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https://dipositint.ub.edu/dspace/handle/2445/188076
Title: | One-axis twisting with nearest neighbour interactions |
Author: | Gheorghita, Edward |
Director/Tutor: | Usui, Ayaka Juliá-Díaz, Bruno |
Keywords: | Teoria quàntica Sistemes hamiltonians Treballs de fi de màster Quantum theory Hamiltonian systems Master's theses |
Issue Date: | Jul-2022 |
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. |
Note: | 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 |
URI: | http://hdl.handle.net/2445/188076 |
Appears in Collections: | Màster Oficial - Ciència i Tecnologia Quàntiques / Quantum Science and Technology |
Files in This Item:
File | Description | Size | Format | |
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GheorghitaEdwardThesis.pdf | 1.84 MB | Adobe PDF | View/Open |
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