| BRAVYI, Sergey, Libor CAHA, Ramis MOVASSAGH, Daniel NAGAJ a Peter SHOR. Criticality without Frustration for Quantum Spin-1 Chains. Physical Review Letters. COLLEGE PK: Americal Physical Society, 2012, roč. 109, č. 20, s. 1-5. ISSN 0031-9007. Dostupné z: https://dx.doi.org/10.1103/PhysRevLett.109.207202. |
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@article{1299819,
author = {Bravyi, Sergey and Caha, Libor and Movassagh, Ramis and Nagaj, Daniel and Shor, Peter},
article_location = {COLLEGE PK},
article_number = {20},
doi = {http://dx.doi.org/10.1103/PhysRevLett.109.207202},
keywords = {spin chains},
language = {eng},
issn = {0031-9007},
journal = {Physical Review Letters},
title = {Criticality without Frustration for Quantum Spin-1 Chains},
volume = {109},
year = {2012}
}
TY - JOUR
ID - 1299819
AU - Bravyi, Sergey - Caha, Libor - Movassagh, Ramis - Nagaj, Daniel - Shor, Peter
PY - 2012
TI - Criticality without Frustration for Quantum Spin-1 Chains
JF - Physical Review Letters
VL - 109
IS - 20
SP - 1-5
EP - 1-5
PB - Americal Physical Society
SN - 00319007
KW - spin chains
N2 - Frustration-free (FF) spin chains have a property that their ground state minimizes all individual terms in the chain Hamiltonian. We ask how entangled the ground state of a FF quantum spin-s chain with nearest-neighbor interactions can be for small values of s. While FF spin-1/2 chains are known to have unentangled ground states, the case s 1 remains less explored. We propose the first example of a FF translation-invariant spin-1 chain that has a unique highly entangled ground state and exhibits some signatures of a critical behavior. The ground state can be viewed as the uniform superposition of balanced strings of left and right brackets separated by empty spaces. Entanglement entropy of one half of the chain scales as 1/2 logn + O(1), where n is the number of spins. We prove that the energy gap above the ground state is polynomial in 1/n. The proof relies on a new result concerning statistics of Dyck paths which might be of independent interest.
ER -
BRAVYI, Sergey, Libor CAHA, Ramis MOVASSAGH, Daniel NAGAJ a Peter SHOR. Criticality without Frustration for Quantum Spin-1 Chains. \textit{Physical Review Letters}. COLLEGE PK: Americal Physical Society, 2012, roč.~109, č.~20, s.~1-5. ISSN~0031-9007. Dostupné z: https://dx.doi.org/10.1103/PhysRevLett.109.207202.
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