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

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Anisotropy in spin chain hamiltonian

The Hamiltonian of XY Spin Chain on a lattice of N sites can be written as $$ H = -J\sum_{i=1}^N \left(\frac{1+\gamma}{2}\sigma_i^x\sigma_{i+1}^x + \frac{1-\gamma}{2}\sigma_i^y\sigma_{i+1}^y + \lambda …
Mahesh Anigol's user avatar