Abstract
The entanglement properties of correlated wave functions commonly employed in theories of strongly correlated many-body systems are studied. The variational treatment of the transverse Ising model within correlated-basis theory is reviewed, and existing calculations of the one- and two-body reduced density matrices are used to evaluate or estimate established measures of bipartite entanglement, including the Von Neumann entropy, the concurrence, and localizable entanglement, for square, cubic, and hypercubic lattice systems. The results discussed in relation to the findings of previous studies that explore the relationship of entanglement behaviors to quantum critical phenomena and quantum phase transitions. It is emphasized that Jastrow-correlated wave functions and their extensions contain multipartite entanglement to all orders.
| Original language | English |
|---|---|
| Pages (from-to) | 4041-4057 |
| Number of pages | 17 |
| Journal | International Journal of Modern Physics B |
| Volume | 23 |
| Issue number | 20-21 |
| Publication status | Published - Aug 20 2009 |
| Externally published | Yes |
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Keywords
- Entanglement measures
- Jastrow wave functions
- Quantum phase transitions
- Strong correlations
- Transverse Ising model
ASJC Scopus subject areas
- Condensed Matter Physics
- Statistical and Nonlinear Physics
Cite this
Entanglement properties of quantum many-body wave functions. / Clark, J. W.; Mandilara, A.; Ristig, M. L.; KÜrten, K. E.
In: International Journal of Modern Physics B, Vol. 23, No. 20-21, 20.08.2009, p. 4041-4057.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Entanglement properties of quantum many-body wave functions
AU - Clark, J. W.
AU - Mandilara, A.
AU - Ristig, M. L.
AU - KÜrten, K. E.
PY - 2009/8/20
Y1 - 2009/8/20
N2 - The entanglement properties of correlated wave functions commonly employed in theories of strongly correlated many-body systems are studied. The variational treatment of the transverse Ising model within correlated-basis theory is reviewed, and existing calculations of the one- and two-body reduced density matrices are used to evaluate or estimate established measures of bipartite entanglement, including the Von Neumann entropy, the concurrence, and localizable entanglement, for square, cubic, and hypercubic lattice systems. The results discussed in relation to the findings of previous studies that explore the relationship of entanglement behaviors to quantum critical phenomena and quantum phase transitions. It is emphasized that Jastrow-correlated wave functions and their extensions contain multipartite entanglement to all orders.
AB - The entanglement properties of correlated wave functions commonly employed in theories of strongly correlated many-body systems are studied. The variational treatment of the transverse Ising model within correlated-basis theory is reviewed, and existing calculations of the one- and two-body reduced density matrices are used to evaluate or estimate established measures of bipartite entanglement, including the Von Neumann entropy, the concurrence, and localizable entanglement, for square, cubic, and hypercubic lattice systems. The results discussed in relation to the findings of previous studies that explore the relationship of entanglement behaviors to quantum critical phenomena and quantum phase transitions. It is emphasized that Jastrow-correlated wave functions and their extensions contain multipartite entanglement to all orders.
KW - Entanglement measures
KW - Jastrow wave functions
KW - Quantum phase transitions
KW - Strong correlations
KW - Transverse Ising model
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M3 - Article
VL - 23
SP - 4041
EP - 4057
JO - International Journal of Modern Physics B
JF - International Journal of Modern Physics B
SN - 0217-9792
IS - 20-21
ER -