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| related topics |
| {entanglement, phys, rev} |
| {state, algorithm, problem} |
| {energy, state, states} |
| {temperature, thermal, energy} |
| {vol, operators, histories} |
| {state, phys, rev} |
| {theory, mechanics, state} |
| {phase, path, phys} |
| {group, space, representation} |
| {state, states, entangled} |
| {time, decoherence, evolution} |
| {information, entropy, channel} |
|
Entanglement, quantum phase transitions, and density matrix
renormalization
Tobias J. Osborne, Michael A. Nielsen
abstract: We investigate the role of entanglement in quantum phase transitions, and
show that the success of the density matrix renormalization group (DMRG) in
understanding such phase transitions is due to the way it preserves
entanglement under renormalization. We provide a reinterpretation of the DMRG
in terms of the language and tools of quantum information science which allows
us to rederive the DMRG in a physically transparent way. Motivated by our
reinterpretation we suggest a modification of the DMRG which manifestly takes
account of the entanglement in a quantum system. This modified renormalization
scheme is shown,in certain special cases, to preserve more entanglement in a
quantum system than traditional numerical renormalization methods.
- oai_identifier:
- oai:arXiv.org:quant-ph/0109024
- categories:
- quant-ph cond-mat
- comments:
- 5 pages, 1 eps figure, revtex4; added reference and qualifying
remarks
- doi:
- 10.1023/A:1019601218492
- arxiv_id:
- quant-ph/0109024
- journal_ref:
- Quantum Information Processing, vol. 1 (1-2), pp. 45-53 (2002)
- created:
- 2001-09-04
- updated:
- 2002-04-02
Full article ▸
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