive Interactions in the Disordered Three-Dimensional Hubbard Model
Bhargavi Srinivasan, Giuliano Benenti, Dima L. Shepelyansky
We study numerically the interplay of disorder and attractive interactions for spin-1/2 fermions in the three-dimensional Hubbard model. The results obtained by projector quantum M…
Strange attractor simulated on a quantum computer
M. Terraneo, B. Georgeot, D. L. Shepelyansky
We show that dissipative classical dynamics converging to a strange attractor can be simulated on a quantum computer. Such quantum computations allow to investigate efficiently the…