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MARIN SANCHEZ GABRIEL_474052.pdf (959.19 KB)

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Bachelor thesis

Publication date

2020-01

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cc-by-nc-nd (c) Marín , 2020
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/176514

Interior eigenstates of strongly correlated quantum systems

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Abstract

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

Description

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

Subject

Matèria condensada, Spin (Física nuclear), Treballs de fi de grau

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Condensed matter, Nuclear spin, Bachelor's theses

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Treballs Finals de Grau (TFG) - Física

Citation

MARÍN SÁNCHEZ, Gabriel. Interior eigenstates of strongly correlated quantum systems. [consulted: 14 of June of 2026]. Available at: https://hdl.handle.net/2445/176514

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