Ground-state selection via nonlinear quantum dissipation

• URL: http://arxiv.org/abs/2604.03731v1
• Date: Sat, 04 Apr 2026 13:22:46 GMT
• Title: Ground-state selection via nonlinear quantum dissipation
• Abstract summary: We show that quantum Landau--Lifshitz-Gilbert (QLLG) dynamics provides a physically realizable, real-time nonlinear mechanism.<n>QLLG combines coherent precession with dissipative suppression, enabling experimentally accessible ground-state preparation.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Finding the ground state of complex quantum systems remains a central challenge in many-body physics, quantum chemistry, and combinatorial optimization, due to the exponential growth of the Hilbert-space dimension and the entangled structure of ground states. We show that quantum Landau--Lifshitz-Gilbert (QLLG) dynamics, proposed in [Phys. Rev. Lett. 133, 266704 (2024)], provides a physically realizable, real-time nonlinear mechanism that selectively suppresses excited-state components and drives the system toward the lowest-energy eigenstate contained in the initial state. Unlike purely numerical methods such as the imaginary-time projection method, QLLG combines coherent precession with dissipative suppression, enabling experimentally accessible ground-state preparation. For random initial states in the $N$-qubit Hilbert space of dimension $2^N$, convergence occurs in times scaling linearly with system size, $N$, and inversely with the spectral gap. We provide numerical simulations of our analytical results with a Hamiltonian describing an interacting spin chain with Heisenberg exchange and a Zeeman term. Our results identify nonlinear quantum dissipation as a powerful tool for real-time ground-state preparation in large quantum systems and quantum optimization.

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