Quantum phase transitions about parity breaking in matrix product systems

ZHU Jing-Min

doi:10.1088/1674-1137/35/2/007

Chinese Physics C> 2011, Vol. 35> Issue(2) : 144-148 DOI: 10.1088/1674-1137/35/2/007

Quantum phase transitions about parity breaking in matrix product systems

ZHU Jing-Min

College of Optoelectronic Technology, Chengdu University of Information Technology, Chengdu 610225, China

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According to our scheme to construct quantum phase transitions (QPTs) in spin chain systems with matrix product ground states, we first successfully combine matrix product state (MPS) QPTs with spontaneous symmetry breaking. For a concrete model, we take into account a kind of MPS QPTs accompanied by spontaneous parity breaking, though for either side of the critical point the GS is typically unique, and show that the kind of MPS QPTs occur only in the thermodynamic limit and are accompanied by the appearance of singularities, diverging correlation length, vanishing energy gap and the entanglement entropy of a half-infinite chain not only staying finite but also whose first derivative discontinuous.

References

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ZHU Jing-Min. Quantum phase transitions about parity breaking in matrix product systems[J]. Chinese Physics C, 2011, 35(2): 144-148. doi: 10.1088/1674-1137/35/2/007

ZHU Jing-Min. Quantum phase transitions about parity breaking in matrix product systems[J]. Chinese Physics C, 2011, 35(2): 144-148. doi: 10.1088/1674-1137/35/2/007 shu

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Received: 2010-05-10
Revised: 2010-06-16

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沈阳化工大学材料科学与工程学院沈阳 110142

Quantum phase transitions about parity breaking in matrix product systems

College of Optoelectronic Technology, Chengdu University of Information Technology, Chengdu 610225, China

Received Date: 2010-05-10

Accepted Date: 2010-06-16

Available Online: 2011-02-05

Abstract: According to our scheme to construct quantum phase transitions (QPTs) in spin chain systems with matrix product ground states, we first successfully combine matrix product state (MPS) QPTs with spontaneous symmetry breaking. For a concrete model, we take into account a kind of MPS QPTs accompanied by spontaneous parity breaking, though for either side of the critical point the GS is typically unique, and show that the kind of MPS QPTs occur only in the thermodynamic limit and are accompanied by the appearance of singularities, diverging correlation length, vanishing energy gap and the entanglement entropy of a half-infinite chain not only staying finite but also whose first derivative discontinuous.

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