Abstract
We utilize reduced density matrices and restrictions upon them to obtain variational lower bounds to the ground state energy of the transverse Ising model. A systematic use of restrictions on a cluster representation (like 3 or 4 sites) of the system in 1, 2, and infinite dimensions, shows that a small class of conditions is sufficient to yield good results for little effort. The technique is analytically straightforward, and is clearly a promising direction to go for ground state energy bounds of quantum lattices with short range interactions.
Original language | English (US) |
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Pages (from-to) | 907-921 |
Number of pages | 15 |
Journal | Molecular Physics |
Volume | 86 |
Issue number | 4 |
DOIs | |
State | Published - Nov 1995 |
ASJC Scopus subject areas
- Biophysics
- Molecular Biology
- Condensed Matter Physics
- Physical and Theoretical Chemistry