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Superconducting Qubits

The quantum Ising chain for beginners

arXiv

Authors: Glen Bigan Mbeng, Angelo Russomanno, Giuseppe E. Santoro

Year

2020

Paper ID

20583

Status

Preprint

Abstract Read

~2 min

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Abstract

We present here various techniques to work with clean and disordered quantum Ising chains, for the benefit of students and non-experts. Starting from the Jordan-Wigner transformation, which maps spin-1/2 systems into fermionic ones, we review some of the basic approaches to deal with the superconducting correlations that naturally emerge in this context. In particular, we analyse the form of the ground state and excitations of the model, relating them to the symmetry-breaking physics, and illustrate aspects connected to calculating dynamical quantities, thermal averages, correlation functions and entanglement entropy. A few problems provide simple applications of the techniques.

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This paper contributes to the Superconducting Qubits research area in the Quantum Articles archive.
It adds a 2020 reference point for readers tracking recent quantum research.
We present here various techniques to work with clean and disordered quantum Ising chains, for the benefit of students and non-experts.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2009.09208 [2] arXiv https://arxiv.org/abs/2009.09208 [3] Publisher https://arxiv.org/abs/2009.09208

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