Off-diagonal long-range order (ODLRO) is a quantum phenomenon not describable
in classical mechanical terms. It is believed to be one characteristic of
superconductivity. The quantum state constructed by eta-pairing which
demonstrates ODLRO is an eigenstate of the three-dimensional Hubbard model.
Entanglement is a key concept of the quantum information processing and has no
classical counterpart. We study the entanglement property of eta-pairing
quantum state. The concurrence is a well-known measure of quantum entanglement.
We show that the concurrence of entanglement between one-site and the rest
sites is exactly the correlation function of the ODLRO for the eta-pairing
state in the thermodynamic limit. So, when the eta-pairing state is entangled,
it demonstrates ODLRO and is thus in superconducting phase, if it is a
separable state, there is no ODLRO. In the thermodynamic limit, the
entanglement between M-site and other sites of the eta-pairing state does not
vanish. Other types of ODLRO of eta-pairing state are presented. We show that
the behavior of the ODLRO correlation functions is equivalent to that of the
entanglement of the eta-pairing state. The scaling of the entropy of the
entanglement for the eta-pairing state is studied.
%0 Generic
%1 citeulike:478902
%A Fan, Heng
%A Lloyd, Seth
%D 2004
%K entanglement long-range off-diagonal
%T Entanglement of eta-pairing state with off-diagonal long-range order
%U http://arxiv.org/abs/quant-ph/0405130
%X Off-diagonal long-range order (ODLRO) is a quantum phenomenon not describable
in classical mechanical terms. It is believed to be one characteristic of
superconductivity. The quantum state constructed by eta-pairing which
demonstrates ODLRO is an eigenstate of the three-dimensional Hubbard model.
Entanglement is a key concept of the quantum information processing and has no
classical counterpart. We study the entanglement property of eta-pairing
quantum state. The concurrence is a well-known measure of quantum entanglement.
We show that the concurrence of entanglement between one-site and the rest
sites is exactly the correlation function of the ODLRO for the eta-pairing
state in the thermodynamic limit. So, when the eta-pairing state is entangled,
it demonstrates ODLRO and is thus in superconducting phase, if it is a
separable state, there is no ODLRO. In the thermodynamic limit, the
entanglement between M-site and other sites of the eta-pairing state does not
vanish. Other types of ODLRO of eta-pairing state are presented. We show that
the behavior of the ODLRO correlation functions is equivalent to that of the
entanglement of the eta-pairing state. The scaling of the entropy of the
entanglement for the eta-pairing state is studied.
@misc{citeulike:478902,
abstract = {Off-diagonal long-range order (ODLRO) is a quantum phenomenon not describable
in classical mechanical terms. It is believed to be one characteristic of
superconductivity. The quantum state constructed by eta-pairing which
demonstrates ODLRO is an eigenstate of the three-dimensional Hubbard model.
Entanglement is a key concept of the quantum information processing and has no
classical counterpart. We study the entanglement property of eta-pairing
quantum state. The concurrence is a well-known measure of quantum entanglement.
We show that the concurrence of entanglement between one-site and the rest
sites is exactly the correlation function of the ODLRO for the eta-pairing
state in the thermodynamic limit. So, when the eta-pairing state is entangled,
it demonstrates ODLRO and is thus in superconducting phase, if it is a
separable state, there is no ODLRO. In the thermodynamic limit, the
entanglement between M-site and other sites of the eta-pairing state does not
vanish. Other types of ODLRO of eta-pairing state are presented. We show that
the behavior of the ODLRO correlation functions is equivalent to that of the
entanglement of the eta-pairing state. The scaling of the entropy of the
entanglement for the eta-pairing state is studied.},
added-at = {2007-08-18T13:22:24.000+0200},
author = {Fan, Heng and Lloyd, Seth},
biburl = {https://www.bibsonomy.org/bibtex/22ed8620e266a14c0a948e08d6c2e137e/a_olympia},
citeulike-article-id = {478902},
description = {citeulike},
eprint = {quant-ph/0405130},
interhash = {0028de4750674dbd30ed128e9051a377},
intrahash = {2ed8620e266a14c0a948e08d6c2e137e},
keywords = {entanglement long-range off-diagonal},
month = May,
priority = {2},
timestamp = {2007-08-18T13:22:36.000+0200},
title = {Entanglement of eta-pairing state with off-diagonal long-range order},
url = {http://arxiv.org/abs/quant-ph/0405130},
year = 2004
}