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Interior eigenstates of strongly correlated quantum systems

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2020, Tutor: Sofyan Iblisdir

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We present a new method to compute states of quantum spin systems with high energy and low energy variance. Such states appear to play an important role in investigating current open problems in condensed matter physics. By minimizing the energy variance with a modification of the power method algorithm we obtain, from initial random states, states with low energy variance and their energy located in the middle of the spectrum. We test our method for a system of eight particles, four different instances of the Heisenberg model and one of the Ising model

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Interior eigenstates of strongly correlated quantum systems