Abstract
In this article, we are going to present a pedagogical review of basic properties of Ising and Heisenberg models. Using these properties, we shall study basic properties of the quantum phase transition in 1D Ising model and follow it with an analogous study of the Bose-Hubbard model which is relevant to the current experimental systems involving bosons in optical lattices.
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Sengupta, K. (2015). A Brief Introduction to Quantum Phase Transitions. In: Sarkar, S., Basu, U., De, S. (eds) Applied Mathematics. Springer Proceedings in Mathematics & Statistics, vol 146. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2547-8_6
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DOI: https://doi.org/10.1007/978-81-322-2547-8_6
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Publisher Name: Springer, New Delhi
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Online ISBN: 978-81-322-2547-8
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