Tricritical Points and Reentry in the Quantum Hopfield Neural-Network Model |
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Authors: | XI Qin MA YuQiang |
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Institution: | 1. Department of Physics, Nanjing University, Nanjing 210093, China;
2. National Lboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, China |
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Abstract: | We examine a quantum Hopfield neural-network model in the presence of trimodal random transverse fields and random neuronal thresholds within the method of statistical physics. We use the Trotter decomposition to map the problem into an equivalent classical random Hopfield-type Ising model and obtain phase transitions between the ferromagnetic retrieval and the paramagnetic phases. The influence of competition between the diluted random transverse fields and the diluted random thresholds on the system is discussed, and some interesting results such as tricritical points and reentrance are analyzed. |
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Keywords: | phase transition disordered system Hopfield model |
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