Quantum entanglement in condensed matter systems

N Laflorencie - Physics Reports, 2016 - Elsevier
This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

Disorder operator and Rényi entanglement entropy of symmetric mass generation

ZH Liu, Y Da Liao, G Pan, M Song, J Zhao, W Jiang… - Physical Review Letters, 2024 - APS
The “symmetric mass generation”(SMG) quantum phase transition discovered in recent
years has attracted great interest from both condensed matter and high energy theory …

Fermion disorder operator at gross-neveu and deconfined quantum criticalities

ZH Liu, W Jiang, BB Chen, J Rong, M Cheng, K Sun… - Physical Review Letters, 2023 - APS
The fermion disorder operator has been shown to reveal the entanglement information in 1D
Luttinger liquids and 2D free and interacting Fermi and non-Fermi liquids emerging at …

Solving the fermion sign problem in quantum Monte Carlo simulations by Majorana representation

ZX Li, YF Jiang, H Yao - Physical Review B, 2015 - APS
We discover a quantum Monte Carlo (QMC) method to solve the fermion sign problem in
interacting fermion models by employing a Majorana representation of complex fermions …

Stable computation of entanglement entropy for two-dimensional interacting fermion systems

G Pan, Y Da Liao, W Jiang, J D'Emidio, Y Qi, ZY Meng - Physical Review B, 2023 - APS
There is no doubt that the information hidden in entanglement entropy (EE), for example, the
n th order Rényi EE, ie, S n A= 1 1− n ln Tr (ρ A n), where ρ A= Tr A¯ ρ is the reduced density …

Universal features of entanglement entropy in the honeycomb Hubbard model

J D'Emidio, R Orús, N Laflorencie, F De Juan - Physical Review Letters, 2024 - APS
The entanglement entropy is a unique probe to reveal universal features of strongly
interacting many-body systems. In two or more dimensions these features are subtle, and …

Many versus one: The disorder operator and entanglement entropy in fermionic quantum matter

W Jiang, BB Chen, ZH Liu, J Rong, FF Assaad… - SciPost Physics, 2023 - scipost.org
Motivated by recent development of the concept of the disorder operator and its relation with
entanglement entropy in bosonic systems, here we show the disorder operator successfully …

Simple fermionic model of deconfined phases and phase transitions

FF Assaad, T Grover - Physical Review X, 2016 - APS
Using quantum Monte Carlo simulations, we study a series of models of fermions coupled to
quantum Ising spins on a square lattice with N flavors of fermions per site for N= 1, 2, and 3 …

The teaching from entanglement: 2D SU (2) antiferromagnet to valence bond solid deconfined quantum critical points are not conformal

Y Da Liao, G Pan, W Jiang, Y Qi, ZY Meng - arXiv preprint arXiv …, 2023 - arxiv.org
The deconfined quantum critical point (DQCP)--the enigmatic incarnation of the quantum
phase transition beyond the Landau-Ginzburg-Wilson paradigm of symmetries and their …

Integral algorithm of exponential observables for interacting fermions in quantum Monte Carlo simulations

X Zhang, G Pan, BB Chen, K Sun, ZY Meng - Physical Review B, 2024 - APS
Exponential observables, formulated as ln〈 e X ̂〉 where X ̂ is an extensive quantity, play
a critical role in the study of quantum many-body systems, examples of which include the …