Multipartite entanglement, quantum coherence, and quantum criticality in triangular and Sierpiński fractal lattices

Physical Review. E
Jun-Qing Cheng, Jing-Bo Xu

Abstract

We investigate the quantum phase transitions of the transverse-field quantum Ising model on the triangular lattice and Sierpiński fractal lattices by employing the multipartite entanglement and quantum coherence along with the quantum renormalization group method. It is shown that the quantum criticalities of these high-dimensional models closely relate to the behaviors of the multipartite entanglement and quantum coherence. As the thermodynamic limit is approached, the first derivatives of the multipartite entanglement and quantum coherence exhibit singular behaviors, and the consistent finite-size scaling behaviors for each lattice are also obtained from the first derivatives. The multipartite entanglement and quantum coherence are demonstrated to be good indicators for detecting the quantum phase transitions in the triangular lattice and Sierpiński fractal lattices. Furthermore, the dimensions determine the relations between the critical exponents and the correlation length exponents for these lattices.

References

Jun 1, 2001·Physical Review Letters·A S Sørensen, K Mølmer
Jun 1, 2001·Physical Review Letters·R Raussendorf, H J Briegel
Apr 12, 2002·Nature·A OsterlohRosario Fazio
Feb 9, 2005·Physical Review Letters·L-A WuD A Lidar
Jul 7, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ryoji MiyazakiGerardo Ortiz
Aug 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hangmo Yi
Sep 23, 2014·Physical Review Letters·Yan-Kui BaiZ D Wang
Oct 18, 2014·Physical Review Letters·T BaumgratzM B Plenio
Feb 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hangmo Yi
Apr 30, 2016·Physical Review Letters·Chandrashekar RadhakrishnanTim Byrnes

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. B, Condensed Matter
P Y Lai, K K Mon
Physical Review. B, Condensed Matter
S C Bell, B W Southern
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Hangmo Yi
© 2022 Meta ULC. All rights reserved