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One dimensional quantum systems which can either be multiple discrete spin particles or their continuum limit.

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$\underline{\textbf{Model:}}$ Let we have the $t-V$ model for spinless fermions on a 1D lattice, which is defined in second quantization operators as follows: $$H_1 = -t\sum_i \big(c_i^\dagger c_{i+ …
asked Jan 26 by Luqman Saleem
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I want to numerically solve 1D spinless Hubbard model using Bethe Ansatz. Can you provide me some online references for that.
asked Feb 20 '18 by Luqman Saleem
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I am reading this book about numerical methods in physics. It has the following question: Consider the Ising Hamiltonian defined as following $$H=-\sum_ {i=1}^{N-1} \sigma_i^x \sigma_ {i+1} ^x + …
asked Dec 29 '18 by Luqman Saleem
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I want to learn tensor network methods for condensed matter systems. I went through some basic papers (i.e. 1,2) and come to know that there are many things (i.e. different math, tensors, renormalizat …
asked Dec 28 '18 by Luqman Saleem
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I read from somewhere that 1D spinless Hubbard model can be mapped onto XXZ Heisenberg model but I don't remember from where did I read this sentence. I tried googling it but couldn't find any thing i …
asked Dec 18 '17 by Luqman Saleem