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TT: Fachverband Tiefe Temperaturen
TT 87: Many-body Quantum Dynamics II (joint session DY/TT)
TT 87.2: Vortrag
Donnerstag, 12. März 2026, 15:15–15:30, HÜL/S186
Ground-State Exploration Driven by Thermal and Quantum Fluctuations — •Yoshiaki Horiike1 and Yuki Kawaguchi1,2 — 1Department of Applied Physics, Nagoya University, Nagoya, Japan — 2Research Center for Crystalline Materials Engineering, Nagoya University, Nagoya, Japan
Simulated annealing provides a heuristic solution to combinatorial optimization problems. The cost function of a problem is mapped onto the energy function of a physical many-body system, and, by using thermal or quantum fluctuations, the system explores the state space to find the ground state, which may correspond to the optimal solution of the problem. Studies have highlighted both the similarities and differences between thermal and quantum fluctuations. Nevertheless, fundamental understanding of thermal and quantum annealing remains incomplete, making it unclear how quantum annealing outperforms thermal annealing. Here, we investigate the many-body dynamics of thermal and quantum annealing by examining all possible interaction networks of ± J Ising spin systems up to seven spins. Our comprehensive investigation reveals that differences between thermal and quantum annealing become prominent for particular interaction networks, indicating that the structure of the energy landscape distinguishes the two dynamics. We identify the microscopic origin of these differences through probability fluxes in state space, finding that the two dynamics are broadly similar but that quantum tunnelling produces qualitative differences. (arXiv:2511.16457)
Keywords: Simulated (quantum and thermal) annealing; Energy landscape; Probability flux; State transition pathways; Quantum supremacy