Abstract
Off-diagonal long-range order (ODLRO) which is believed to be one characteristic of superconductivity is a quantum phenomenon not describable in classical mechanical terms. The quantum state constructed by {eta}-pairing demonstrates ODLRO. Entanglement is a key concept of the quantum information processing and has no classical counterpart. We study the entanglement property of the {eta}-pairing quantum state by concurrence and entropy which are two measures of the 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 the superconducting phase, if it is a separable state, there is no ODLRO. In the thermodynamical limit, the entanglement between the M-site and other sites of the {eta}-pairing state does not vanish. Other types of ODLRO of the {eta}-pairing state are presented. We show that the behaviour 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.
Heng, Fan;
[1]
Lloyd, Seth
[2]
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100080 (China)
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139 (United States)
Citation Formats
Heng, Fan, and Lloyd, Seth.
Entanglement and off-diagonal long-range order of an {eta}-pairing state.
United Kingdom: N. p.,
2005.
Web.
doi:10.1088/0305-4470/38/23/014.
Heng, Fan, & Lloyd, Seth.
Entanglement and off-diagonal long-range order of an {eta}-pairing state.
United Kingdom.
https://doi.org/10.1088/0305-4470/38/23/014
Heng, Fan, and Lloyd, Seth.
2005.
"Entanglement and off-diagonal long-range order of an {eta}-pairing state."
United Kingdom.
https://doi.org/10.1088/0305-4470/38/23/014.
@misc{etde_20657148,
title = {Entanglement and off-diagonal long-range order of an {eta}-pairing state}
author = {Heng, Fan, and Lloyd, Seth}
abstractNote = {Off-diagonal long-range order (ODLRO) which is believed to be one characteristic of superconductivity is a quantum phenomenon not describable in classical mechanical terms. The quantum state constructed by {eta}-pairing demonstrates ODLRO. Entanglement is a key concept of the quantum information processing and has no classical counterpart. We study the entanglement property of the {eta}-pairing quantum state by concurrence and entropy which are two measures of the 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 the superconducting phase, if it is a separable state, there is no ODLRO. In the thermodynamical limit, the entanglement between the M-site and other sites of the {eta}-pairing state does not vanish. Other types of ODLRO of the {eta}-pairing state are presented. We show that the behaviour 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.}
doi = {10.1088/0305-4470/38/23/014}
journal = []
issue = {23}
volume = {38}
place = {United Kingdom}
year = {2005}
month = {Jun}
}
title = {Entanglement and off-diagonal long-range order of an {eta}-pairing state}
author = {Heng, Fan, and Lloyd, Seth}
abstractNote = {Off-diagonal long-range order (ODLRO) which is believed to be one characteristic of superconductivity is a quantum phenomenon not describable in classical mechanical terms. The quantum state constructed by {eta}-pairing demonstrates ODLRO. Entanglement is a key concept of the quantum information processing and has no classical counterpart. We study the entanglement property of the {eta}-pairing quantum state by concurrence and entropy which are two measures of the 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 the superconducting phase, if it is a separable state, there is no ODLRO. In the thermodynamical limit, the entanglement between the M-site and other sites of the {eta}-pairing state does not vanish. Other types of ODLRO of the {eta}-pairing state are presented. We show that the behaviour 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.}
doi = {10.1088/0305-4470/38/23/014}
journal = []
issue = {23}
volume = {38}
place = {United Kingdom}
year = {2005}
month = {Jun}
}