Quantum System's Evolution Defies Standard Approximation - Quantum Zeitgeist
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Matias Ginzburg of Scuola Internazionale Superiore di Studi Avanzati, Simone Rademacher of LMU Munich and Giacomo De Palma of University of Bologna have demonstrated a fundamental limitation in a widely used simplification of quantum dynamics. The researchers analytically solved a model of N bosonic qubits governed by a purely anti-Hermitian Hamiltonian, revealing that the standard mean-field Hartree approximation fails to accurately predict the system’s behavior as the number of qubits increases.
This failure occurs even in the thermodynamic limit, challenging the validity of the Hartree approximation for non-Hermitian Hamiltonians and potentially impacting a quantum algorithm designed to solve nonlinear differential equations. Their findings call for additional conditions to ensure the accuracy of mean-field models in bosonic many-body systems.
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