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Eigenstates of Operating Quantum Computer: Hypersensitivity to Static Imperfections
Giuliano Benenti, Giulio Casati, Simone Montangero +1
We study the properties of eigenstates of an operating quantum computer which simulates the dynamical evolution in the regime of quantum chaos. Even if the quantum algorithm is pol…
Sensitivity of Quantum Motion for Classically Chaotic Systems
Giuliano Benenti, Giulio Casati
We discuss the behavior of fidelity for a classically chaotic quantum system in the metallic regime. We show the existence of a critical value of the perturbation below which the e…
From the Fermi Liquid Towards the Wigner Solid in Two Dimensions
Jean-Louis Pichard, Giuliano Benenti, Georgios Katomeris +2
The quantum-classical crossover from the Fermi liquid towards the Wigner solid is numerically revisited, considering small square lattice models where electrons interact via a Coul…
Efficient Quantum Computing of Complex Dynamics
Giuliano Benenti, Giulio Casati, Simone Montangero +1
We propose a quantum algorithm which uses the number of qubits in an optimal way and efficiently simulates a physical model with rich and complex dynamics described by the quantum…
Quantum Fractal Fluctuations
Giuliano Benenti, Giulio Casati, Italo Guarneri +1
We numerically analyse quantum survival probability fluctuations in an open, classically chaotic system. In a quasi-classical regime, and in the presence of classical mixed phase s…
Spin Polarized Ground State for Interacting Electrons in Two Dimensions
Giuliano Benenti, Gaetan Caldara, Dima L. Shepelyansky
We study numerically the ground state magnetization for clusters of interacting electrons in two dimensions in the regime where the single particle wavefunctions are localized by d…