Timeline for Matrix form of the 1D quantum Ising model mapped to free fermion model via the Jordan -Wigner Transformation
Current License: CC BY-SA 3.0
3 events
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| Mar 20, 2017 at 15:28 | comment | added | mike stone | Well, for a finite chain, it always possible to do the $2L$-by$2L$ Bogoliubov diagonalization numerically. I think its actually easier for Fermions because diagonlizaing the Hamitonian can be though of as conjugating an element of the Lie algebra of ${\rm SO}(2N)$ into its maximal torus. For Bosons the linear algebra involves the non-compact {\rm Sp}(2N, {\mathbb R})$, and there are all sorts of different cases. | |
| Mar 20, 2017 at 4:56 | comment | added | user2578520 | But @mike, eventually I will want to introduce disorder (not for the Ising model, but the Kitaev model) such that k is not a good quantum number. | |
| Mar 19, 2017 at 19:48 | history | answered | mike stone | CC BY-SA 3.0 |