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GheorghitaEdwardThesis.pdf (1.8 MB)

Document type

Master thesis

Publication date

2022-07

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cc-by-nc-nd (c) Gheorghita, 2022
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/188076

One-axis twisting with nearest neighbour interactions

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Abstract

It is known that a maximally entangled state, GHZ state, is generated by the one-axis twisting Hamiltonian. Recently, it has been numerically shown that a Hamiltonian having neighboring interactions and a field only produces the same dynamics. It is intriguing because it was believed that all-with-all interactions are required for one-axis twisting. The purpose of this work is to reveal how such simple Hamiltonians can show the oneaxis twisting and mimic all-with-all interactions. In particular, we apply the many-body protected manifold technique to the Heisenberg XXX model with a staggered field in attempt to recover all-with-all interactions. We begin with a thorough review of one-axis twisting without and with decoherence. Then, we introduce the many-body protected manifold technique and apply it to the Heisenberg XXZ model, which acquires all-with-all interactions and can generate one-axis twisting. We apply this technique to the Heisenberg XXX model.

Description

Màster Oficial de Ciència i Tecnologia Quàntiques / Quantum Science and Technology, Facultat de Física, Universitat de Barcelona. Curs: 2021-2022. Tutors: Ayaka Usui, Bruno Juliá-Díaz

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Teoria quàntica, Sistemes hamiltonians, Treballs de fi de màster

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Quantum theory, Hamiltonian systems, Master's theses

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Màster Oficial - Ciència i Tecnologia Quàntiques / Quantum Science and Technology

Citation

GHEORGHITA, Edward. One-axis twisting with nearest neighbour interactions. [consulted: 11 of August of 2026]. Available at: https://hdl.handle.net/2445/188076

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